On the threshold resummation in forward pA collisions

Xiao, Bo-Wen; Yuan, Feng

doi:10.1016/j.physletb.2018.10.067

Cited by 13 publications

(6 citation statements)

References 81 publications

(109 reference statements)

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“…In this paper, through thorough studies, we identify the threshold logarithms responsible for the negative cross section problem that are missing in previous discussions [43] in the forward pA → hX, within the small-x formalism. We develop an all-order factorization theorem with systematically improvable accuracy.…”

Section: Discussionmentioning

confidence: 98%

“…We find that after resummation, the NLO predictions with the threshold logarithms resummed (NLO þ LL thr ) stay positive and agree well with the experimental data. Early suggestion of such logarithms as solutions to the negative spectrum problem can be found in [43,46]. In the same spirit, it might be interesting and instructive to notice that collinear logarithms in the NLO BK equation is the main source responsible for the unstable or even negative solutions and an improved equation with these collinear logarithms resummed solves this instability [47][48][49][50][51][52].…”

Section: Introductionmentioning

confidence: 93%

“…Here S ð1Þ is the NLO soft function for the away-from-threshold case [46,57], which contains the kinematic constraints. The second term got its contribution from the initial and final parton splitting, which will be absorbed into the threshold evolution of the PDF/FFs and this contribution has been considered in [43]. However, we note that this term alone is not responsible for the negative contribution and therefore its resummation can not resolve the negative cross section problem.…”

Section: Near Thresholdmentioning

confidence: 99%

“…However, the exhibited negative cross section when the hadron transverse momentum p h;⊥ becomes a bit larger was quite a puzzle in the community [37]. Significant efforts have been devoted to resolve this issue, see e.g., [34,[38][39][40][41][42][43] and references therein. In one of the most recent works [34], the approach introduced can maintain the positivity of the cross section to medium p h;⊥ region.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Threshold resummation for hadron production in the small- x region

2020

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We study the single hadron inclusive production in the forward rapidity region in proton-nucleus collisions. We find the longstanding negative cross section at next-to-leading-order (NLO) is driven by the large negative threshold logarithmic contributions. We established a factorization theorem for resumming these logarithms with systematically improvable accuracy within the color glass condensate formalism. We demonstrate how the threshold leading logarithmic accuracy can be realized by a suitable scale choice in the NLO results. The NLO spectrums with the threshold logarithms resummed remain positive and impressive agreements with experimental data are observed.

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Section: Discussionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 93%

Section: Near Thresholdmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Threshold resummation for hadron production in the small- x region

2020

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“…Further works [23][24][25][26][27] to improve the results are pursued. Beyond fixed order (FO), a threshold resummation which is believed to maintain the positivity of this cross section [31] is out of reach with all known approaches. Other Sudakov logarithms are also identified through NLO calculations of massive particle production in high energy pA collisions and resummed [28,29].…”

mentioning

confidence: 99%

Power Counting the Small-$x$ Observables

Kang,

Liu

2019

Preprint

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We emphasize the importance of applying power counting to the small-x observables, which introduces novel soft contributions usually missing and allows for a unified treatment of the Balitsky-Kovchegov (BK) evolution and various Sudakov logarithms. We use pA → h(p h⊥ )X at forward rapidity to highlight how the power counting yields a partonic cross section with collinear and soft sectors. We show how the kinematic constraints can be obtained in the soft sector without violating the power counting. We further show how one can resum the threshold Sudakov logarithms systematically to all orders in a re-factorized framework with additional collinear-soft contributions. Direct applications to other small-x processes involving heavy particles, jet (sub-)observables and EIC physics are straightforward.

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Semi-inclusive single-jet production in DIS at next-to-leading order in the Color Glass Condensate

Caucal,

Ferrand,

Salazar

2024

J. High Energ. Phys.

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Within the Color Glass Condensate (CGC) effective field theory, we derive the next-to-leading order (NLO) cross-section for the single-jet semi-inclusive cross-section in deep inelastic scattering (DIS) at small x, for both longitudinally and transversely polarized virtual photons. We provide analytic expressions, valid at finite Nc and suitable for numerical evaluation, for both the cross-section differential in rapidity and transverse momentum and the cross-section differential in rapidity only. Our NLO formulae demonstrate that the very forward rapidity regime is plagued by large double logarithmic corrections coming from phase space constraints on soft gluons close to the kinematic threshold for jet production. A joint resummation of small-x and threshold logarithms at single logarithmic accuracy is proposed to remedy the instability of the cross-section in this regime. By integrating over the single-jet phase space, we recover known results for the NLO DIS structure functions at small x, previously obtained using the optical theorem.

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On the threshold resummation in forward pA collisions

Cited by 13 publications

References 81 publications

Threshold resummation for hadron production in the small- x region

Threshold resummation for hadron production in the small- x region

Power Counting the Small-$x$ Observables

Semi-inclusive single-jet production in DIS at next-to-leading order in the Color Glass Condensate

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