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We compute the planar part of the two-loop five gluon amplitude with all helicities positive. To perform the calculation we develop a D-dimensional generalized unitarity procedure allowing us to reconstruct the amplitude by cutting into…

High Energy Physics - Phenomenology · Physics 2015-07-21 Simon Badger , Hjalte Frellesvig , Yang Zhang

We calculate a full set of one-loop corrections to the Higgs boson coupling constants as well as the electroweak parameters. We compute the decay rate of the standard model (SM)-like Higgs boson ($h$) into diphoton. Renormalized Higgs…

High Energy Physics - Phenomenology · Physics 2015-06-12 Mayumi Aoki , Shinya Kanemura , Mariko Kikuchi , Kei Yagyu

The method for functional reduction of Feynman integrals, proposed by the author, is used to calculate one-loop integrals corresponding to diagrams with four external lines. The integrals that emerge from amplitudes for the scattering of…

High Energy Physics - Phenomenology · Physics 2023-07-12 O. V. Tarasov

We study the soft and collinear (SV) contributions to inclusive Higgs-boson production in gluon-gluon fusion at four loops. Using recent progress for the quark and gluon form factors and Mellin moments of splitting functions, we are able to…

High Energy Physics - Phenomenology · Physics 2020-06-17 G. Das , S. Moch , A. Vogt

The on-shell regularization of the one-loop divergences of supergravity theories is generalized to include a dilaton of the type occurring in effective field theories derived from superstring theory, and the superfield structure of the…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard

We have computed the even-N moments N =< 20 of the gluon-gluon splitting function P_{gg} at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. Our results, derived analytically for a general…

High Energy Physics - Phenomenology · Physics 2024-10-11 G. Falcioni , F. Herzog , S. Moch , A. Pelloni , A. Vogt

This thesis is mainly devoted to the study of thermodynamics for quantum Chromodynamics. In this thesis I apply hard-thermal-loop perturbation theory, which is a gauge-invariant reorganization of the conventional perturbative expansion for…

High Energy Physics - Phenomenology · Physics 2015-01-30 Najmul Haque

Decay amplitude of $H \to \gamma Z$ process via one $W$ loop in the unitary gauge is presented. The divergent integrals including those of high divergence orders typical of unitary gauge are arranged to cancel to get the electromagnetic…

High Energy Physics - Phenomenology · Physics 2023-06-21 Shi-Yuan Li

Scattering amplitudes for the massless QCD process, $q\bar{q}\to q^\prime\bar{q}^\prime$, are calculated in the one-loop order in the Feynman-Diagram (FD) gauge, where gluons are quantized on the light cone with opposite direction of the…

High Energy Physics - Phenomenology · Physics 2024-07-17 Kaoru Hagiwara , Kentarou Mawatari , Youichi Yamada , Ya-Juan Zheng

Soft-Collinear Effective Theory is a framework for systematically organizing and resumming the logarithmic contributions that occur in high-energy reactions. It provides a factorized description of cross sections in terms of hard, jet,…

High Energy Physics - Phenomenology · Physics 2025-12-30 Saurav Goyal , Sven-Olaf Moch , Vaibhav Pathak , V. Ravindran

A perturbation scheme is discussed for the computation of the normalization constant of the large order behavior arising from an ultraviolet renormalon. In this scheme the normalization constant is expressed in a convergent series that can…

High Energy Physics - Phenomenology · Physics 2009-10-31 Taekoon Lee

We present first results of resumming soft gluon effects in a simulation of high energy collisions beyond the leading-colour approximation. We work to all orders in QCD perturbation theory using a new parton branching algorithm. This…

High Energy Physics - Phenomenology · Physics 2021-03-24 Matthew De Angelis , Jeffrey R. Forshaw , Simon Plätzer

With the aim to extend the study of inclusive heavy quarkonium production at forward rapidities with the resummation of high partonic center-of-momentum-energy logarithms beyond Leading Logarithmic Approximation (LLA), the explicit analytic…

High Energy Physics - Phenomenology · Physics 2024-10-25 Maxim Nefedov

The Hard Thermal Loop expansion, is an attractive theory, but it reveals difficulties when one uses it as a perturbative scheme. To illustrate this we use the HTL expansion to calculate the two loop corrections for soft virtual photons. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Haitham Zaraket

We calculate all leading-twist gluon generalized parton distributions (GPDs) inside the proton at nonzero skewness using the basis light-front quantization framework. The proton's light-front wave functions are derived from a light-front…

High Energy Physics - Phenomenology · Physics 2025-01-20 Pengxiang Zhang , Yiping Liu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

We calculate field theory loop amplitudes by string methods, applied to half-maximal 4-point one-loop graviton amplitudes. Infrared divergences are regulated similarly to soft-collinear effective field theory (SCET): new mass scales are…

High Energy Physics - Theory · Physics 2026-03-31 Marcus Berg , Michael Haack , Yonatan Zimmerman

The transverse broadening of an energetic jet passing through a non-Abelian plasma is believed to be described by the thermal expectation value of a light-cone Wilson loop. In this exploratory study, we measure the light-cone Wilson loop…

High Energy Physics - Phenomenology · Physics 2013-07-12 M. Laine , A. Rothkopf

In this paper we compute the QCD corrections for the triple Higgs boson production cross section via gluon fusion, within the heavy-top approximation. We present, for the first time, analytical results for the next-to-leading order…

High Energy Physics - Phenomenology · Physics 2017-03-08 Daniel de Florian , Javier Mazzitelli

One-loop amplitudes are to a large extent determined by their unitarity cuts in four dimensions. We show that the remaining rational terms can be obtained from the ultraviolet behaviour of the amplitude, and determine universal form factors…

High Energy Physics - Phenomenology · Physics 2010-10-27 T. Binoth , J. Ph. Guillet , G. Heinrich

The Regge limit in perturbative QCD for processes as DIS (low x) and photon or onia-particles scattering is considered. In the first part a phenomenological approach for the inclusion of the running coupling, preserving the gluon…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Vacca