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Medium-modifications of $g\to c \bar{c}$ splitting
High Energy Physics - Phenomenology · Submitted 30 Sep 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our analysis shows that there are two qualitatively different medium effects: transverse momentum broadening of $q \bar{q}$ pairs and enhanced production of such pairs.
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The abstract, sentence by sentence
We study medium-modifications of the gluon splitting into a quark and anti-quark pair. Applying the Baier-Dokshitzer-Mueller-Peign\'e-Schiff and Zakharov (BDMPS-Z) formalism, we derive a path-integral formula for the in-medium $g\to q \bar{q}$ splitting function in the close-to-eikonal limit. Our analysis shows that there are two qualitatively different medium effects: transverse momentum broadening of $q \bar{q}$ pairs and enhanced production of such pairs. We note that both effects are numerically sizeable if the average momentum transfer from the medium to the parton is at the quark mass scale. In ultra-relativistic heavy-ion collisions, this condition is realized by charm quarks, therefore we focus our numerical analysis on the medium-modifications of $g\to c \bar{c}$ splitting.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study medium-modifications of the gluon splitting into a quark and anti-quark pair. | contribution 0.91 | 0.88 | 0.04 | unclear 0.61 |
| s1 | Applying the Baier-Dokshitzer-Mueller-Peign\'e-Schiff and Zakharov (BDMPS-Z) formalism, we derive a path-integral formula for the in-medium $g\to q \bar{q}$ splitting function in the close-to-eikonal limit. | method 0.93 | 0.95 | 0.05 | asserted 0.99 |
| s2 | Our analysis shows that there are two qualitatively different medium effects: transverse momentum broadening of $q \bar{q}$ pairs and enhanced production of such pairs. | result 1.00 | 0.95 | 0.72 | asserted 1.00 |
| s3 | We note that both effects are numerically sizeable if the average momentum transfer from the medium to the parton is at the quark mass scale. | result 0.61 | 0.85 | 0.14 | asserted 0.58 |
| s4 | In ultra-relativistic heavy-ion collisions, this condition is realized by charm quarks, therefore we focus our numerical analysis on the medium-modifications of $g\to c \bar{c}$ splitting. | contribution 0.76 | 0.73 | 0.12 | asserted 0.99 |
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The paper
Original abstract
We study medium-modifications of the gluon splitting into a quark and anti-quark pair. Applying the Baier-Dokshitzer-Mueller-Peign\'e-Schiff and Zakharov (BDMPS-Z) formalism, we derive a path-integral formula for the in-medium $g\to q \bar{q}$ splitting function in the close-to-eikonal limit. Our analysis shows that there are two qualitatively different medium effects: transverse momentum broadening of $q \bar{q}$ pairs and enhanced production of such pairs. We note that both effects are numerically sizeable if the average momentum transfer from the medium to the parton is at the quark mass scale. In ultra-relativistic heavy-ion collisions, this condition is realized by charm quarks, therefore we focus our numerical analysis on the medium-modifications of $g\to c \bar{c}$ splitting.
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What it cites · 3 sentences without a confident label
Uses data or values from 3 papers
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Left panel (from [ref] ) of Figure [ref] plots numerical results of the medium-modification of [ref] when the average squared momentum transferred from the medium is $⟨q^2⟩_med = q̂L = 4 GeV^2$.
The medium-modified $g\to c\bar{c}$ splitting function in the BDMPS-Z formalism · Numerical results · 0.89
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Therefore, medium-modifications become comparable to this mass correction at the scale [equation] From model extraction in central PbPb collisions at $√(s_NN)=5.02 TeV$, we obtain $4 GeV^2 < ⟨q^2⟩_med < 8 GeV^2$ [ref] .
Predicting parton energy loss in small collision systems · Medium-modified $g→cc̅$ splitting function · 0.98
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We estimate the size of this jet energy-loss by the average fractional energy-loss $Δp_T/p_T ≈10 %$ of inclusive jets in central PbPb collisions [ref] (blue dashed line in Figure [ref] Right).
Observation and studies of jet quenching in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV · Numerical results · 0.97
Cites as background 6 papers
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The BDMPS-Z calculation for the $c →c g$ splitting function indicates that charm quarks traversing the QGP lose energy due to medium-induced gluon radiation [ref] .
Gluon Radiation off Hard Quarks in a Nuclear Environment: Opacity Expansion · Introduction · 0.81
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The BDMPS-Z calculation for the $c →c g$ splitting function indicates that charm quarks traversing the QGP lose energy due to medium-induced gluon radiation [ref] .
Multiple Parton Scattering in Nuclei: Parton Energy Loss · Introduction · 0.81
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The BDMPS-Z calculation for the $c →c g$ splitting function indicates that charm quarks traversing the QGP lose energy due to medium-induced gluon radiation [ref] .
Heavy quark colorimetry of QCD matter · Introduction · 0.81
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