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Using a parametrization of the Wilson loop with the minimal-area law, we calculate the polarization operator of a valence gluon, which propagates in the confining background. This enables us to obtain the infrared freezing (i.e. finiteness)…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Antonov , H. -J. Pirner

We calculate the one-loop corrections to a general off-forward deeply-virtual Compton process at leading twist for both parton helicity-dependent and independent cases. We show that the infrared divergences can be factorized entirely into…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiangdong Ji , Jonathan Osborne

We report on automating the Catani-Seymour dipole subtraction which is a general procedure to treat infrared divergences in real emission processes at next-to-leading order in QCD. The automatization rests on three essential steps: the…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hasegawa , S. Moch , P. Uwer

We review the recent progress on the numerical implementation of the Loop-Tree Duality Method (LTDM) for the calculation of scattering amplitudes. A central point is the analysis of the singularities of the integrand. In the framework of…

High Energy Physics - Phenomenology · Physics 2015-09-25 Sebastian Buchta , Grigorios Chachamis , Petros Draggiotis , Ioannis Malamos , German Rodrigo

A method to unitarize the scattering amplitude produced by infinite-range forces is developed and applied to Born terms. In order to apply $S$-matrix techniques, based on unitarity and analyticity, we first derive an $S$-matrix free of…

High Energy Physics - Theory · Physics 2021-12-17 Diego Blas , Jorge Martin Camalich , Jose Antonio Oller

We develop an algorithm of polynomial complexity for evaluating one-loop amplitudes with an arbitrary number of external particles. The algorithm is implemented in the Rocket program. Starting from particle vertices given by Feynman rules,…

High Energy Physics - Phenomenology · Physics 2009-05-05 W. T. Giele , G. Zanderighi

We give the light-cone gauge calculation of the one-loop on-shell scattering amplitudes for gluon-gluon scattering which violate helicity conservation. We regulate infrared divergences by discretizing the p^+ integrations, omitting the…

High Energy Physics - Theory · Physics 2009-11-11 D. Chakrabarti , J. Qiu , C. B. Thorn

We present a method which allows to extract theoretical informations out of a limited set of experimental data and observables, forming up in general an under- constrained system. It has been applied to the field of nucleon structure, in…

High Energy Physics - Phenomenology · Physics 2015-06-23 Marie Boër , Michel Guidal

We present analytic formulas that describe fully-differential production of color-singlet final states in $q\bar q$ and $gg$ annihilation, including all the relevant partonic channels, through NNLO QCD. We work within the nested…

High Energy Physics - Phenomenology · Physics 2019-05-22 Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

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…

High Energy Physics - Phenomenology · Physics 2017-04-05 Tuomas Lappi , Risto Paatelainen

A covariant path integral calculation of the even spin structure contribution to the one-loop N-graviton scattering amplitude in the type-II superstring theory is presented. The apparent divergence of the $N=5$ amplitude is resolved by…

High Energy Physics - Theory · Physics 2015-06-26 J. Lee Montag

We have explicitly shown that the infrared structure of the full gluon propagator in QCD is an infite sum over all severe (i.e., more singular than $1/q^2$) infrared singularities. It reflects the zero momentum modes enhancement effect in…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia

Renormalization is a well-known technique to get rid of ultraviolet (UV) singularities. When relying on Dimensional Regularization (DREG), these become manifest as $\epsilon$-poles, allowing to define counter-terms with useful recursive…

High Energy Physics - Theory · Physics 2024-05-13 Jose Rios-Sanchez , German Sborlini

We study the singularity structure of two-loop QED amplitudes for the production of multiple off-shell photons in massless electron-positron annihilation and develop counterterms that remove their infrared and ultraviolet divergences point…

High Energy Physics - Phenomenology · Physics 2021-04-26 Charalampos Anastasiou , Rayan Haindl , George Sterman , Zhou Yang , Mao Zeng

Spin asymmetries in collisions of spin-polarized hadrons probe polarized parton distributions, which encode the spin structure of the colliding hadrons. To perform precision physics studies with spin asymmetries, higher order QCD…

High Energy Physics - Phenomenology · Physics 2026-02-11 Thomas Gehrmann , Markus Löchner

The spectrum of emitted gluons from the process $\mathrm{gg\rightarrow ggg}$ has been evaluated by relaxing some of the approximations used in earlier works. The formula obtained in the present work has been applied to several physical…

High Energy Physics - Phenomenology · Physics 2013-02-04 Trambak Bhattacharyya , Surasree Mazumder , Jan-e Alam

We consider a typical hard scattering process in a heat bath of photons and electrons at temperature, $T$, in finite temperature QED. We show that, when the hard scattering scale is much larger than the temperature, the infrared pieces of…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Indumathi

Feynman diagrams with two real partons contributing to the next-to-leading-order singlet gluon-quark DGLAP kernel are analysed. The infra-red singularities of unintegrated distributions are examined numerically. The analytical formulae are…

High Energy Physics - Phenomenology · Physics 2011-10-05 M. Slawinska , A. Kusina , S. Jadach , M. Skrzypek

We recently introduced the "Virtual VNA" concept which estimates the $N \times N$ scattering matrix characterizing an arbitrarily complex linear reciprocal system with $N$ monomodal lumped ports by inputting and outputting waves only via…

Applied Physics · Physics 2025-10-07 Philipp del Hougne

In future collider experiments at the TeV scale, large logarithmic corrections originating from massive boson exchange can lead to significant corrections to observable cross sections. Recently double logarithms of the Sudakov-type were…

High Energy Physics - Phenomenology · Physics 2010-03-25 Michael Melles
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