REVIEW
${\cal O}(\alpha_s^3)$ analysis of inclusive jet and di-jet production in heavy ion reactions at the Large Hadron Collider
High Energy Physics - Phenomenology · Submitted 12 May 2011 · 40 references
Pith's verdict: The p+p baseline is genuinely validated and the di-jet R_AA map is new, but the headline claim about background ambiguity rests on one hand-set cutoff with no scan.
T0 · AI review
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Referee report
The paper
The paper claims
The LHC's di-jet asymmetry is only partly explained by jet quenching, with the rest traceable to how jets are separated from the heavy-ion background.
The reading
What carries the argument
The machinery is a convolution of an exact next-to-leading-order jet calculation with a probabilistic energy-loss model. The $O(α_s^3)$ Ellis-Kunszt-Soper numerical code supplies the $2→2$ plus $2→3$ jet cross sections with realistic jet-defining phase space $S_3(p_1,p_2,p_3)$, so that jets have a finite cone radius $R$ and the tree-level constraint $E_{T1} = E_{T2}$ is broken by parton splitting. Medium effects enter through a Poisson-distributed probability $P_{q,g}(ε)$ that a parent parton loses a fraction $ε$ of its energy, multiplied by a phase-space Jacobian $|J_i(ε_i)| = 1/(1 - [1 - f(R_i,p_T^{min})]ε_i)$. The function $f(R_i,p_T^{min})$, defined as the ratio of the medium-induced radiation falling inside the cone and above $p_T^{min}$ to all of it, is the single object that carries the paper's interpretive weight: it converts the abstract question of 'how much energy left the jet' into a calculable, radius-dependent number, and the choice $p_T^{min} = 0$ versus $20$ GeV is what separates the pure-radiative scenario from the collisional-or-mis-subtraction scenario.
Extended reading notes
Core claim
The central claim is quantitative and twofold. First, at $O(α_s^3)$ the proton-proton di-jet asymmetry distribution at $√s = 7$ TeV agrees with the ATLAS measurement essentially without non-perturbative corrections, and the corresponding lead-lead calculation with only radiative energy loss produces a di-jet asymmetry $A_J$ distribution that is broader than the proton-proton baseline but accounts for only roughly one third to one half of the extra broadening seen by ATLAS and CMS. Second, if a fraction of the medium-induced parton shower is either subtracted as uncorrelated soft background or lost outside the cone through collisional processes — modeled by setting $p_T^{min} = 20$ GeV in the energy-redistribution fraction $f(R_i, p_T^{min})$, corresponding to $⟨δE_T⟩ ≃ 15$ GeV inside $R=0.5$ and $≃ 5$ GeV inside $R=0.2$ for a 100 GeV gluon jet — then the calculated asymmetry grows substantially and, notably, its dependence on the jet radius $R$ disappears. The authors also report the first calculation of the di-jet nuclear modification factor $R_{AA}^{2-jet}$ in heavy-ion collisions: it shows a broad region of suppression near $E_{T1} = E_{T2}$ and strong enhancement when the two jets are very unequal, which is what flattens the predicted $A_J$ distribution and rules out a peak at finite asymmetry from jet-quenching physics alone.
Load-bearing premise
The load-bearing premise is that a single hand-chosen cutoff of 20 GeV in the energy-redistribution fraction faithfully represents both the misassignment of medium-induced shower fragments to the soft background and the collisional diffusion of shower energy outside the cone, when only the two endpoints 0 and 20 GeV are shown and no independent experimental handle on the actually mis-subtracted energy is offered.
Editorial extensions
If this is right
- Radiative jet quenching alone cannot reproduce the full di-jet asymmetry broadening measured by ATLAS and CMS in central Pb+Pb collisions at 2.76 TeV; a non-radiative contribution of order the radiative one is required.
- The observed insensitivity of the di-jet asymmetry to the jet cone radius $R$ over $R = 0.2$ to $0.6$ is naturally explained if part of the shower energy is lost outside the cone or subtracted as background, since that mechanism removes the radius dependence that pure radiative quenching predicts.
- The RHIC result that inclusive jet suppression depends strongly on cone radius and the LHC result that di-jet asymmetry does not are not necessarily in conflict; they can both hold if the asymmetry measurement is partly sensitive to background handling.
- A statistical peak in the asymmetry distribution at finite $A_J \simeq 0.4$ is not compatible with realistic jet-quenching calculations, whose $A_J$ distribution is flat once the broad, nearly constant di-jet suppression region is accounted for.
- Ratios of jet cross sections at two cone radii can suppress cold nuclear matter effects, but at small radii $R \sim 0.2$ non-perturbative hadronization corrections may shift those ratios by as much as 50 percent, so they must be constrained in proton-proton data first.
Reading between the lines
- If the mis-subtracted energy per jet is closer to 5 GeV or 40 GeV than to 20 GeV, the paper's own accounting implies the split between radiative and non-radiative broadening shifts accordingly; a scan over $p_T^{min}$ rather than the two endpoints shown would turn this into a constraint rather than an illustration.
- The proposal suggests a discriminating measurement: recovering the energy flow at angles larger than $R$ and checking whether it matches the missing momentum in asymmetric di-jets. Energy found outside the cone favors collisional diffusion; energy absent entirely favors mis-subtraction.
- Photon-tagged or Z-tagged jets, where the tagging object carries no colour charge and hence no medium-induced radiation, could calibrate how much soft energy is genuinely attributable to the jet versus the underlying event, providing an independent handle on the subtraction ambiguity that this paper can only parametrize.
- Because the same cutoff simultaneously broadens the asymmetry and flattens its radius dependence, the pair (asymmetry broadening, radius slope) forms a two-dimensional signature; future measurements of both in the same kinematic bin would over-constrain the model.
Original abstract
Jets physics in heavy ion reactions is an important new area of active research at the Relativistic Heavy Ion Collider (RHIC) and at the Large Hadron Collider (LHC) that paves the way for novel tests of QCD multi-parton dynamics in dense nuclear matter. At present, perturbative QCD calculations of hard probes in elementary nucleon-nucleon reactions can be consistently combined with the effects of the nuclear medium up to $ {\cal O}(\alpha_s^3) $. While such accuracy is desirable but not necessary for leading particle tomography, it is absolutely essential for the new jet observables. With this motivation, we present first results and predictions to $ {\cal O}(\alpha_s^3) $ for the recent LHC lead-lead (Pb+Pb) run at a center-of-mass energy of 2.76 TeV per nucleon-nucleon pair. Specifically, we focus on the suppression of the single and double inclusive jet cross sections. Our analysis includes not only final-state inelastic parton interactions in the QGP, but also initial-state cold nuclear matter effects and an estimate of the non-perturbative hadronization corrections. We demonstrate how an enhanced di-jet asymmetry in central Pb+Pb reactions at the LHC, recently measured by the ATLAS and CMS experiments, can be derived from these results. We show quantitatively that a fraction of this enhancement may be related to the ambiguity in the separation between the jet and the soft background medium and/or the diffusion of the parton shower energy away from the jet axis through collisional processes. We point to a suite of measurements that can help build a consistent picture of parton shower modification in heavy ion collisions at the LHC.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
Jets physics in heavy ion reactions is an important new area of active research at the Relativistic Heavy Ion Collider (RHIC) and at the Large Hadron Collider (LHC) that paves the way for novel tests of QCD multi-parton dynamics in dense nuclear matter. At present, perturbative QCD calculations of hard probes in elementary nucleon-nucleon reactions can be consistently combined with the effects of the nuclear medium up to $ {\cal O}(\alpha_s^3) $. While such accuracy is desirable but not necessary for leading particle tomography, it is absolutely essential for the new jet observables. With this motivation, we present first results and predictions to $ {\cal O}(\alpha_s^3) $ for the recent LHC lead-lead (Pb+Pb) run at a center-of-mass energy of 2.76 TeV per nucleon-nucleon pair. Specifically, we focus on the suppression of the single and double inclusive jet cross sections. Our analysis includes not only final-state inelastic parton interactions in the QGP, but also initial-state cold nuclear matter effects and an estimate of the non-perturbative hadronization corrections. We demonstrate how an enhanced di-jet asymmetry in central Pb+Pb reactions at the LHC, recently measured by the ATLAS and CMS experiments, can be derived from these results. We show quantitatively that a fraction of this enhancement may be related to the ambiguity in the separation between the jet and the soft background medium and/or the diffusion of the parton shower energy away from the jet axis through collisional processes. We point to a suite of measurements that can help build a consistent picture of parton shower modification in heavy ion collisions at the LHC.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Jets physics in heavy ion reactions is an important new area of active research at the Relativistic Heavy Ion Collider (RHIC) and at the Large Hadron Collider (LHC) that paves the way for novel tests of QCD multi-parton dynamics in dense nuclear matter. | background 1.00 | 0.04 | 0.03 | asserted 1.00 |
| s1 | At present, perturbative QCD calculations of hard probes in elementary nucleon-nucleon reactions can be consistently combined with the effects of the nuclear medium up to $ {\cal O}(\alpha_s^3) $. | background 0.98 | 0.07 | 0.05 | asserted 0.99 |
| s2 | While such accuracy is desirable but not necessary for leading particle tomography, it is absolutely essential for the new jet observables. | background 0.72 | 0.08 | 0.04 | asserted 1.00 |
| s3 | With this motivation, we present first results and predictions to $ {\cal O}(\alpha_s^3) $ for the recent LHC lead-lead (Pb+Pb) run at a center-of-mass energy of 2.76 TeV per nucleon-nucleon pair. | contribution 1.00 | 0.89 | 0.09 | asserted 0.99 |
| s4 | Specifically, we focus on the suppression of the single and double inclusive jet cross sections. | contribution 0.99 | 0.74 | 0.06 | asserted 0.92 |
| s5 | Our analysis includes not only final-state inelastic parton interactions in the QGP, but also initial-state cold nuclear matter effects and an estimate of the non-perturbative hadronization corrections. | method 0.77 | 0.85 | 0.05 | asserted 1.00 |
| s6 | We demonstrate how an enhanced di-jet asymmetry in central Pb+Pb reactions at the LHC, recently measured by the ATLAS and CMS experiments, can be derived from these results. | result 0.87 | 0.86 | 0.31 | asserted 1.00 |
| s7 | We show quantitatively that a fraction of this enhancement may be related to the ambiguity in the separation between the jet and the soft background medium and/or the diffusion of the parton shower energy away from the jet axis through collisional processes. | interpretation 0.93 | 0.87 | 0.25 | hedged possibility 0.93 |
| s8 | We point to a suite of measurements that can help build a consistent picture of parton shower modification in heavy ion collisions at the LHC. | future work 0.98 | 0.63 | 0.09 | asserted 0.66 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
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Figures
Figures reproduced from arXiv:1105.2566 by the authors.
References
How later papers used it
63 later papers cite it
1 later paper by other authors is listed below: 1 used its data or values.
Uses its data or values 1 of 2 papers with this label
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Used results based on this paper's analysis to find parton-initiated dijet probabilities for 120 GeV dijets in 2.76 TeV heavy-ion collisions.
Jet momentum balance independent of shear viscosity (2011) · 0.99 · paraphrased: the licence does not allow quoting
How the literature uses it
60 arXiv papers cite this in 84 sentences
Papers citing it · 58 sentences without a confident label
Uses its method or tool 3 papers
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To generate the medium-modified B-meson+b-jet cross section per binary collision, we first calculate the medium-modified b-quark+b-jet cross section as follows [ref] 1/⟨N_bin⟩ dσ^AA/dp_T^b dp_T^j = ∑_(s,s') ∫_0^1 dϵP_(s)(ϵ) 1/1-ϵ ∫_0^1 dϵ' P_(s')(ϵ') J_(s')(ϵ') dσ_(s,s')^LO+PS(p_T^b/(1-ϵ), J_(s')(ϵ') p_T^j)/dp_T^b dp_T^j,
Photon-tagged and B-meson-tagged b-jet production at the LHC · Modification of tagged b-jet production in dense QCD matter · 0.84
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Dijet spectrum in heavy ion collisions is ready to be given similarly as the inclusive jet [ref] , [equation] The two jets have symmetric final transverse momentum at leading-order.
Jet probes of QCD matter: single jets and dijets in heavy-ion collisions · Dijet productions in HIC · 0.80
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To quantify the transverse momentum imbalance between the leading jet and the subleading jet one defines the dijet transverse momentum asymmetry $A_J$ as, [equation] The $A_J$ distribution can be expressed from the dijet transverse energy spectrum as follows [ref] : [equation] where $E_T 1 = E_T 2(1+A_J)/(1-A_J)$ is the transverse energy for leading jet.
Cold Nuclear Matter Effects on Dijet Productions in Relativistic Heavy-ion Reactions at LHC · Dijet Production in nucleon-nucleon Collisions · 0.91
Uses its data or values 2 papers
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Fig. [ref] illustrates the dependence of the nuclear modification factor for single jet production $R_AA^1-jet$ in central Pb+Pb collisions on the jet size $R$ with an acceptance cut without ($p_T^min=0$ GeV) and with ($p_T^min>0$ GeV) collisional energy loss [ref] .
Probing nuclear matter with jets · Inclusive jet production in HIC · 0.83
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Using results based on the analysis of [ref] one finds for these parameters that the probability that the primary partons initiating the dijets are two gluons is about 37$%$, the probability for two quarks is about 21$%$, and the probability for a quark and a gluon is about 42$%$.
Jet momentum balance independent of shear viscosity · Calculating the Parton Shower Energy Deposition Rate · 0.99
Compares with it 1 paper
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We found that radiative energy loss supplemented with in-medium D meson dissociation [ref] and radiative plus collisional energy loss in the WHDG [ref] implementations, together with BDMPS-ASW [ref] and POWLANG [ref] describe the data reasonably well.
D meson nuclear modification factors in Pb-Pb collisions at sqrt(s_NN) = 2.76 TeV with the ALICE detector · D meson nuclear modification factors · 0.96
Cites it as background 19 papers
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As the running of heavy-ion programs at the LHC with its unprecedented colliding energies, the study of parton energy loss has been extended to medium modifications of many jet observables [ref] .
Multijet topology in high-energy nuclear collisions: jet broadening · Introduction · 0.83
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The implementation of energy loss effects in heavy ion collisions is explained in detail in, e.g., Refs. [ref] .
Light and heavy flavor dijet production and dijet mass modification in heavy ion collisions · Modification of dijet production · 0.95
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Phenomenological studies have been performed on various jet quenching observables, such as the nuclear modifications of single hadron productions [ref] , dihadron and photon-hadron correlations [ref] , as well as the observables related to fully reconstructed jets in relativistic nuclear collisions [ref] .
Extracting jet transport coefficient via single hadron and dihadron productions in high-energy heavy-ion collisions · Introduction · 0.98
What it cites · 33 sentences without a confident label
Uses the method or tool of 2 papers
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We take into account the longitudinal Bjorken expansion of the medium and, by assuming local thermal equilibrium, we can evaluate the physical quantities, such as the Debye screening scale, the in-medium jet scattering cross sections, and the mean free paths [ref] , that are employed in the calculation of the radiative energy loss [ref] .
Jet tomography of high-energy nucleus-nucleus collisions at next-to-leading order · Inclusive jet and di-jet production in heavy ion collisions · 0.91
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In the calculations that follow we will take advantage of the Ellis, Kunszt and Soper (EKS) numerical implementation of $O( α_s^3 )$ jets production in hadron-hadron collisions [ref] and the CTEQ6.1M parametrization set of parton distribution functions [ref] .
New Generation of Parton Distributions with Uncertainties from Global QCD Analysis · Inclusive jet and di-jet production in p+p collisions · 1.00
Uses data or values from 2 papers
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Specifically, one can adjust the value of $p_T i^min$ to reflect the collisional energy loss of the parton shower $⟨δE_T ⟩$ evaluated in Ref. [ref] .
Parton showers as sources of energy-momentum deposition in the QGP and their implication for shockwave formation at RHIC and at the LHC · Inclusive jet and di-jet production in heavy ion collisions · 0.89
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In central Pb+Pb collisions at the LHC, for a typical jet size $R=0.5$, on the order of 100 GeV of the jet energy is interpreted as QGP background and subtracted from the total reconstructed energy [ref] .
Observation and studies of jet quenching in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV · Quenching of inclusive jets · 0.90
Compares with 1 paper
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In this sense, our result is similar to the argument presented in [ref] that background fluctuations can generate much of the asymmetry observed by ATLAS and CMS.
Fluctuations and asymmetric jet events in PbPb collisions at the LHC · Quenching of di-jets and their $E_T$ asymmetry · 0.87
Cites as support 2 papers
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We find that a part of this enhancement may arise from the uncertainty in the jet/background separation and/or the dissipation of the energy from the shower into the QGP due to collisional processes [ref] .
Parton showers as sources of energy-momentum deposition in the QGP and their implication for shockwave formation at RHIC and at the LHC · Introduction · 0.99
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The importance of reliable $O( α_s^3 )$ calculation cannot be under emphasized, since for tagged jets and di-jets an inaccurate description of the p+p baseline at LO can produce even qualitatively incorrect jet quenching predictions [ref] .
The physics of $Z^0/\gamma^*$-tagged jets at the LHC · Summary and Conclusions · 1.00
Cites as background 2 papers
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Jet production and modification in high-energy nucleus-nucleus collisions have been proposed as new ways to unravel the properties of the hot and dense QCD medium and to elucidate the mechanisms of in-medium parton shower formation [ref] .
Jet tomography of high-energy nucleus-nucleus collisions at next-to-leading order · Summary and Conclusions · 0.95
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Jet production and modification in high-energy nucleus-nucleus collisions have been proposed as new ways to unravel the properties of the hot and dense QCD medium and to elucidate the mechanisms of in-medium parton shower formation [ref] .
The physics of $Z^0/\gamma^*$-tagged jets at the LHC · Summary and Conclusions · 0.95
Discussion
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