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Related papers: Soft anomalous dimensions and resummation in QCD

200 papers

We calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analytically from first principles. In addition, we determine the complete matter dependence of the quark and gluon collinear anomalous…

High Energy Physics - Phenomenology · Physics 2020-05-12 Andreas von Manteuffel , Erik Panzer , Robert M. Schabinger

I discuss the motivation for resummation of the effects of initial-state soft gluon radiation, to all orders in the strong coupling strength, for processes in which the near-threshold region in the partonic subenergy is important. I…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edmond L. Berger

We establish a correspondence between ultraviolet singularities of soft factors for multiparticle production and rapidity singularities of soft factors for multiparton scattering. This correspondence is a consequence of the conformal…

High Energy Physics - Phenomenology · Physics 2017-02-24 Alexey A. Vladimirov

The asymptotic behaviour at large N of the MS-bar quark anomalous dimensions is derived to all orders assuming only MS-bar factorization and standard results for the exponentiation of soft logarithms in the quark initiated bare cross…

High Energy Physics - Phenomenology · Physics 2014-11-17 Simon Albino , Richard D. Ball

We study the threshold corrections for inclusive deep-inelastic scattering (DIS) and their all-order resummation. Using recent results for the QCD form factor, related anomalous dimensions and Mellin moments of DIS structure functions at…

High Energy Physics - Phenomenology · Physics 2020-03-31 Goutam Das , Sven-Olaf Moch , Andreas Vogt

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

We consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. We show that the recent computation of the soft-virtual corrections to Higgs boson production at N$^3$LO [1] together with the…

High Energy Physics - Phenomenology · Physics 2015-06-19 S. Catani , L. Cieri , D. de Florian , G. Ferrera , M. Grazzini

A simple ansatz is suggested for the structure of threshold resummation of the momentum space physical evolution kernels (`physical anomalous dimensions') at all orders in (1-x), taking as examples Deep Inelastic Scattering (F_2(x, Q^2) and…

High Energy Physics - Phenomenology · Physics 2007-11-13 Georges Grunberg

We identify and resum corrections associated with the kinematic recoil of the hard scattering against soft-gluon emission in single-particle inclusive cross sections. The method avoids double counting and conserves the flow of partonic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eric Laenen , George Sterman , Werner Vogelsang

We present the threshold resummation for the cross section of heavy quark production in polarized deep-inelastic scattering to next-to-leading logarithmic accuracy and in single-particle inclusive kinematics. We expand our resummed result…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. O. Eynck , S. Moch

We explore the relation between resummation and explicit multi-loop calculations for QCD hard-scattering amplitudes. We describe how the factorization properties of amplitudes lead to the exponentiation of double and single poles at each…

High Energy Physics - Phenomenology · Physics 2014-11-17 George Sterman , Maria E. Tejeda-Yeomans

We perform a threshold resummation calculation for the associated production of squarks and electroweakinos at the LHC to the next-to-leading logarithmic (NLL) accuracy. Analytical results for the process-dependent soft anomalous dimension…

High Energy Physics - Phenomenology · Physics 2022-06-24 J. Fiaschi , B. Fuks , M. Klasen , A. Neuwirth

The cross or soft anomalous dimension matrix describes the renormalization of Wilson loops with a self-intersection and is an important object in the study of infrared divergences of scattering amplitudes. In this paper it is studied for…

High Energy Physics - Theory · Physics 2020-03-12 Hagen Münkler

A strategy for calculating the color structure needed for soft gluon resummation for processes with any number of colored partons is introduced using a N_c --> infinity inspired basis. In this basis a general formalism can be found at the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Malin Sjodahl

We extend the class of factorization theorems for non-global observables from fixed angular constraints to cross sections defined in terms of sequential jet clustering. The associated hard and soft functions depend not only on the…

High Energy Physics - Phenomenology · Physics 2023-10-02 Thomas Becher , Jürg Haag

We study the soft limit of one-loop QCD amplitudes and we derive the process-independent factorization formula that controls the singular behaviour in this limit. This is obtained from the customary eikonal factorization formula valid at…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Catani , M. Grazzini

In calculations of (semi-) inclusive events within perturbative Quantum Chromodynamics, large logarithmic corrections arise from certain kinematic regions of interest which need to be resummed. When resumming soft gluon effects one…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carola F. Berger

Soft function relevant for transverse-momentum resummation for Drell-Yan or Higgs production at hadron colliders are computed through to three loops in the expansion of strong coupling, with the help of bootstrap technique and…

High Energy Physics - Phenomenology · Physics 2018-07-25 Ye Li , Hua Xing Zhu

I present a theoretical discussion of the uncertainties related to the QCD analysis of the proton structure function $F_2(x,Q^2)$ at small $x$. The role played by the `unphysical' gluon density is pointed out. It is shown how the study of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefano Catani

We consider elastic quark-quark scattering at high energy and fixed transferred momentum. Performing factorization of soft gluon exchanges into Wilson line expectation value we find that there is one-to-one correspondence between high…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. A. Korchemskaya , G. P. Korchemsky