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Related papers: Sudakov Resummation in Small-x Saturation Formalis…

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We present a formalism and detailed analytical results for soft-gluon resummation for $2\rightarrow n$ processes in single-particle-inclusive (1PI) kinematics. This generalizes previous work on resummation for $2 \rightarrow 2$ processes in…

High Energy Physics - Phenomenology · Physics 2020-08-12 Matthew Forslund , Nikolaos Kidonakis

The gauge-boson sector of perturbative scalar electrodynamics is investigated in detail as a testing ground for resummation methods in hot gauge theories. It also serves as a simple non-trivial reference system for the non-Abelian gluon…

High Energy Physics - Phenomenology · Physics 2010-11-01 U. Kraemmer , A. K. Rebhan , H. Schulz

We extend our previous results on small-x resummation in the pure Yang--Mills theory to full QCD with nf quark flavours, with a resummed two-by-two matrix of resummed quark and gluon splitting functions. We also construct the corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guido Altarelli , Richard D. Ball , Stefano Forte

High-energy logarithmic correction are enhanced when the ratio, $x = \frac{Q^2}{s}$ between the typical energy scale of a scattering process $Q$ and the total centre of mass energy available $s$ is small. We discuss recent developments on…

High Energy Physics - Phenomenology · Physics 2023-01-25 Federico Silvetti

We define a general scheme for the evolution of fragmentation functions which resums both soft gluon logarithms and mass singularities in a consistent manner and to any order, and requires no additional theoretical assumptions. Using the…

High Energy Physics - Phenomenology · Physics 2010-03-25 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

We consider Drell-Yan process in the threshold region $z\to 1$ where large logarithms appear due to soft-gluon radiations. We present a soft-collinear effective theory approach to re-sum these Sudakov-type logarithms following an earlier…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ahmad Idilbi , Xiangdong Ji

Small-$x$ logarithmic enhancements arising from high-energy gluon emissions affect both the evolution of collinearly-factorized parton densities and partonic coefficient functions. With the higher collider energy reached by the LHC, the…

High Energy Physics - Phenomenology · Physics 2016-11-04 Marco Bonvini , Simone Marzani , Tiziano Peraro

At energies much larger than the mass of the weak gauge bosons, electroweak radiative corrections can lead to significant corrections. At 1 TeV the one loop corrections can be of ${\cal O} (20 %)$ due to large contributions of the Sudakov…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles

We consider the separate effects on four fermion processes, in the TeV energy range, produced at one loop by Sudakov logarithms of universal and not universal kind, working in the 't Hooft xi=1 gauge. Summing the various vertex and box…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Beccaria , F. M. Renard , C. Verzegnassi

We derive all order soft gluon resummation in dijet azimuthal angular correlation in hadronic collisions at the next-to-leading logarithmic level. The relevant coefficients for the Sudakov resummation factor, the soft and hard factors, are…

High Energy Physics - Phenomenology · Physics 2014-12-10 Peng Sun , C. -P. Yuan , Feng Yuan

We present a simple proof of the all-order exponentiation of soft logarithmic corrections to hard processes in perturbative QCD. Our argument is based on proving that all large logs in the soft limit can be expressed in terms of a single…

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

We argue that double logarithmic corrections $\alpha_s\ln^2 x$ need to be resumed in perturbative QCD factorization theorem for exclusive $B$ meson decays, when the end-point region with a momentum fraction $x\to 0$ is important. These…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hsiang-nan Li

In Next Linear Colliders at TeV scale, electroweak double logarithmic corrections, which come from the infrared behaviors of theory can not be neglected. It is well known that in QED and QCD, double logarithmic corrections are resummed to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michihiro Hori

Analysis of small-x semi-inclusive DIS hadroproduction suggests that multiple parton radiation leads to a broadening of transverse momentum distributions beyond that predicted by a straightforward calculation in the Collins-Soper-Sterman…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Berge , P. Nadolsky , F. Olness , C. -P. Yuan

We present a systematic formalism based on a factorization theorem in soft-collinear effective theory to describe non-global observables at hadron colliders, such as gap-between-jets cross sections. The cross sections are factorized into…

High Energy Physics - Phenomenology · Physics 2024-09-17 Thomas Becher , Matthias Neubert , Ding Yu Shao , Michel Stillger

In processes at the energy much higher than electroweak scale, weak boson mass act as the infrared cutoff in weak boson loops and resulting Sudakov log corrections can be as large as 10%. Since electroweak theory is off-diagonally broken…

High Energy Physics - Phenomenology · Physics 2017-08-23 Hiroyuki Kawamura

Processes involving heavy quarks are a crucial component of the LHC physics program, both by themselves and as backgrounds for Higgs physics and new physics searches. In this work, we critically reconsider the validity of the widely-adopted…

High Energy Physics - Phenomenology · Physics 2020-03-18 Giovanni Ridolfi , Maria Ubiali , Marco Zaro

The first step to study lower bounds for a stochastic process is to prove a special property - Sudakov minoration. The property means that if a certain number of points from the index set are well separated then we can provide an optimal…

Probability · Mathematics 2022-09-20 Witold Bednorz

We develop a formalism for resumming threshold double logarithms that appear in fragmentation functions for production of heavy quarkonia. Threshold singularities appear in fixed-order calculations of quarkonium fragmentation functions in…

High Energy Physics - Phenomenology · Physics 2026-04-29 Hee Sok Chung , U-Rae Kim , Jungil Lee

We present a formalism that resums threshold-enhanced logarithms to all orders in perturbative QCD for the rapidity distribution of any colorless particle produced in hadron colliders. We achieve this by exploiting the factorization…

High Energy Physics - Phenomenology · Physics 2018-04-18 Pulak Banerjee , Goutam Das , Prasanna K. Dhani , V. Ravindran