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相关论文: Subleading Effects in Soft-Gluon Emission at One-L…

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We provide the last missing ingredient necessary to approximate one-loop amplitudes in QCD with massive quarks in the limit of vanishing energy of a single gluon up to terms suppressed by this energy. Our main result is a soft operator…

高能物理 - 唯象学 · 物理学 2026-02-13 Michał Czakon , Kilian Erhard Minguez , Felix Eschment

For the case of $n$-jet production at next-to-next-to-leading order in the QCD coupling, in the infrared divergent corners of phase space where particles are collinear or soft, one must evaluate $(n+1)$-parton final-state one-loop…

高能物理 - 唯象学 · 物理学 2008-11-26 Zvi Bern , Vittorio Del Duca , Carl R. Schmidt

It is well known that cross-sections in perturbative QCD receive large corrections from soft and collinear radiation, whose properties must be resummed to all orders in the coupling. Whether or not the universal properties of this radiation…

高能物理 - 唯象学 · 物理学 2020-04-22 Melissa van Beekveld , Wim Beenakker , Eric Laenen , Chris D. White

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…

高能物理 - 唯象学 · 物理学 2022-05-04 Tim Engel , Adrian Signer , Yannick Ulrich

We present the one-loop QCD amplitudes for two external massless quarks and three external gluons ($\bar{q}qggg$). This completes the set of one-loop amplitudes needed for the next-to-leading-order corrections to three-jet production at…

高能物理 - 唯象学 · 物理学 2010-11-15 Z. Bern , L. Dixon , D. A. Kosower

Results are presented for the medium-induced, soft coherent radiation spectrum for all $2\to 2$ partonic channels in QCD, at leading-order in $\alpha_s$ but beyond leading logarithmic accuracy. The general formula is valid in the full…

高能物理 - 唯象学 · 物理学 2024-06-03 Greg Jackson , Stéphane Peigné , Kazuhiro Watanabe

Guided by the colour-diagonal structure of collinear singularities, we identify a set of kinematic basis functions that are well suited to the simplification of soft gluon emission amplitudes. In particular, these basis functions, which…

高能物理 - 唯象学 · 物理学 2022-06-28 Jeffrey R. Forshaw , Jack Holguin , Simon Plätzer

We investigate the soft behavior of QCD amplitudes involving multiple Wilson lines and derive compact analytic expressions for double soft gluon and double soft quark emissions at one loop. The color correlations of the soft current exhibit…

高能物理 - 唯象学 · 物理学 2025-10-29 Yu Jiao Zhu

We calculate the one-loop correction to the soft-gluon current with massive fermions. This current is process independent and controls the singular behavior of one-loop massive QCD amplitudes in the limit when one external gluon becomes…

高能物理 - 唯象学 · 物理学 2015-05-28 Isabella Bierenbaum , Michal Czakon , Alexander Mitov

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

高能物理 - 唯象学 · 物理学 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

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…

高能物理 - 唯象学 · 物理学 2009-10-31 S. Catani , M. Grazzini

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…

高能物理 - 理论 · 物理学 2015-06-23 Hui Luo , Pierpaolo Mastrolia , William J. Torres Bobadilla

We consider the singular behaviour of QCD scattering amplitudes in kinematical configurations where two or more momenta of the external partons become collinear. At the tree level, this behaviour is known to be controlled by factorization…

高能物理 - 唯象学 · 物理学 2015-06-03 Stefano Catani , Daniel de Florian , German Rodrigo

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…

高能物理 - 唯象学 · 物理学 2011-04-12 Nikolaos Kidonakis

We present an expression for the QCD amplitude for a general hard scattering process with any number of soft gluon emissions, to one-loop accuracy. The amplitude is written in two different but equivalent ways: as a product of operators…

高能物理 - 唯象学 · 物理学 2016-06-01 René Ángeles-Martínez , Jeffrey R. Forshaw , Michael H. Seymour

In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions,…

高能物理 - 唯象学 · 物理学 2007-05-23 Zvi Bern , Vittorio Del Duca , William B. Kilgore , Carl R. Schmidt

We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour…

高能物理 - 唯象学 · 物理学 2010-04-05 Stefano Catani , Daniel de Florian , German Rodrigo

An effective theory for the soft field modes in hot QCD has been obtained recently by integrating out the field modes of momenta of order T and g T. The mean hard particle distribution obeys a transport equation with a collision term. The…

高能物理 - 唯象学 · 物理学 2009-10-31 F. Guerin

We study the single soft-gluon current at two loops with two energetic partons in massless perturbative QCD, which describes, for example, the soft limit of the two-loop amplitude for $gg\to Hg$. The results are presented as Laurent…

高能物理 - 唯象学 · 物理学 2013-11-20 Ye Li , Hua Xing Zhu

Splitting amplitudes are universal functions governing the collinear behavior of scattering amplitudes for massless particles. We compute the two-loop g -> gg splitting amplitudes in QCD, N=1, and N=4 super-Yang-Mills theories, which…

高能物理 - 唯象学 · 物理学 2010-03-25 Zvi Bern , Lance J. Dixon , David A. Kosower
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