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Related papers: Collinear Limits in QCD from MHV Rules

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The strong force which binds hadrons is described by the theory of Quantum Chromodynamics (QCD). Determining the character and manifestations of QCD is one of the most important and challenging outstanding issues necessary for a…

We revisit the description of pion production in proton-proton collisions in the light of the very precise data taken at the Large Hadron Collider (LHC) over the past decade. First attempts to include LHC results in next-to-leading order…

High Energy Physics - Phenomenology · Physics 2022-02-23 Ignacio Borsa , Daniel de Florian , Rodolfo Sassot , Marco Stratmann

We provide a new set of on-shell recursion relations for tree-level scattering amplitudes, which are valid for any non-trivial theory of massless particles. In particular, we reconstruct the scattering amplitudes from (a subset of) their…

High Energy Physics - Theory · Physics 2015-05-28 Paolo Benincasa , Eduardo Conde

In this article we review, for a mathematical audience, the computation of (tree-level) scattering amplitudes in Yang-Mills theory in detail, in order to bridge the gap in understanding of the subject between mathematicians and physicists.…

High Energy Physics - Theory · Physics 2025-07-25 Shounak De , Dmitrii Pavlov , Marcus Spradlin , Anastasia Volovich

We review recent advances in the theory of strong-interaction effects and final-state interactions in hadronic weak decays of heavy mesons. In the heavy-quark limit, the amplitudes for most nonleptonic, two-body B decays can be calculated…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Neubert

This paper is a brief survey of the Balitskii-Fadin-Kuraev-Lipatov (BFKL) approach for the description of hard or semi-hard processes in the so-called Regge limit of perturbative QCD. The starting point is a fundamental property of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alessandro Papa

After briefly introducing the framework of QCD factorization for B-> M1 M2 in the language of the Soft-Collinear Effective Theory, we firstly address the recent efforts on higher-order radiative corrections in QCD factorization. Then we…

High Energy Physics - Phenomenology · Physics 2014-11-20 Deshan Yang

In this paper, we give the general expressions for a special series of tree amplitudes of the Yang-Mills theory. This series of amplitudes have two adjacent massless spin-1 particles with extra-dimensional momenta and any number of positive…

High Energy Physics - Theory · Physics 2019-10-08 Yang An , Yi Li

We present an overview of techniques developed in recent years for the efficient calculation of one-loop multiparton amplitudes, in particular those relying on unitarity and collinear factorization.

High Energy Physics - Phenomenology · Physics 2009-10-30 Zvi Bern , Lance Dixon , David C. Dunbar , David A. Kosower

A simple formula is given for the n-field tree-level MHV gravitational amplitude, based on soft limit factors. It expresses the full S_n symmetry naturally, as a determinant of elements of a symmetric (n \times n) matrix.

High Energy Physics - Theory · Physics 2012-04-10 Andrew Hodges

We define Mellin amplitudes for the fermion-scalar four point function and the fermion four point function. The Mellin amplitude thus defined has multiple components each associated with a tensor structure. In the case of three spacetime…

High Energy Physics - Theory · Physics 2018-04-18 Josua Faller , Sourav Sarkar , Mritunjay Verma

Multi-collinear factorization limits provide a window to study how locality and unitarity of scattering amplitudes can emerge dynamically from celestial CFT, the conjectured holographic dual to gauge and gravitational theories in flat…

High Energy Physics - Theory · Physics 2021-03-05 Stephen Ebert , Atul Sharma , Diandian Wang

We examine the uncertainty of perturbative QCD factorization for hadron structure functions in deep inelastic scattering at a large value of the Bjorken variable xB. We analyze the target mass correction to the structure functions by using…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alberto Accardi , Jian-Wei Qiu

The fermionic extension of the CSW approach to perturbative gauge theory coupled with fermions is used to compute the six-quark QCD amplitudes. We find complete agreement with the results obtained by using the usual Feynman rules.

High Energy Physics - Theory · Physics 2007-05-23 Xun Su , Jun-Bao Wu

The maximally helicity violating (MHV) tree level scattering amplitudes involving three, four or five gravitons are worked out in Unimodular Gravity. They are found to coincide with the corresponding amplitudes in General Relativity. This a…

High Energy Physics - Theory · Physics 2018-02-15 Enrique Alvarez , Sergio Gonzalez-Martin , Carmelo P. Martin

We review recent progress in D-dimensional integrand reduction algorithms for two loop amplitudes and give examples of their application to non-planar maximal cuts of the five-point all-plus helicity amplitude in QCD.

High Energy Physics - Phenomenology · Physics 2014-07-14 Simon Badger , Hjalte Frellesvig , Yang Zhang

We develop a tree method for multidimensional q-Hahn polynomials. We define them as eigenfunctions of a multidimensional q-difference operator and we use the factorization of this operator as a key tool. Then we define multidimensional…

Classical Analysis and ODEs · Mathematics 2013-04-12 Fabio Scarabotti

Recent progress in our understanding of infrared singularities of multi-parton amplitudes has shown that the simplest form of Regge factorization for high-energy gauge-theory amplitudes fails starting at next-to-next-to-leading logarithmic…

High Energy Physics - Phenomenology · Physics 2015-06-17 Vittorio Del Duca , Giulio Falcioni , Lorenzo Magnea , Leonardo Vernazza

We compare QCD predictions with experimental data on inclusive multiparticle observables whereby we discuss various realizations of the idea of parton hadron duality which is related to a soft confinement mechanism. Special emphasis is…

High Energy Physics - Phenomenology · Physics 2009-09-25 WOLFGANG OCHS

The numerical unitarity approach has been important for obtaining reliable QCD predictions for the LHC. Here I discuss the extension of the approach beyond the leading quantum corrections for computing multi-loop amplitudes. The numerical…

High Energy Physics - Phenomenology · Physics 2017-03-27 Harald Ita
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