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Related papers: One-loop results for three-gluon vertex in arbitra…

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We present a new procedure using on-shell recursion to determine coefficients of integral functions appearing in one-loop scattering amplitudes of gauge theories, including QCD. With this procedure, coefficients of integrals, including…

High Energy Physics - Phenomenology · Physics 2009-11-11 Zvi Bern , N. E. J. Bjerrum-Bohr , David C. Dunbar , Harald Ita

We show results for the quark-gluon vertex in the Landau gauge, using a mean-field improved Sheikholeslami-Wohlert fermion action. We compute all the three non-zero form factors of the vertex at zero gluon momentum, and compare them to the…

High Energy Physics - Lattice · Physics 2017-08-23 Jonivar Skullerud , Patrick Bowman , Ayse Kizilersu

We compute the part of the two-loop virtual amplitude for the process $gg \to V_1 V_2 \to (l_1 \bar l'_{1}) (l_2 \bar l'_2)$, where $V_{1,2}$ are arbitrary electroweak gauge bosons, that receives contributions from loops of massless quarks.…

High Energy Physics - Phenomenology · Physics 2015-04-02 Fabrizio Caola , Johannes M. Henn , Kirill Melnikov , Alexander V. Smirnov , Vladimir A. Smirnov

It is shown how tree-level multi-gluon helicity amplitudes with an arbitrary number of off-shell external gluons can be calculated via BCFW recursion. Compact expressions for helicity amplitudes for scattering processes of three and four…

High Energy Physics - Phenomenology · Physics 2015-06-19 A. van Hameren

We evaluate the analytic expression for the one-loop fermion-boson vertex in massless QED3 in an arbitrary covariant gauge. The result is written in terms of elementary functions of its momenta. The vertex is decomposed into a longitudinal…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bashir , A. Kizilersu , M. R. Pennington

In a previous work, we showed that the two- and three-loop contributions to the partition function of three-dimensional gravity in flat space vanish. This is in agreement with the expected one-loop exactness dictated by the underlying…

High Energy Physics - Theory · Physics 2025-12-16 Andres Goya , Mauricio Leston , Mario Passaglia

The one-loop effective action for Einstein gravity in a special one-parameter background gauge is calculated up to first order in a gauge parameter. It is shown that the effective action does not depend upon the gauge parameter on shell.

High Energy Physics - Theory · Physics 2010-11-01 P. M. Lavrov , A. A. Reshetnyak

We give a construction of off-shell tree bosonic string amplitudes, based on the operatorial formalism of the $N$-string Vertex, with three external massless states both for open and closed strings by requiring their being projective…

High Energy Physics - Theory · Physics 2009-10-31 A. Liccardo , F. Pezzella , R. Marotta

We review a reduction formula by Petersson that reduces the calculation of a one-loop amplitude with N external lines in n<N space-time dimensions to the case n=N and give it a geometric interpretation. In the case n=N the calculation of…

High Energy Physics - Theory · Physics 2010-10-27 Oliver Schnetz

In this paper, we present general one-loop form factors for $H\rightarrow \gamma^* \gamma^*$ in $R_{\xi}$ gauge, considering all cases of two on-shell, one on-shell and two off-shell for final photons. The calculations are performed in…

High Energy Physics - Phenomenology · Physics 2021-03-19 Khiem Hong Phan , Dzung Tri Tran

We demonstrate the feasibility of computing alpha_s from the lattice three-gluon vertex in the Landau gauge. Data from 16^4 and 24^4 quenched lattices at beta=6.0 are presented. Our main result is that 2-loop asymptotic scaling is observed…

High Energy Physics - Lattice · Physics 2009-10-30 B. Alles , H. Panagopoulos , C. Parrinello , C. Pittori , D. G. Richards

We study angular momentum of the electron stored in its electric and magnetic fields. We use for this purpose quantum electrodynamics in the covariant gauge. We show that a finite one-loop result for such angular momentum can be obtained…

High Energy Physics - Phenomenology · Physics 2019-11-21 Bogdan Damski

This paper provides details of the massless three-loop three-point integrals calculation at the symmetric point. Our work aimed to extend known two-loop results for such integrals to the three-loop level. Obtained results can find their…

High Energy Physics - Phenomenology · Physics 2021-06-17 Andrey Pikelner

We compute the triple pomeron vertex from the Wilson line formalism, including both planar and non-planar contributions, and get perfect agreement with the result obtained in the Extended Generalized Logarithmic Approximation based on…

High Energy Physics - Phenomenology · Physics 2011-02-28 G. A. Chirilli , L. Szymanowski , S. Wallon

I discuss the state-of-the-art knowledge of long-distance singularities in multi-leg gauge-theory scattering amplitudes and report on an on-going calculation of the three-loop soft anomalous dimension through the renormalization of…

High Energy Physics - Phenomenology · Physics 2014-07-22 Einan Gardi

We review techniques simplifying the analytic calculation of one-loop QCD amplitudes with many external legs, for use in next-to-leading-order corrections to multi-jet processes. Particularly useful are the constraints imposed by…

High Energy Physics - Phenomenology · Physics 2016-09-01 Z. Bern , G. Chalmers , L. Dixon , D. C. Dunbar , D. A. Kosower

Resummation of the soft gluon radiative corrections for the quark-vector boson vertex is performed within the path-integral (world-line) approach. The leading order expression for the vacuum averaged Wilson integral for an arbitrary gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor O. Cherednikov

We present the publicly available program NGluon allowing the numerical evaluation of primitive amplitudes at one-loop order in massless QCD. The program allows the computation of one-loop amplitudes for an arbitrary number of gluons. The…

High Energy Physics - Phenomenology · Physics 2012-08-02 Simon Badger , Benedikt Biedermann , Peter Uwer

I present analytical expressions for the cusp anomalous dimension in QCD through three loops in terms of elementary functions and ordinary polylogarithms. I observe interesting relations between the results at different loops and provide a…

High Energy Physics - Phenomenology · Physics 2016-05-25 Nikolaos Kidonakis

We present a novel nonperturbative approach for calculating the form factors of the quark-gluon vertex, in a general covariant gauge. The key ingredient of this method is the exact all-order relation connecting the conventional quark-gluon…

High Energy Physics - Phenomenology · Physics 2015-04-08 A. C. Aguilar , D. Binosi , D. Ibañez , J. Papavassiliou
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