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We provide an elementary pedagogical introduction to some basic concepts and techniques of soft (or Sudakov) resummation, specifically in QCD, paying particular attention to simple but useful tricks of the trade. We briefly review collinear…

High Energy Physics - Phenomenology · Physics 2026-04-09 Stefano Forte , Giovanni Ridolfi

Using the electromagnetic form factor of a quark as a working example, we describe a subtraction technique to treat infrared sensitive regions in non-inclusive processes.

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Hautmann

We show that the resummation of large radiative corrections in QCD processes can be performed both in covariant gauge and in axial gauge. We extend the resummation technique to inclusive processes, concentrating on deeply inelastic…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hsiang-nan Li

We develop and discuss an infrared-finite factorization and optimized renormalization scheme for calculating exclusive processes which enables the inclusion of transverse degrees of freedom without entailing suppression of calculated…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Stefanis , W. Schroers , H. -Ch. Kim

Power corrections in QCD (both conventional and unconventional ones arising from the ultraviolet region) are discussed within the infrared finite coupling-dispersive approach. It is shown how power corrections in Minkowskian quantities can…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. Grunberg

We discuss the Sudakov form factor in the framework of the soft-collinear effective theory. The running of the short distance coefficient function from high to low scale gives the summation of Sudakov logarithms to all orders. Our…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zheng-Tao Wei

We determine the complete three-loop QCD soft anomalous dimension for multileg amplitudes involving a single massive coloured particle and any number of massless ones. This is achieved by applying a novel strategy based on a lightcone…

High Energy Physics - Phenomenology · Physics 2025-11-03 Einan Gardi , Zehao Zhu

We provide a general method to construct local infrared subtraction counterterms for unresolved radiative contributions to differential cross sections, to any order in perturbation theory. We start from the factorised structure of virtual…

High Energy Physics - Phenomenology · Physics 2018-12-26 Lorenzo Magnea , Ezio Maina , Giovanni Pelliccioli , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

We present a unified derivation of the resummation of Sudakov logarithms, directly from the factorization properties of cross sections in which they occur. We rederive in this manner the well-known exponentiation of leading and nonleading…

High Energy Physics - Phenomenology · Physics 2008-11-26 Harry Contopanagos , Eric Laenen , George Sterman

We show that a well-known simple formula for the explicit infrared poles of one-loop QCD amplitudes has a corresponding simple counterpart in unintegrated form. The unintegrated formula approximates the integrand of one-loop QCD amplitudes…

High Energy Physics - Phenomenology · Physics 2010-05-25 Mohammad Assadsolimani , Sebastian Becker , Stefan Weinzierl

There has been recent interest in understanding the all loop structure of the subleading power soft and collinear limits, with the goal of achieving a systematic resummation of subleading power infrared logarithms. Most of this work has…

High Energy Physics - Phenomenology · Physics 2020-06-24 Ian Moult , Iain W. Stewart , Gherardo Vita , Hua Xing Zhu

The dispersive approach to power corrections is given a precise implementation, valid beyond single gluon exchange, in the framework of Sudakov resummation for deep inelastic scattering and the Drell-Yan process. It is shown that the…

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

In this PhD thesis, we analyze and generalize the renormalization group approach to the resummation of large logarithms in the perturbative expansion due to soft and collinear multiparton emissions. In particular, we present a…

High Energy Physics - Phenomenology · Physics 2010-06-30 Paolo Bolzoni

We consider power-behaved contributions to hard processes in QCD arising from non-perturbative effects at low scales which can be described by introducing the notion of an infrared-finite effective coupling. Our method is based on a…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yu. L. Dokshitzer , G. Marchesini , B. R. Webber

We investigate the Sudakov double logarithmic corrections to the form factor of fermion in the SU(2)XU(1) electroweak theory. We adopt the familiar Feynman gauge and present explicit calculations at the two loop level. We show that the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Hori , H. Kawamura , J. Kodaira

We consider a four-point process, associated with a wide-angle elastic scattering of two off-mass-shell spin-1/2 matter particles, in a non-abelian gauge theory. On the basis of a worldline approach, which reverts the functional to a…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. I. Karanikas , C. N. Ktorides , N. G. Stefanis , S. M. H. Wong

We present a simple way of separating the overlap between the soft and collinear factorization formulae of QCD squared matrix elements. We check its validity explicitly for single and double unresolved emissions of tree-level processes. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zoltan Nagy , Gabor Somogyi , Zoltan Trocsanyi

The analytization procedure which allows one to remove nonphysical singularities of the QCD running coupling constant $\bar\alpha_s(q^2)$ in the infrared region is applied to standard as well as to iterative solutions of the two-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aleksey I. Alekseev

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

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
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