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The precision frontier in collider physics is being pushed at impressive speed, from both the experimental and the theoretical side. The aim of this review is to give an overview of recent developments in precision calculations within the…

High Energy Physics - Phenomenology · Physics 2021-06-14 Gudrun Heinrich

We compute the ${\cal O}(\alpha_s^3)$ virtual QCD corrections to the $\gamma^*\to q\bar q g$ matrix element arising from the interference of the two-loop with the tree-level amplitude and from the self-interference of the one-loop…

High Energy Physics - Phenomenology · Physics 2010-04-06 L. W. Garland , T. Gehrmann , E. W. N. Glover , A. Koukoutsakis , E. Remiddi

The paper discusses the two-loop (NNLO) electroweak radiative corrections to the parity violating electron-electron scattering asymmetry induced by squaring one-loop diagrams. The calculations are relevant for the ultra-precise 11 GeV…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. Aleksejevs , S. Barkanova , Y. Kolomensky , E. Kuraev , V. Zykunov

In the paper, we calculate the fragmentation functions for $c \to \eta_c$ and $b \to \eta_b$ up to next-to-leading-order (NLO) QCD accuracy. The ultraviolet divergences in the real corrections are removed through operator renormalization…

High Energy Physics - Phenomenology · Physics 2021-07-07 Xu-Chang Zheng , Xing-Gang Wu , Xu-Dong Huang

We report on the status of a direct computation of the time-like splitting functions at next-to-next-to-leading order in QCD. Time-like splitting functions govern the collinear kinematics of inclusive hadron production and the evolution of…

High Energy Physics - Phenomenology · Physics 2015-10-28 Oleksandr Gituliar , Sven Moch

The cross section for deep inelastic lepton-nucleon scattering with arbitrary polarized scattering fermions is calculated within the electroweak Standard Model and non-minimal gauge models with additional neutral boson. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. V. Shishkina , I. B. Marfin

We use a factorization scheme analogous to one proposed for single inclusive forward hadron production to factorize the soft gluon divergence present in the deep inelastic scattering cross sections in the dipole picture at next-to-leading…

High Energy Physics - Phenomenology · Physics 2018-06-11 B. Ducloué , H. Hänninen , T. Lappi , Y. Zhu

We present the calculation of three-loop massless QCD and QED helicity amplitudes for light-by-light scattering. We make use of Lorentz tensor decomposition in the 't Hooft-Veltman dimensional regularisation scheme to reduce the complexity…

High Energy Physics - Phenomenology · Physics 2026-03-25 Piotr Bargiela , Amlan Chakraborty , Giulio Gambuti , Melih A. Ozcelik

We explore the collinear limit of final-state quark splittings at order $\alpha_s^2$. While at general NLL level, this limit is described simply by a product of leading-order $1\to 2$ DGLAP splitting functions, at the NNLL level we need to…

High Energy Physics - Phenomenology · Physics 2022-02-17 Mrinal Dasgupta , Basem Kamal El-Menoufi

We consider one-loop radiative corrections from Lorentz- and CPT- violating extended QED to address the specific problem of finding explicitly an effective action describing amplitude of photon triple splitting. We show that it is not…

High Energy Physics - Theory · Physics 2015-05-27 F. A. Brito , E. Passos , P. V. Santos

Soft and collinear radiation is responsible for large corrections to many hadronic cross sections, near thresholds for the production of heavy final states. There is much interest in extending our understanding of this radiation to…

High Energy Physics - Phenomenology · Physics 2018-01-12 D. Bonocore , E. Laenen , L. Magnea , L. Vernazza , C. D. White

Splitting amplitudes govern the behavior of scattering amplitudes at the momenta of external legs become collinear. In this talk we outline the calculation of two-loop splitting amplitudes via the unitarity sewing method. This method…

High Energy Physics - Phenomenology · Physics 2010-11-15 Z. Bern , L. J. Dixon , D. A. Kosower

A consistent factorization theorem is presented in the framework of effective field theories. Conventional factorization suffers from infrared divergences in the soft and collinear parts. We present a factorization theorem in which the…

High Energy Physics - Phenomenology · Physics 2013-03-27 Junegone Chay , Chul Kim

We have calculated the splitting functions governing the evolution of the unpolarized parton distributions of the photon at the next-to-next-to-leading order (NNLO) of massless perturbative QCD. The results, presented here mainly in terms…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Vogt , S. Moch , J. Vermaseren

Recently, an all-order conjecture for the anomalous-dimension matrix of n-jet operators in SCET was proposed, which allows one to predict the structure of the infrared divergences of dimensionally regularized, massless gauge-theory…

High Energy Physics - Phenomenology · Physics 2011-12-16 Leonardo Vernazza

We study the threshold corrections for inclusive deep-inelastic scattering (DIS) and their all-order resummation. Using recent results for the QCD form factor, related anomalous dimensions and Mellin moments of DIS structure functions at…

High Energy Physics - Phenomenology · Physics 2020-03-31 Goutam Das , Sven-Olaf Moch , Andreas Vogt

A paramount goal in the field of nuclear physics is to unify ab-initio treatments of bound and unbound states. The position-space quantum Monte Carlo (QMC) methods have a long history of successful bound state calculations in light systems…

Nuclear Theory · Physics 2023-08-29 Abraham R. Flores , Kenneth M. Nollett

We present a systematic calculation of the charged current semi-inclusive deeply inelastic scattering process at leading order twist-3 level in the parton model. We consider the general form of the negatively charged beam scattering off the…

High Energy Physics - Phenomenology · Physics 2021-01-27 Weihua Yang

We calculate and analize the ${\cal{O}}(\alpha_s)$ one-particle inclusive cross section in polarized deep inelastic lepton-hadron scattering, using dimensional regularization and the HVBM prescription for $\gamma_5$. We discuss the…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. de Florian , C. A. Garcia Canal , R. Sassot

We complete the computation of the two-loop helicity amplitudes for the production of three photons at hadron colliders, including all contributions beyond the leading-color approximation. We reconstruct the analytic form of the amplitudes…

High Energy Physics - Phenomenology · Physics 2023-10-16 Samuel Abreu , Giuseppe De Laurentis , Harald Ita , Maximillian Klinkert , Ben Page , Vasily Sotnikov