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Related papers: Sudakov resummation from the BFKL evolution

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High-energy evolution equations, such as the BFKL, BK or JIMWLK equations, aim at resumming the high-energy (next-to-)leading logarithms appearing in QCD perturbative series. However, the standard derivations of those equations are…

High Energy Physics - Phenomenology · Physics 2014-04-30 Guillaume Beuf

We demonstrate that all the known single- and double-logarithm summations for a parton distribution function can be unified in the Collins-Soper resummation technique by applying soft approximations appropriate in different kinematic…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jyh-Liong Lim , Hsiang-nan Li

We derive a high energy factorization theorem for inclusive gluon production in A+A collisions. Our factorized formula resums i) all order leading logarithms (g^2 \ln(1/x_{1,2}))^n of the incoming partons momentum fractions, and ii) all…

High Energy Physics - Phenomenology · Physics 2009-01-09 Francois Gelis , Tuomas Lappi , Raju Venugopalan

We compute the massive gauge and scalar corrections to form factors in both the Sudakov and threshold regimes up to and including two-loop orders. The corrections are calculated for processes involving two external fermions and scalars in…

High Energy Physics - Phenomenology · Physics 2020-12-01 B. Assi , B. A. Kniehl

We discuss how the multi-Regge factorisation of QCD amplitudes can be used in the study of multi-jet processes at colliders. We describe how the next-to-leading logarithmic (NLL) BFKL evolution can be combined with energy and momentum…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jeppe R. Andersen

We present a simple gluon production picture which is based on the McLerran-Venugopalan model and gluon BFKL evolution in relativistic heavy ion collision. Results for the multiplicity and transverse energy distribution in both the central…

High Energy Physics - Phenomenology · Physics 2009-11-11 Bo-Wen Xiao

We investigate the scale dependence of transverse momentum dependent(TMD) gluon distribution in saturation regime. We found that in the Collins-2011 scheme, the scale dependence of small x gluon TMD is governed by the same renormalization…

High Energy Physics - Phenomenology · Physics 2019-04-03 Jian Zhou

We prove the all-order exponentiation of soft logarithmic corrections to prompt photon production in hadronic collisions, by generalizing an approach previously developed in the context of Drell-Yan production and deep-inelastic scattering.…

High Energy Physics - Phenomenology · Physics 2010-04-05 Paolo Bolzoni , Stefano Forte , Giovanni Ridolfi

The appearance of large logarithmic corrections is a well-known phenomenon in the presence of widely separated mass scales. In this work, we point out the existence of large Sudakov-like logarithmic contributions related to external-leg…

High Energy Physics - Phenomenology · Physics 2022-04-05 Henning Bahl , Johannes Braathen , Georg Weiglein

We propose a method to introduce Sudakov effects to the unintegrated gluon density promoting it to be hard scale dependent. The advantage of the approach is that it guarantees that the gluon density is positive definite and that the Sudakov…

High Energy Physics - Phenomenology · Physics 2015-06-22 Krzysztof Kutak

Employing the QCD factorization formalism we compute $B_{u}^{-} \to \gamma^{\ast} \, \ell \, \bar \nu_{\ell}$ form factors with an off-shell photon state possessing the virtuality of order $m_b \, \Lambda_{\rm QCD}$ and $m_b^2$,…

High Energy Physics - Phenomenology · Physics 2022-03-09 Chao Wang , Yu-Ming Wang , Yan-Bing Wei

We have studied color-octet contributions for $J/\psi$ inclusive production at B factories, i.e., $e^+e^-\to J/\psi(^3P_J^{[8]},^1S_0^{[8]}) + X_{\mathrm{non}-c\bar c}$, using the soft gluon factorization (SGF) approach, in which the…

High Energy Physics - Phenomenology · Physics 2022-04-01 An-Ping Chen , Xiao-Bo Jin , Yan-Qing Ma , Ce Meng

We perform analysis of the small x non-linear evolution equation formulated in momentum space supplemented by higher order terms. The equation is defined in wide range of transverse momentum and longitudinal momentum fraction extending…

High Energy Physics - Phenomenology · Physics 2025-06-03 Krzysztof Kutak , Wanchen Li , Anna Stasto , Robert Straka

The transverse momentum distribution of soft hadrons and jets that accompany central hard-scattering production at hadron colliders is of great importance, since it has a direct bearing on the ability to separate new physics signals from…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. A. Khoze , A. D. Martin , M. G. Ryskin , W. J. Stirling

QCD factorization takes different forms in the large-x and small-x regimes. At large-x, collinear factorization leads to the DGLAP evolution equation, while at small-x, rapidity factorization results in the BFKL equation. To unify these…

High Energy Physics - Phenomenology · Physics 2024-07-22 Swagato Mukherjee , Vladimir Skokov , Andrey Tarasov , Shaswat Tiwari

When the allowed range of an observable grows order-by-order in perturbation theory, its perturbative expansion can have discontinuities (as in the $C$ parameter) or discontinuities in its derivatives (as in thrust or heavy jet mass) called…

High Energy Physics - Phenomenology · Physics 2022-11-08 Arindam Bhattacharya , Matthew D. Schwartz , Xiaoyuan Zhang

In the asymptotic limit $Q^2 \gg m^2$, the heavy quark form factors exhibit Sudakov behavior. We study the corresponding renormalization group equations of the heavy quark form factors which do not only govern the structure of infrared…

High Energy Physics - Phenomenology · Physics 2019-01-23 J. Blümlein , P. Marquard , N. Rana

I show that Sudakov resummation takes a particularly transparent form if one deals with the second logarithmic derivative of the short distance coefficient functions for deep inelastic scattering and the Drell-Yan process. A uniquely…

High Energy Physics - Phenomenology · Physics 2008-11-26 Georges Grunberg

We discuss the Wilson renormalization group approach to the effective action for low $x$ physics. It is shown that in the linearized, weak field regime the RG equation reduces to the BFKL equation for the evolution of the unintegrated gluon…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jamal Jalilian-Marian , Alex Kovner , Andrei Leonidov , Heribert Weigert

Perturbative corrections beyond leading-log accuracy to BFKL and BK equations, describing the rapidity evolution of QCD scattering amplitudes at high energy, exhibit strong convergence problems due to radiative corrections enhanced by large…

High Energy Physics - Phenomenology · Physics 2015-07-21 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos
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