<p>We present suppression predictions from our pQCD-based energy loss model, which receives small system size corrections, for high-<i>p</i><sub><i>T</i></sub> <i>π</i>, <i>D</i> and <i>B</i> meson <i>R</i><sub><i>AB</i></sub> as a function of centrality, flavor, <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <msqrt> <msub> <mi>s</mi> <mi mathvariant="italic">NN</mi> </msub> </msqrt> </math></EquationSource> <EquationSource Format="TEX">\( \sqrt{s_{NN}} \)</EquationSource> </InlineEquation>, and <i>p</i><sub><i>T</i></sub> from large to small collision systems at RHIC and LHC. A statistical analysis is used to constrain the effective strong coupling in our model to available high-<i>p</i><sub><i>T</i></sub> suppression data from central heavy-ion collisions at RHIC and LHC, yielding good agreement with all available data. We estimate two important theoretical uncertainties in our model, stemming from: the transition between vacuum and hard thermal loop propagators in the collisional energy loss, and from the angular cutoff on the radiated gluon momentum. The model uncertainties lead to significant uncertainties in the extracted <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>α</mi> <mi>s</mi> <mrow> <mi>eff</mi> <mo>.</mo> </mrow> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {\alpha}_s^{\textrm{eff}.} \)</EquationSource> </InlineEquation> of 𝒪(30%), much larger than the uncertainties associated with the extraction procedure; however, the final uncertainty on the constrained <i>R</i><sub><i>AB</i></sub> and on extrapolations of <i>R</i><sub><i>AB</i></sub> to regions where it was not constrained, ≲ 20%, is significantly smaller than one might naively expect. We find the best fit extracted <InlineEquation ID="IEq4"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>α</mi> <mi>s</mi> <mrow> <mi>eff</mi> <mo>.</mo> </mrow> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {\alpha}_s^{\textrm{eff}.} \)</EquationSource> </InlineEquation> = <InlineEquation ID="IEq5"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mn>0.41</mn> <mrow> <mo>−</mo> <mn>0.10</mn> </mrow> <mrow> <mo>+</mo> <mn>0.14</mn> </mrow> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {0.41}_{-0.10}^{+0.14} \)</EquationSource> </InlineEquation> at RHIC and <InlineEquation ID="IEq6"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>α</mi> <mi>s</mi> <mrow> <mi>eff</mi> <mo>.</mo> </mrow> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {\alpha}_s^{\textrm{eff}.} \)</EquationSource> </InlineEquation> = <InlineEquation ID="IEq7"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mn>0.37</mn> <mrow> <mo>−</mo> <mn>0.08</mn> </mrow> <mrow> <mo>+</mo> <mn>0.11</mn> </mrow> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {0.37}_{-0.08}^{+0.11} \)</EquationSource> </InlineEquation> at LHC. When applying the statistical extraction of <i>α</i><sub><i>s</i></sub> to different subsets of experimental data, we find, consistently, that the extracted <i>α</i><sub><i>s</i></sub> remains relatively unchanged across heavy- and light-flavor final states and across central, semi-central, and peripheral collisions. We make predictions from our large-system-constrained model for small systems and find good agreement with the photon-normalized <InlineEquation ID="IEq8"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>R</mi> <mrow> <mi>d</mi> <mi>Au</mi> </mrow> <msup> <mi>π</mi> <mn>0</mn> </msup> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {R}_{d\textrm{Au}}^{\pi^0} \)</EquationSource> </InlineEquation> ≃ 0.75 in 0–5% centrality <i>d</i> + Au collisions by PHENIX. However, we find strong disagreement with the measured <InlineEquation ID="IEq9"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>R</mi> <mrow> <mi>p</mi> <mi>Pb</mi> </mrow> <msup> <mi>h</mi> <mo>±</mo> </msup> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {R}_{p\textrm{Pb}}^{h^{\pm }} \)</EquationSource> </InlineEquation> ≳ 1 in 0–5% centrality <i>p</i> + Pb collisions by ALICE and ATLAS; we argue that this disagreement is due, in large part, to centrality bias. We make predictions for the ratio of suppression in <sup>3</sup>He + Au and <i>p</i> + Au collisions, which may in the future be used to disentangle final- from initial-state suppression in small systems. We then compare our results to various subsets of data, which allows us to estimate the preferred: low-<i>p</i><sub><i>T</i></sub> scale at which non-perturbative processes become important, scales at which the strong coupling runs, and scale at which vacuum propagators transition to thermally modified propagators in collisional energy loss.</p>

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Statistical analysis of pQCD energy loss across system size, flavor, \( \sqrt{s_{NN}} \), and pT

  • Coleridge Faraday,
  • W. A. Horowitz

摘要

We present suppression predictions from our pQCD-based energy loss model, which receives small system size corrections, for high-pT π, D and B meson RAB as a function of centrality, flavor, s NN \( \sqrt{s_{NN}} \) , and pT from large to small collision systems at RHIC and LHC. A statistical analysis is used to constrain the effective strong coupling in our model to available high-pT suppression data from central heavy-ion collisions at RHIC and LHC, yielding good agreement with all available data. We estimate two important theoretical uncertainties in our model, stemming from: the transition between vacuum and hard thermal loop propagators in the collisional energy loss, and from the angular cutoff on the radiated gluon momentum. The model uncertainties lead to significant uncertainties in the extracted α s eff . \( {\alpha}_s^{\textrm{eff}.} \) of 𝒪(30%), much larger than the uncertainties associated with the extraction procedure; however, the final uncertainty on the constrained RAB and on extrapolations of RAB to regions where it was not constrained, ≲ 20%, is significantly smaller than one might naively expect. We find the best fit extracted α s eff . \( {\alpha}_s^{\textrm{eff}.} \) = 0.41 0.10 + 0.14 \( {0.41}_{-0.10}^{+0.14} \) at RHIC and α s eff . \( {\alpha}_s^{\textrm{eff}.} \) = 0.37 0.08 + 0.11 \( {0.37}_{-0.08}^{+0.11} \) at LHC. When applying the statistical extraction of αs to different subsets of experimental data, we find, consistently, that the extracted αs remains relatively unchanged across heavy- and light-flavor final states and across central, semi-central, and peripheral collisions. We make predictions from our large-system-constrained model for small systems and find good agreement with the photon-normalized R d Au π 0 \( {R}_{d\textrm{Au}}^{\pi^0} \) ≃ 0.75 in 0–5% centrality d + Au collisions by PHENIX. However, we find strong disagreement with the measured R p Pb h ± \( {R}_{p\textrm{Pb}}^{h^{\pm }} \) ≳ 1 in 0–5% centrality p + Pb collisions by ALICE and ATLAS; we argue that this disagreement is due, in large part, to centrality bias. We make predictions for the ratio of suppression in 3He + Au and p + Au collisions, which may in the future be used to disentangle final- from initial-state suppression in small systems. We then compare our results to various subsets of data, which allows us to estimate the preferred: low-pT scale at which non-perturbative processes become important, scales at which the strong coupling runs, and scale at which vacuum propagators transition to thermally modified propagators in collisional energy loss.