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Related papers: Analytic Computations of Massive One-Loop Amplitud…

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The googly amplitudes in gauge theory are computed by using the off shell MHV vertices with the newly proposed rules of Cachazo, Svrcek and Witten. The result is in agreement with the previously well-known results. In particular we also…

High Energy Physics - Theory · Physics 2009-11-10 Chuan-Jie Zhu

It is by now well established that, by means of the integration by part identities, all the integrals occurring in the evaluation of a Feynman graph of given topology can be expressed in terms of a few independent master integrals. It is…

High Energy Physics - Theory · Physics 2022-03-02 Ettore Remiddi

We review the conventional field theory description of the string motivated technique. This technique is applied to the one-loop five-gluon amplitude. To evaluate the amplitude a general method for computing dimensionally regulated one-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 Z. Bern , L. Dixon , D. A. Kosower

We present the one-loop helicity amplitudes for processes involving a vector boson V (V=W,Z, or gamma^*) and four massless quarks, 0 to V q-bar q Q-bar Q, where V couples to a massless lepton pair. These amplitudes are required for…

High Energy Physics - Phenomenology · Physics 2014-11-17 Z. Bern , L. Dixon , D. A. Kosower , S. Weinzierl

We consider hard electroproduction of mesons at twist-3 level and focus our attention on helicity flip amplitudes corresponding to the production of transversely polarized mesons by transverse photons. We demonstrate that helicity-flip…

High Energy Physics - Phenomenology · Physics 2009-11-07 N. Kivel

In the Catani-Ciafaloni-Hautmann high-energy factorization approach a cross section is expressed as a convolution of unintegrated gluon densities and a gauge-invariant hard process, in which two incoming gluons are off-shell with momenta…

High Energy Physics - Phenomenology · Physics 2013-09-23 Piotr Kotko

We review recent developments for the calculation of Born amplitudes in QCD. This includes the computation of gluon helicity amplitudes from MHV vertices and an approach based on scalar propagators and a set of three- and four-valent…

High Energy Physics - Theory · Physics 2015-06-26 Christian Schwinn , Stefan Weinzierl

We present analytic results for one-loop Higgs boson + $n$-gluon amplitudes for $n\le 5$ in the full theory including all dependence on the (top) quark mass. In this paper we consider only the case where the gluons all have the same…

High Energy Physics - Phenomenology · Physics 2018-11-14 R. Keith Ellis , Satyajit Seth

We present a method for the analysis of singularities of Feynman amplitudes based on the Speer sector decomposition of the Schwinger parametric integrals combined with the Mellin-Barnes transform. The sector decomposition method is…

High Energy Physics - Theory · Physics 2015-05-28 Carlo M. Becchi , Alessandra Repetto

After a brief review on the technique of resumming the large logarithmic terms $\alpha^n_s \ln^m(Q^2/Q^2_T)$ due to the effects of multiple gluon emission predicted by the QCD theory, I discuss its application in the production of $W^\pm$,…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. -P. Yuan

Recent Developments in computing very specific helicity amplitudes in two loop QCD are presented. The techniques focus upon the singular structure of the amplitude rather than on a diagramatic and integration approach

High Energy Physics - Phenomenology · Physics 2017-12-15 David C. Dunbar , John H Godwin , Guy R. Jehu , Warren B. Perkins

One of the methods to calculate tree-level multi-gluon scattering amplitudes is to use the Berends-Giele recursion relation involving off-shell currents or off-shell amplitudes, if working in the light cone gauge. As shown in recent works…

High Energy Physics - Phenomenology · Physics 2016-08-24 Piotr Kotko , Mirko Serino , Anna M. Stasto

We apply on-shell methods to the bottom-up construction of electroweak amplitudes, allowing for both renormalizable and non-renormalizable interactions. We use the little-group covariant massive-spinor formalism, and flesh out some of its…

High Energy Physics - Phenomenology · Physics 2020-04-15 Gauthier Durieux , Teppei Kitahara , Yael Shadmi , Yaniv Weiss

We introduce a helicity-chirality spinor formalism to describe scattering amplitudes for particles of any masses and spins. The massive spin-spinors introduced by Arkani-hamed-Huang-Huang have been extended to the…

High Energy Physics - Phenomenology · Physics 2025-02-10 Yu-Han Ni , Yi-Ning Wang , Chao Wu , Jiang-Hao Yu

We compute amplitudes for the process $g^* g^* \to q \overline q V^*$ (two virtual gluons into a quark, antiquark and a boson) at the tree level using the spinor-helicity formalism. The resulting analytic expressions are much shorter than…

High Energy Physics - Phenomenology · Physics 2024-10-11 Jan Ferdyan , Błażej Ruba

We investigate the production of highly energetic top-quark pairs at hadron colliders, focusing on the case where the invariant mass of the pair is much larger than the mass of the top quark. In particular, we set up a factorization…

High Energy Physics - Phenomenology · Physics 2013-05-30 Andrea Ferroglia , Ben D. Pecjak , Li Lin Yang

We compute the polylogarithmic parts of the two-loop four and five-graviton amplitudes where the external helicities are positive and express these in a simple compact analytic form. We use these to extract the $\ln(\mu^2)$ terms from both…

High Energy Physics - Theory · Physics 2017-03-01 David C. Dunbar , Guy R. Jehu , Warren B. Perkins

We review on-shell methods for computing multi-parton scattering amplitudes in perturbative QCD, utilizing their unitarity and factorization properties. We focus on aspects which are useful for the construction of one-loop amplitudes needed…

High Energy Physics - Phenomenology · Physics 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

We present a computer library for the numerical evaluation of colour-ordered n-gluon amplitudes at one-loop order in pure Yang-Mills theory. The library uses the recently developed technique of generalised unitarity. Running in double…

High Energy Physics - Phenomenology · Physics 2013-03-05 Simon Badger , Benedikt Biedermann , Peter Uwer

Incorporating all recent theoretical advances, we resum soft-gluon corrections to the total $t\bar t$ cross-section at hadron colliders at the next-to-next-to-leading logarithmic (NNLL) order. We perform the resummation in the well…

High Energy Physics - Phenomenology · Physics 2015-06-03 Matteo Cacciari , Michal Czakon , Michelangelo L. Mangano , Alexander Mitov , Paolo Nason
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