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Over the past couple of years we have had significant progress in determining long-distance singularities in gauge-theory scattering amplitudes of massless particles beyond the planar limit. Upon considering all kinematic invariants much…

高能物理 - 唯象学 · 物理学 2018-01-11 Einan Gardi

We study the factorization of soft and collinear singularities in dimensionally-regularized fixed-angle scattering amplitudes in massless gauge theories. Our factorization is based on replacing the hard massless partons by light-like Wilson…

高能物理 - 唯象学 · 物理学 2009-03-19 Einan Gardi , Lorenzo Magnea

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…

高能物理 - 唯象学 · 物理学 2025-11-03 Einan Gardi , Zehao Zhu

I will review some of the recent intense activity concerning infrared and collinear divergences in gauge theory amplitudes. The central quantity in these studies is the multi-particle soft anomalous dimension matrix, which is completely…

高能物理 - 唯象学 · 物理学 2014-08-05 Lorenzo Magnea

A closed formula is obtained for the infrared singularities of dimensionally regularized, massless gauge-theory scattering amplitudes with an arbitrary number of legs and loops. It follows from an all-order conjecture for the…

高能物理 - 唯象学 · 物理学 2013-10-23 Thomas Becher , Matthias Neubert

We report on the recent completion of the three-loop calculation of the soft anomalous dimension in massless gauge-theory scattering amplitudes. This brings the state-of-the-art knowledge of long-distance singularities in multi-leg QCD…

高能物理 - 唯象学 · 物理学 2016-06-21 Einan Gardi , Øyvind Almelid , Claude Duhr

After a brief introduction to the problem of subtraction of infrared divergences for high-order collider observables, we present a preliminary study of strongly-ordered soft and collinear multiple radiation from the point of view of…

高能物理 - 唯象学 · 物理学 2022-09-14 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic accuracy through four loops and present new results for…

高能物理 - 唯象学 · 物理学 2022-03-30 Giulio Falcioni , Einan Gardi , Niamh Maher , Calum Milloy , Leonardo Vernazza

An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of legs, valid at any number of loops. It is based on the conjecture that the…

高能物理 - 唯象学 · 物理学 2013-10-23 Thomas Becher , Matthias Neubert

A formula for the two-loop infrared singularities of dimensionally regularized QCD scattering amplitudes with an arbitrary number of massive and massless legs is derived. The singularities are obtained from the solution of a…

高能物理 - 唯象学 · 物理学 2014-11-18 Thomas Becher , Matthias Neubert

We present an all-order generalized factorization formula for QCD scattering amplitudes in kinematical configurations where two or more momenta of the external partons become collinear. The singular behaviour of the scattering amplitudes in…

高能物理 - 唯象学 · 物理学 2012-12-03 Stefano Catani , Daniel de Florian , German Rodrigo

Infrared subtraction algorithms beyond next-to-leading order necessitate the analysis of multiple infrared limits of scattering amplitudes, where several particles sequentially become soft or collinear. In this contribution, we report on…

高能物理 - 唯象学 · 物理学 2024-07-11 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli

We review recent progress in determining the infrared singularity structure of on-shell scattering amplitudes in massless gauge theories. We present a simple ansatz where soft singularities of any scattering amplitude of massless partons,…

高能物理 - 唯象学 · 物理学 2014-11-20 Einan Gardi , Lorenzo Magnea

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

In the context of infrared subtraction algorithms beyond next-to-leading order, it becomes necessary to consider multiple infrared limits of scattering amplitudes, in which several particles become soft or collinear in a strongly-ordered…

高能物理 - 唯象学 · 物理学 2024-03-19 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli

In this article, we study the triple-collinear limit of scattering amplitudes, focusing the discussion in processes which include at least one photon. To deal with infrared divergences we applied dimensional regularization (DREG) and we…

高能物理 - 唯象学 · 物理学 2014-10-08 German F. R. Sborlini

We present the three-loop result for the soft anomalous dimension governing long-distance singularities of multi-leg gauge-theory scattering amplitudes of massless partons. We compute all contributing webs involving semi-infinite Wilson…

高能物理 - 唯象学 · 物理学 2016-10-26 Øyvind Almelid , Claude Duhr , Einan Gardi

The soft anomalous dimension governs the infrared singularities of scattering amplitudes to all orders in perturbative quantum field theory, and is a crucial ingredient in both formal and phenomenological applications of non-abelian gauge…

高能物理 - 唯象学 · 物理学 2017-10-25 Øyvind Almelid , Claude Duhr , Einan Gardi , Andrew McLeod , Chris D. White

We review recent results concerning the all-order structure of infrared and collinear divergences in massless gauge theory amplitudes. While the exponentiation of these divergences for nonabelian gauge theories has been understood for a…

高能物理 - 唯象学 · 物理学 2010-01-27 Lance J. Dixon , Einan Gardi , Lorenzo Magnea

We consider the most general form of soft and collinear factorization for hard-scattering amplitudes to all orders in perturbative Quantum Chromodynamics. Specifically, we present the generalization of collinear factorization to…

高能物理 - 唯象学 · 物理学 2026-03-10 Leandro Cieri , Prasanna K. Dhani , Germán Rodrigo
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