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In this letter, we exploit generalised unitarity in order to calculate the cut-constructible part of one-loop amplitudes in non-supersymmetric Yang-Mills theory. In particular, we rederive the n-gluon MHV amplitudes for both the adjacent…

高能物理 - 唯象学 · 物理学 2010-02-03 Andreas Brandhuber , Massimiliano Vincon

We recompute the functions describing the collinear factorization of one-loop amplitudes using the unitarity-based method. We present the results in a form suitable for use as an ingredient in two-loop calculations. We also present a…

高能物理 - 唯象学 · 物理学 2008-11-26 David A. Kosower , Peter Uwer

We present the one-loop QCD corrections to the helicity amplitudes for the processes $q\qb \to W^+ W^-, Z Z, W^\pm Z, W^\pm \gamma$, or $Z \gamma$, including the subsequent decay of each massive vector boson into a pair of leptons. We also…

高能物理 - 唯象学 · 物理学 2010-11-15 L. Dixon , Z. Kunszt , A. Signer

High-energy factorization of 2 -> 2 amplitudes in QCD has been recently pushed to the next-to-next-to-leading logarithmic order by determining the three-loop gluon Regge trajectory. This was based on computing multi-Reggeon exchanges using…

高能物理 - 唯象学 · 物理学 2024-12-31 Samuel Abreu , Giuseppe De Laurentis , Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza

Scattering amplitudes in the high-energy limit can be described in terms of their singularity structure in the complex angular momentum plane, consisting of Regge poles and cuts. In QCD, gluon Reggeization has long been understood as a…

高能物理 - 唯象学 · 物理学 2024-12-31 Samuel Abreu , Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza

We briefly describe a new general algorithm for carrying out QCD calculations to next-to-leading order in perturbation theory. The algorithm can be used for computing arbitrary jet cross sections in arbitrary processes and can be…

高能物理 - 唯象学 · 物理学 2015-06-25 Stefano Catani , Michael H. Seymour

We present the master integrals relevant for computing the complete set of leading-colour analytic helicity amplitudes for top-quark pair production via gluon fusion at two-loops in QCD. We include corrections due to massive fermion loops…

高能物理 - 唯象学 · 物理学 2021-11-01 Ekta Chaubey

A precise understanding of LHC phenomenology requires the inclusion of one-loop corrections for multi-particle final states. In this talk we describe a semi-numerical method to compute one-loop amplitudes with many external particles and…

高能物理 - 唯象学 · 物理学 2009-11-11 T. Binoth , M. Ciccolini , G. Heinrich

Techniques based upon the string organisation of amplitudes may be used to simplify field theory calculations. We apply these techniques to perturbative gravity and calculate all one-loop amplitudes for four-graviton scattering with…

高能物理 - 理论 · 物理学 2009-10-28 David C. Dunbar , Paul S. Norridge

We apply the solution to the recursion relation for the double-off-shell quark current to the problem of computing one loop amplitudes with an arbitrary number of gluons. We are able to compute amplitudes for photon-gluon scattering,…

高能物理 - 唯象学 · 物理学 2009-10-22 Gregory Mahlon

We review some of the recent advances in the computation of one-loop scattering amplitudes which led to the construction of efficient and automated computational tools for NLO predictions. Particular attention is devoted to unitarity-based…

高能物理 - 唯象学 · 物理学 2015-06-17 Giovanni Ossola

We discuss recent progress towards extending the Helac framework to the calculation of two-loop amplitudes. A general algorithm for the automated computation of two-loop integrands is described. The algorithm covers all the steps of the…

高能物理 - 唯象学 · 物理学 2024-01-19 Giuseppe Bevilacqua , Dhimiter Canko , Costas Papadopoulos

The trace amplitude method (TAM) provides us a straightforward way to calculate the helicity amplitudes with massive fermions analytically. In this work, we review the basic idea of this method, and then discuss how it can be applied to…

高能物理 - 唯象学 · 物理学 2021-01-05 Zi-Qiang Chen , Cong-Feng Qiao

Using the helicity formalism in the high-energy limit, we compute the amplitudes which generate the real next-to-leading-logarithmic corrections to the BFKL equation. Accordingly, we provide a list of all the off-shell vertices necessary to…

高能物理 - 唯象学 · 物理学 2007-05-23 Vittorio Del Duca

We present an alternative reduction to master integrals for one-loop amplitudes using a unitarity cut method in arbitrary dimensions. We carry out the reduction in two steps. The first step is a pure four-dimensional cut-integration of tree…

高能物理 - 唯象学 · 物理学 2010-10-27 Charalampos Anastasiou , Ruth Britto , Bo Feng , Zoltan Kunszt , Pierpaolo Mastrolia

We present the first results from BlackHat, an automated C++ program for calculating one-loop amplitudes. The program implements the unitarity method and on-shell recursion to construct amplitudes. As input to the calculation, it uses…

高能物理 - 唯象学 · 物理学 2008-11-26 C. F. Berger , Z. Bern , L. J. Dixon , F. Febres Cordero , D. Forde , H. Ita , D. A. Kosower , D. Maitre

The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional…

高能物理 - 唯象学 · 物理学 2015-06-23 Claude Duhr , Thomas Gehrmann , Matthieu Jaquier

The search for signals of new physics at the forthcoming LHC experiments involves the analysis of final states characterised by a high number of hadronic jets or identified particles. Precise theoretical predictions for these processes…

高能物理 - 唯象学 · 物理学 2009-04-16 Stefan Weinzierl

Light cone perturbation theory has become an essential tool to calculate cross sections for various small-$x$ dilute-dense processes such as deep inelastic scattering and forward proton-proton and proton-nucleus collisions. Here we set out…

高能物理 - 唯象学 · 物理学 2017-04-05 Tuomas Lappi , Risto Paatelainen

The novel massive spinor-helicity formalism of Arkani-Hamed, Huang and Huang provides an elegant way to calculate scattering amplitudes in quantum chromodynamics for arbitrary quark spin projections. In this note we compute two families of…

高能物理 - 唯象学 · 物理学 2018-12-18 Alexander Ochirov
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