Theses
Measurement of Dielectron Invariant Mass Spectra in Au + Au Collisions at psNN = 200GeV
                     with HBD in PHENIX
Jiayin Sun, 2016
            
               Dileptons are emitted throughout the entire space-time evolution of heavy
               ion collisions. Being colorless, these electromagnetic probes do not participate
               in the final-state strong interactions during the passage through the hot
               medium, and retain the information on the conditions of their creation. This
               characteristic renders them valuable tools for studying the properties of the
               Quark Gluon Plasma created during ultra-relativistic heavy ion collisions.
               The invariant mass spectra of dileptons contain a wealth of information on
               every stage of the evolution of heavy ion collisions. At low mass, dilepton
               spectra consist mainly of light meson decays. The medium modification of
               the light vector mesons gives insight on the chiral symmetry restoration in
               heavy ion collisions. At intermediate and high mass, there are significant
               contributions from charm and bottom, with a minor contribution from QGP
               thermal radiation. The region was utilized to measure cross sections of open
               charm and open bottom, as well as quarkonium suppression as demonstrated
               by PHENIX.
               An earlier PHENIX measurement of dielectron spectra in heavy ion collisions,
               using data taken in 2004, shows significant deviations from the hadronic
               decay expectations. The measurement, however, su↵ered from an unfavoriii
               able signal to background ratio. Random combination of electron-positron
               pairs from unrelated sources, mostly Dalitz decay of ⇡0 and external conversion
               of decay photon to electrons, is the main contributor to the background.
               Mis-identified hadrons are another major background source.
               To improve the situation, the Hadron Blind Detector (HBD), a windowless
               proximity focusing Cerenkov detector, is designed to reduce this background
               by identifying electron tracks from photon conversions and ⇡0 Dalitz
               decays. The detector has been installed and operated in PHENIX in 2009 and
               2010, where reference p+p and Au+Au data sets were successfully taken. We
               will present the dielectron results from the analysis of the Au+Au collisions,
               and compare the measured mass spectra to theoretical expectations.
               		
Measuring the anti-quark contribution to the proton spin using parity violating W
                     production in polarized proton proton collisions
Ciprian Gal, 2014
            
               			Since the 1980s the spin puzzle has been at the heart of many experimental measurements.
               The initial discovery that only ∼30% of the spin of
               			the proton comes from quarks and anti-quarks has been refined and cross checked
               by several other deep inelastic scattering (DIS) and semi inclusive
               			DIS (SIDIS) experiments. Through measurements of polarized parton distribution
               functions (PDFs) the individual contributions of the u, d, ¯u, ¯d,
               			quarks have been measured. The flavor separation done in SIDIS experiments requires
               knowledge of fragmentation functions (FFs). However, due to the
               			higher uncertainty of the anti-quark FFs compared to the quark FFs, the quark polarized
               PDFs (∆u(x), ∆d(x)) are significantly better constrained than
               			the anti-quark distributions (∆¯u(x), ∆ ¯d(x)). By accessing the antiquarks directly
               through W boson production in polarized proton-proton collisions
               			(u ¯d → W+ → e+/µ+ and du¯ → W− → e −/µ−), the large FF uncertainties are avoided
               and a cleaner measurement can be done. The parity violating single
               			spin asymmetry of the W decay leptons can be directly related to the polarized
               PDFs of the anti-quarks. The W± → e± measurement has been performed with
               			the PHENIX central arm detectors at √s = 510 GeV at the Relativistic Heavy Ion
               Collider (RHIC) and is presented in this thesis.
               			Approximately 40 pb−1 of data from the 2011 and 2012 was analyzed and a large parity
               violating single spin asymmetry for W± has been measured. The
               			combined data for 2011 and 2012 provide a single spin asymmetry for both charges:
               			• W+: −0.27 ± 0.10(stat) ± 0.01(syst)
               			• W−: 0.28 ± 0.16(stat) ± 0.02(syst)
               			These results are consistent with the different theoretical predictions at the
               1σ level. The increased statistical precision enabled and required a more
               			careful analysis of the background contamination for the this measurement. A method
               based on Gaussian Processes for Regression has been employed to 
               			determine this background contribution. This thesis contains a detailed description
               of the analysis together with the asymmetry results and future
               			prospects.
               		
Double Longitudinal Helicity Asymmetries in Pion Production from Proton Collisions,
                     Studies of Relative
                     			Luminosity Determination, and the Impact on Determination of the Gluon Spin in
                     the Proton
Andrew Manion, 2014
            
               Polarized proton-proton collisions at RHIC are being used to study
               the origin of proton spin, which arises from the spin and orbital
               angular momentum of its constituent quarks and gluons. Measurements
               at the PHENIX experiment at √s = 200 GeV of Aπ0LL,
               the double longitudinal helicity asymmetry in neutral pion production,
               are used in global analyses of world polarized scattering data,
               where they are particularly important in constraining the sector
               of gluon polarization. These measurements have ruled out maximal
               gluonic spin contributions and are consistent with a small
               or zero contribution. In the latest measurements, the statistical
               precision of the data has reached the systematic limit, prompting
               investigation into the largest of the systematic uncertainties, the
               determination of relative luminosity. Details of the 2009 measurement
               at PHENIX of Aπ0LL and its inclusion in the global analysis will
               be presented along with recent studies on systematic uncertainties,
               including a 2012 study that varied the angles of the beams in the
               PHENIX interaction region.
               		
Systematic studies of soft direct photon production in Au+Au collisions at psNN =
                     200GeV
Benjamin Bannier, 2014
            
               Direct photons are produced during all stages of a heavy-ion collision.
               Due to their very small interaction cross section with the dense hadronic
               medium, they can escape the collision almost undisturbed and transport
               information about their production environment to a detector making them
               an excellent probe in heavy-ion physics.
               The observation of both a large yield and strong elliptical flow v2 of
               soft direct photons in heavy ion collisions at RHIC has sparked a lot of
               interest. While a large yield seems to point towards abundant production
               from the early, hot stages of the interaction, large elliptical flow can be better
               understood in a picture of predominately late production when the overall
               flow of the medium has built up. Telling different production scenarios for
               soft direct photons apart has been diffcult.
               We map out the centrality-dependence of direct photon observables and
               present results for dependence of the soft direct photon yield and flow as functions
               of centrality in the momentum range 0.4GeV/c < pT < 5.0GeV/c
               from a sample of externally converted photons. Here we exploit the good
               momentum resolution of our detector for charged particles at low momenta
               and reconstruct photons in electron-positron pairs from conversions in specific
               locations in the detector material. We find that the yield of soft direct
               photons has approximately a power-law dependence on the number of participants
               in the collision, and that their flow is en par with the flow of photons
               from hadron decays, indicative of relatively late production.
               		
Low Momentum Direct Photons as a Probe of Heavy Ion Collisions
Richard Petti, 2013
            
               Relativistic heavy ion collisions have been a major research interest
               in the field of nuclear physics for the past few decades. Large
               collider facilities have been constructed to study the exotic matter
               produced in relativistic heavy ion collisions, one of which is
               the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National
               Laboratory in Upton, NY. Essential to the study of heavy
               ion collisions are probes that are produced in the collision itself.
               Photons are a very useful probe of the collisions, since they escape
               the fireball virtually unmodified and carry with them information
               about the environment in which it was produced. Recent interest
               in low momentum direct photons has increased, due to the onset of
               the “thermal photon puzzle” and the apparent inability for typical
               models to explain both a large direct photon yield excess and large
               azimuthal production asymmetry (v2) at low momentum measured
               by PHENIX. The focus of this thesis will be the measurement of
               direct photons at low momentum with the PHENIX detector in
               √sNN = 200GeV Au+Au collisions.
               Low momentum direct photons (direct is any photon not from
               a hadron decay) are notoriously difficult to measure in a heavy
               ion environment, due to large decay photon backgrounds, neutral
               hadron contamination, and worsening calorimeter resolution. A
               novel technique for measuring direct photons via their external
               conversion to di-electron pairs has been developed. The method
               virtually eliminates the neutral hadron contamination due to the
               very clean photon identification based on di-electron pair invariant
               mass cuts. The direct photon fraction, Rγ, defined as the ratio of
               the yield of inclusive photons to hadron decay photons, is measured
               through a double ratio further reducing systematic uncertainties to
               manageable levels at low momentum. The direct photon fraction
               is converted to a direct photon invariant yield and a detailed look
               at the centrality dependence of the excess yield is presented. This
               dependence is confronted with recent theoretical calculations predicting
               novel production mechanisms of direct photons and possible
               solutions to the “thermal photon puzzle”.
               		
Measurements of Cross sections and Double Longitudinal Asymmetries of π± production
                     in p + p collisions to constrain the Gluon Spin contribution to the Proton Spin
Sook Hyun Lee, 2013
            
               			The spin of the proton is known to be 1
               2!. Although its angular
               momentum sum rule in terms of constituent quark and gluon components
               has been established, its detailed decomposition is poorly
               known. What fraction is attributed to the spin (polarization) and
               orbital angular momentum component is completely unknown, and
               how much of the spin component is from the quarks and gluons
               is only partially known. Dedicated experiments in the past few
               decades have measured the sum of quark and anti-quark spin contribution
               to account for only ∼25% of the proton spin, whereas
               separating the sea-quark polarizations or constraining the contribution
               of gluon polarization is still a subject of active experimental
               research.
               The Relativistic Heavy Ion Collider (RHIC) is a unique facility
               that provides collisions between polarized protons and thereby excellent
               tools to study the role of gluons in the proton intrinsic
               angular momentum. The double longitudinal asymmetry ALL of
               single inclusive production allows access to the polarized gluon
               distribution ∆g. It does so when the asymmetry measurements
               are incorporated into the so-called global analysis where polarized
               parton distribution functions and fragmentation functions are simultaneously
               fitted to best describe various measurements from
               different experiments. While π0 at PHENIX and jets at STAR
               have mainly been putting constrains on ∆G, the first moment of
               ∆g, other channels that provide complementary information on
               ∆G are critical.
               The high pT charged pion production is expected to be sensitive
               to the sign of ∆G. The isospin symmetry with other pion species
               will enables us to visually see the sign via the ordering of ALL
               of the three pion species even without performing global analysis.
               The interpretation can also be cross checked with the one drawn
               from global analysis, where the dominance of q−g scattering in π±
               production enhances the sensitivity. For this dissertation, high pT
               charged pion production at mid-rapidity in polarized p+p collisions
               at √s = 200 GeV has been analyzed. In this work, I developed
               a new analysis including the Hadron Blind Detector, a gas-based
               Cerenkov detector, to overcome the major challenge, a large fraction
               of electrons misidentified with π±, and achieved >98% purity
               in π± sample. Along with ALL, invariant differential cross section
               has been measured for different charges separately to validate
               the current perturbative Quantum Chromo-dynamics framework.
               Through these first successful measurements, we demonstrated π±
               is a promising channel to extract crucial information on ∆G in
               that complete discussions will be available with further constrained
               charge-separated fragmentation functions and improved statistics.
               		
Single Electrons from Decays of Heavy Quarks Produced in Cu+Cu Collisions at the Relativistic
                     Heavy Ion Collider
Nicole Apadula, 2013
            
               The PHENIX experiment at the Relativistic Heavy Ion Collider
               (RHIC) has measured charm and bottom quark production at midrapidity
               in p+p, d+Au, and Au+Au collisions at √
               s = 200 GeV
               through their semi-leptonic decay into electrons. The large mass
               of the charm and bottom quarks means they are formed predominately
               by gluon-gluon fusion in the initial hard scatterings at RHIC
               and thus experience the full evolution of the medium, making them
               a good probe of medium effects. The yield in central Au+Au collisions
               is suppressed relative to p+p collisions, suggesting that the
               heavy quarks lose a significant portion of their initial energy in
               the medium. The d+Au results are enhanced relative to the p+p,
               pointing to cold nuclear matter effects that are masked by the hot
               medium in the Au+Au collisions. Studies of the intermediately
               sized Cu+Cu system provide a way to explore these competing effects
               as a function of system size and number of participating nucleons.
               In this dissertation, measurements of electrons from the decays
               of heavy quarks produced in Cu+Cu collisions are presented.
               We examine the interplay between hot and cold nuclear matter
               effects on open heavy flavor by comparing the results to those already
               measured in Au+Au and d+Au collisions. It has already
               been shown in the central Au+Au that partonic energy loss models
               are insufficient to describe the level of suppression. New models
               that include cold nuclear matter effects and the addition of meson
               dissociation are shown and compared to the Cu+Cu results.
               		
Direct Photon Tagged Jets in 200 GeV
                     Au+Au Collisions at PHENIX
Megan Connors, 2011
            
               A hot dense medium called the quark gluon plasma (QGP) has
               been created at the Relativistic Heavy Ion Collider (RHIC). Quarks
               and gluons are deconfined in the QGP state, but many of its properties
               are still under investigation. One interesting observation is
               that high momentum partons (quarks and gluons), which result
               from hard scatterings in the initial collision, lose energy as they
               travel through the medium. These partons fragment into the particles
               observed in the detector. Since fully reconstructing all the
               “jet” particles associated with the initial parton is complicated by
               the high multiplicity background produced in heavy-ion collisions,
               two particle correlations which trigger on a high momentum, pT ,
               particle and measure the yield of associated particles in the event
               as a function of the azimuthal angle, ∆φ, are used instead.
               Di-hadron correlations are useful for observing suppression of the
               away-side (∆φ > π/2) jet yield and some features potentially due
               to the medium’s response to the lost energy. However, the hadron
               triggers, since they are fragments of a modified jet themselves, are
               biased to be near the surface of the medium and the jet energy is
               unknown. Since photons do not interact via the strong force, they
               are unmodified by the medium and provide an unbiased trigger.
               Direct photons result directly from the hard scattering. They balance
               the energy of the opposing parton and provide knowledge of
               the opposing jet momentum. Therefore, by measuring the hadron
               yield on the away-side, opposite the direct photon trigger, the jet
               fragmentation function, which describes how partons fragment into
               hadrons, can be measured as a function of zT = phT/pT γ. By comparing
               the spectra in Au+Au collisions to that in p+p collisions,
               the effective modifications of the fragmentation function can be
               quantified.
               Using the data collected by PHENIX during the 2007 RHIC Run,
               suppression of the away-side yield and the modified fragmentation
               function is measured via direct photon-hadron correlations. By including
               lower pT hadrons in the measurement, the altered shape of
               the modified fragmentation function is studied. Possible enhancement
               of the lowest zT particles suggests that the energy lost at high
               pT is redistributed to low pT particle production.
               		
A Measurement of Electrons From Heavy Quarks in p+p Collisions at √s = 200 GeV
Harry Themann, 2011
            
               The Relativistic Heavy Ion Collider (RHIC) at BNL offers a unique
               opportunity in that it is capable of colliding protons and nuclei,
               including asymmetric collisions of different species. Open heavy
               quarks, that is charm or bottom not forming bound cc¯ or b ¯b pairs
               are important probes of the Quark Gluon Plasma at the Relativistic
               Heavy Ion Collider at BNL. They are formed at the initial collision
               of the nuclei and thus any effect to their transverse momentum
               spectra or azimuthal distribution can only come from their interaction
               with the matter created in the collision. One of the most
               powerful techniques of measuring these effects is to divide AuAu
               data by appropriately scaled pp data. This work focuses on providing
               the best possible pp reference both in scope and precision.
               Transverse momentum (pT ) spectra of electrons from semileptonic
               weak decays of heavy flavor mesons in the range of 0.3 < pT <
               15.0GeV/c have been measured at mid-rapidity (|y| < 0.35) beyond
               the previous published range of pT < 9.0GeV/c. This is done
               using a new technique exploiting the observed characteristics of energy
               deposition in the PHENIX electromagnetic calorimeters. We
               present this technique as well as the final measurement compared
               to FONLL theory predictions of open charm and bottom cross section.
               		
Dielectron Mass Spectra in √sNN = 200 GeV Cu+Cu Collisions at PHENIX
Sarah Campbell, 2011
            
               The dielectron mass spectrum consists of light vector meson decays, correlated
               heavy quark contributions and decays from other hadronic and photonic sources.
               Thermal radiation and modifications to the light vector mesons may provide
               additional signals at low masses above known hadronic sources. The PHENIX
               √sNN = 200 GeV Au+Au and Cu+Cu analyses have measured a centrality dependent
               excess in the the low mass region between 0.15 GeV/c2 and 0.75 GeV/c2.
               Between the φ and the J/ψ, in the intermediate mass range, the correlated heavy
               quark decays are the primary dielectron source; direct photons may augment this
               region as well.
               The Cu+Cu system is sensitive to the onset of the dielectron excess. By studying
               the Cu+Cu mass spectra and yields as a function of pair pT and collision centrality
               we obtain further understanding of its behavior. Comparisons to the PHENIX
               Au+Au and p+p measurements an extrapolations from theory are presented.
               		
Search for jet interactions with quark-gluon plasma
John Chen, 2011
            
               A hot, dense QCD medium is created in heavy ion collisions at
               the Relativistic Heavy Ion Collider at Brookhaven National Laboratory.
               This new type of matter is opaque to energetic partons,
               which suffer a strong energy loss in the medium. Two particle
               correlations are a powerful tool to study the jet properties in the
               medium and provide information about the energy loss mechanism
               and jet-medium interactions. When triggering on high pT particles,
               the away-side shape depends strongly on the pT of the associated
               particles.
               In this analysis, we present the inclusive photon-hadron two
               particle azimuthal correlations measured in Au+Au collisions at
               √sNN = 200 GeV by PHENIX experiment. In order to study
               jet-medium interactions, we focus on intermediate pT , and subtract
               particle pairs from the underlying event. Jet-like correlations
               appear modified in central Au+Au compared to p+p, in both the
               trigger and opposing jet. The trigger jet is elongated in pseudorapidity
               (the “ridge”), while the opposing jet shows a double peak
               structure (”head” and “shoulder”). We decompose the structures
               in ∆η and ∆φ to disentangle contributions from the medium and
               the punch-through and trigger jets. Upon correcting the underlying
               event for elliptic flow, the ridge is observed for associated
               particle pT below 3 GeV/c; it is broad in rapidity and narrow in
               ∆φ. The away side correlated particle yield is enhanced in central
               collisions. The yield of particles in the shoulder grows with centrality
               while the away side punch-through jet is suppressed. Remarkably,
               the ridge closely resembles the shoulder in the centrality
               dependence of particle yield and spectra.
               There has been great debate about the origin of the ridge and
               shoulder. A favored explanation is that the structure is due to
               features of the collective flow of particles in the underlying event,
               particularly the fluctuation-driven triangular flow, quantified by
               the third Fourier component, v3. We measure higher order Fourier
               harmonics in two ways, and use the results to give the shape of
               particle correlations in the underlying event. We decompose the
               power spectrum for the medium and for jets measured in p+p
               collisions.
               When including the higher harmonics of the collective flow (v3,
               v4) in the shape of the underlying events in two particle correlations,
               the ridge and shoulder no longer exist after subtraction. The
               jet function in Au+Au looks like p+p in which the away side jet
               is suppressed and broadened. There is also a pedestal-like structure
               in the jet function. Since the higher harmonics only change
               the shape of the underlying background, the pedestal is simply the
               redistribution of the ridge and shoulder particle yields.
               In conclusion, when jets pass through the medium, the away
               side jet is suppressed and the shape is broadened. This also brings
               out extra particles with spectra slightly harder than the medium,
               but softer than jet fragments. These are probably from the jetmedium
               interaction.
               		
Cold Nuclear Matter Effects on Heavy Quark Production in Relativistic Heavy Ion Collisions
John Durham, 2011
            
               The experimental collaborations at the Relativistic Heavy Ion Collider
               (RHIC) have established that dense nuclear matter with partonic
               degrees of freedom is formed in collisions of heavy nuclei at
               √sNN = 200 GeV. Information from heavy quarks has given significant
               insight into the dynamics of this matter. Charm and bottom
               quarks are dominantly produced by gluon fusion in the early stages
               of the collision, and thus experience the complete evolution of the
               medium. The production baseline measured in p + p collisions
               can be described by fixed order plus next to leading log perturbative
               QCD calculations within uncertainties. In central Au+Au
               collisions, suppression has been measured relative to the yield in
               p + p scaled by the number of nucleon-nucleon collisions, indicating
               a significant energy loss by heavy quarks in the medium. The
               large elliptic flow amplitude v2 provides evidence that the heavy
               quarks flow along with the lighter partons. The suppression and
               elliptic flow of these quarks are in qualitative agreement with calculations
               based on Langevin transport models that imply a viscosity
               to entropy density ratio close to the conjectured quantum lower
               bound of 1/4π. However, a full understanding of these phenomena
               requires measurements of cold nuclear matter (CNM) effects,
               which should be present in Au+Au collisions but are difficult to
               distinguish experimentally from effects due to interactions with the
               medium.
               This thesis presents measurements of electrons at midrapidity from
               the decays of heavy quarks produced in d+Au collisions at RHIC.
               A significant enhancement of these electrons is seen at a transverse
               momentum below 5 GeV/c, indicating strong CNM effects
               on charm quarks that are not present for lighter quarks. A simple
               model of CNM effects in Au+Au collisions suggests that the
               level of suppression in the hot nuclear medium is comparable for
               all quark flavors.
               		
Probing the Nucleus with d+Au Collisions at RHIC
Zvi Citron, 2011
            
               The Relativistic Heavy Ion Collider (RHIC) was built to produce
               and study Quark Gluon Plasma (QGP), the phase of matter
               thought to exist under conditions sufficiently hot and dense to
               create a medium in which the degrees of freedom are quarks and
               gluons rather than color neutral hadrons. Already in its early years
               of running, the data from RHIC provided tantalizing evidence of
               QGP signatures in Au+Au collisions at √sNN = 200 GeV. A crucial
               part of understanding the putative QGP in Au+Au collisions
               is to have both a well understood reference as well as a robust
               control experiment. Proton-proton collisions at the same √sNN
               serve as the baseline for heavy ion collisions at RHIC, and play
               an invaluable role in setting our frame of reference in interactions
               that do not create any nuclear medium. For the control experiment,
               RHIC’s ability to collide asymmetric beams is utilized and
               d+Au collisions are used. Unlike p+p collisions, in the d+Au system
               there is a nuclear medium present - the heavy Au nucleus -
               and so we may study this system to distinguish initial state cold
               nuclear matter effects from final state effects that occur in the hot
               dense medium of Au+Au collisions.
               Beyond its use as a control experiment, the d+Au collision system
               presents the opportunity for important study of nuclear and
               nucleonic structure, it is after all necessary for our colored parton
               theory to operate in the nucleus as well as in a QGP. Deuteron -
               gold collisions at RHIC are a powerful tool for shedding light on
               cold nuclear matter effects.
               This thesis describes two analyses of d+Au collisions measured
               by the PHENIX experiment at RHIC. The first is a measurement
               of the midrapidity yield of unidentified charged hadrons in the
               2003 RHIC run. This is used a key baseline for understanding
               particle production in Au+Au collisions as well as a detailed look
               at the Cronin effect. The second analysis measures rapidity separated
               two-particle production where one of the particles is at either
               forward or backward rapidity and the other at midrapidity. These
               measurements probe different x regions of the Au nucleus and there
               investigate shadowing, anti-shadowing and other cold nuclear matter
               effects.
               		
Measurement of
                     Fast Parton Interactions
                     with Hot Dense Nuclear Matter
                     via Two-Particle Correlations
                     at PHENIX
Michael McCumber, 2009
            
               Deconfinement of color charge in nuclear matter at high energy
               density is a topic of considerable theoretical interest and experimental
               effort. Predicted in QCD, a new phase of deconfined matter,
               the quark gluon plasma, is thought to describe a transitional
               period of the early universe following the Big Bang. The extremely
               high energy density medium created in relativistic collisions of large
               nuclei at RHIC afford an opportunity to study the properties of
               quark gluon plasma in a laboratory setting.
               Fast partons (quarks and gluons) transiting the produced medium
               have been observed to experience a large energy loss. Correlations
               between pairs of final state particles at high transverse momenta
               (pT ! 4 GeV/c) map the hadron jets resulting from these partons
               and show that partons crossing the medium are nearly fully absorbed.
               The mechanism of energy loss on length scales comparable
               to the nucleus is not fully understood, so more differential measurements
               are needed to constrain theoretical models. Quenching
               as a function of the path length through the medium adds a new
               dimension of experimental discrimination on energy loss and initial
               state geometry. The resulting away-side suppression patterns indicate
               that surviving fast partons cross the nuclear overlap region
               with little energy loss.
               The transiting partons deposit energy locally in the medium. The
               resulting medium excitations may lead to measurable signals related
               to the medium properties. Pair correlations at low pT (" 4
               GeV/c) can reflect the medium response. Comparison of correlations
               in heavy ion collisions with baseline measurements in protonproton
               collisions show modifications to the correlation shape and
               yields. Two new structures are found, both extended in rapidity,
               one centered at small azimuthal opening angle ∆φ (known as
               the “ridge”) and the other occurring at ∆φ = π ± 1.1 rad (“shoulder”).
               Comparisons between the two raise the possibility that both
               phenomena may result from the same mechanism. The medium response
               correlations are consistent with collective excitation theory,
               but pose challenges to Cherenkov gluon radiation and deflected jet
               models.
               		
