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Related papers: QCD splitting functions beyond kinematical limits

200 papers

We elaborate on the radiative behaviour of tree-level scattering amplitudes in the soft regime. We show that the sub-leading soft term in single-gluon emission of quark-gluon amplitudes in QCD is controlled by differential operators, whose…

High Energy Physics - Theory · Physics 2015-06-23 Hui Luo , Pierpaolo Mastrolia , William J. Torres Bobadilla

We present a systematic method to evaluate the splitting functions for tree-level QCD processes where m partons approach the collinear limit. The splitting functions are computed by deriving on-shell recursion equations, which are similar…

High Energy Physics - Phenomenology · Physics 2012-10-03 Stefano Catani , Petros Draggiotis , Germán Rodrigo

We present two novel results about the universal structure of radiative QED amplitudes in the soft and in the collinear limit. On the one hand, we extend the well-known Low-Burnett-Kroll theorem to the one-loop level and give the explicit…

High Energy Physics - Phenomenology · Physics 2022-05-04 Tim Engel , Adrian Signer , Yannick Ulrich

We review recent results on the phase structure of QCD and bulk QCD thermodynamics. In particular we discuss how universal critical scaling related to spontaneous breaking of the chiral symmetry manifests itself in recent lattice QCD…

High Energy Physics - Lattice · Physics 2017-10-11 Christian Schmidt , Sayantan Sharma

We introduce a modular quantum circuit primitive to model entanglement dynamics in QCD parton splitting and use it as a composable building block for data-driven, physics-consistent event generation. For the pure-gluon channel, we derive an…

Quantum Physics · Physics 2026-05-25 Gabriel Rouxinol , Yacine Haddad , Cenk Tüysüz , Sofia Vallecorsa , Michele Grossi

The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed "scalar QCD". It is shown that the flowed scalar quark requires a field renormalization, albeit only beyond the one-loop level.…

High Energy Physics - Phenomenology · Physics 2025-03-26 J. Borgulat , N. Felten , R. V. Harlander , J. T. Kohnen

The scale evolution of parton distributions is governed by splitting functions. We compute the four-loop splitting functions in perturbative QCD that control the evolution of quark non-singlet distributions. We confirm previous partial…

High Energy Physics - Phenomenology · Physics 2026-04-27 Thomas Gehrmann , Andreas von Manteuffel , Vasily Sotnikov , Tong-Zhi Yang

We present a formalism for a fully coherent QED parton shower. The complete multipole structure of photonic radiation is incorporated in a single branching kernel. The regular on-shell 2 to 3 kinematic picture is kept intact by dividing the…

High Energy Physics - Phenomenology · Physics 2018-01-17 Ronald Kleiss , Rob Verheyen

Chiral symmetry breaking is calculated as a function of cooling in quenched lattice QCD. A non-zero signal is found for the chiral condensate beyond one hundred cooling steps, suggesting that there is chiral symmetry breaking associated…

High Energy Physics - Lattice · Physics 2009-10-28 R. M. Woloshyn , F. X. Lee

In this review I am going to present biased by personal experience review of QCD. The review covers topics like Improved Transverse Momentum Dependent Factorization, $k_T$ dependent splitting functions, Transversal Momentum Dependent parton…

High Energy Physics - Phenomenology · Physics 2020-12-25 Krzysztof Kutak

We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix…

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

Gluodynamics and two-flavor QCD at non-zero temperature are studied with the so-called overimproved cooling technique under which caloron solutions may remain stable. We consider topological configurations either at the first occuring…

High Energy Physics - Lattice · Physics 2013-06-21 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov , V. K. Mitrjushkin , M. Muller-Preussker

The combination of collinear factorization with effective field theory originally developed for soft interactions of heavy quarks provides the foundations of the theory of exclusive and semi-inclusive B decays. In this article I summarize…

High Energy Physics - Phenomenology · Physics 2015-01-30 M. Beneke

I present results for the resummation of soft-gluon contributions to QCD hard-scattering cross sections at next-to-next-to-leading logarithm accuracy. A key ingredient is the calculation of two-loop soft anomalous dimensions for the…

High Energy Physics - Phenomenology · Physics 2011-04-12 Nikolaos Kidonakis

We consider the factorization properties of on-shell QCD amplitudes with massive partons in the limit when all kinematical invariants are large compared to the parton mass and discuss the structure of their infrared singularities. The…

High Energy Physics - Phenomenology · Physics 2009-01-07 S. Moch , A. Mitov

We present the perturbative and non-perturbative QCD structure of the dipole-dipole scattering amplitude in momentum space. The perturbative contribution is described by two-gluon exchange and the non-perturbative contribution by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. I. Shoshi , F. D. Steffen , H. G. Dosch , H. J. Pirner

The in-medium dispersion of hard partons, encoded in their so-called asymptotic mass, receives large non-perturbative contributions from classical gluons, i.e. soft gluons with large occupation numbers. Here, we discuss how the analytical…

High Energy Physics - Phenomenology · Physics 2023-07-19 Jacopo Ghiglieri , Guy D. Moore , Philipp Schicho , Niels Schlusser , Eamonn Weitz

The singular behaviour of QCD squared amplitudes in the collinear limit is factorized and controlled by splitting kernels with a process-independent structure. We use these kernels to define collinear functions that can be used in QCD…

High Energy Physics - Phenomenology · Physics 2023-04-11 Stefano Catani , Prasanna K. Dhani

We present the analytic form of the two-loop five-gluon scattering amplitudes in QCD for a complete set of independent helicity configurations of external gluons. These include the first analytic results for five-point two-loop amplitudes…

High Energy Physics - Phenomenology · Physics 2019-03-06 S. Abreu , J. Dormans , F. Febres Cordero , H. Ita , B. Page

We determine the analytic expression of the damping rates for very soft moving quarks in an expansion to second order in powers of their momentum in the context of QCD at high temperature. The calculation is performed using the…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. Abada , K. Bouakaz , N. Daira-Aifa