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Construction of a QCD cascade at the NLO level requires recalculation of the splitting functions in a different manner [1]. We describe the calculation of some of the virtual contributions to the non-singlet splitting function. In order to…

高能物理 - 唯象学 · 物理学 2015-06-17 O. Gituliar , S. Jadach , A. Kusina , M. Skrzypek

Numerical evaluations of Feynman integrals often proceed via a deformation of the integration contour into the complex plane. While valid contours are easy to construct, the numerical precision for a multi-loop integral can depend…

We present an algebraic approach to one-loop tensor integral reduction. The integrals are presented in terms of scalar one- to four-point functions. The reduction is worked out explicitly until five-point functions of rank five. The…

高能物理 - 唯象学 · 物理学 2015-06-03 J. Fleischer , T. Riemann , V. Yundin

Two-loop electroweak corrections to the muon anomalous magnetic moment are automatically calculated by using GRACE-FORM system, as a trial to extend our system for two-loop calculation. We adopt the non-linear gauge (NLG) to check the…

高能物理 - 唯象学 · 物理学 2018-10-31 Tadashi Ishikawa , Nobuya Nakazawa , Yoshiaki Yasui

We compute the full one-loop radiative corrections (including both weak and QED corrections) for two processes $e^{+}e^{-}\to Z h^0,H^0 A^{0}$ in the Inert Higgs Doublet model (IHDM). Up to $O(\alpha_{w})$ and $O(\alpha_{em})$ order, we use…

高能物理 - 唯象学 · 物理学 2021-06-02 Hamza Abouabid , Abdesslam Arhrib , Rachid Benbrik , Jaouad El Falaki , Bin Gong , Wenhai Xie , Qi-Shu Yan

A numerical program is presented which facilitates the computation of the full set of one-gluon loop diagrams (including ghost loop contributions), with M attached external gluon lines in all possible ways. The feasibility of such a task…

高能物理 - 理论 · 物理学 2007-05-23 A. S. Kapoyannis , A. I. Karanikas , C. N. Ktorides

We present the first results for the ${\cal O}(\alpha\alpha_s)$ corrections to the total partonic cross section of the process $q\bar q\to Z+X$, with the complete set of contributions, that include photonic and massive weak gauge boson…

高能物理 - 唯象学 · 物理学 2020-03-04 Roberto Bonciani , Federico Buccioni , Narayan Rana , Ilario Triscari , Alessandro Vicini

Based on the OPP technique and the HELAC framework, HELAC-1LOOP is a program that is capable of numerically evaluating QCD virtual corrections to scattering amplitudes. A detailed presentation of the algorithm is given, along with…

高能物理 - 唯象学 · 物理学 2013-01-14 G. Bevilacqua , M. Czakon , M. V. Garzelli , A. van Hameren , A. Kardos , C. G. Papadopoulos , R. Pittau , M. Worek

The virtual corrections to the production cross section of a Standard Model Higgs boson are computed up to order \alpha_s^4. Using an effective Lagrangian for the limit M_t -> \infty, we evaluate the relevant massless two-loop vertex…

高能物理 - 唯象学 · 物理学 2009-10-31 Robert V. Harlander

In this presentation, we will focus on a recent applications of the GoSam 2.0 automated framework which goes beyond the official scope of this code, originally designed for one-loop fixed order calculations. In particular, we describe a…

高能物理 - 唯象学 · 物理学 2017-11-28 Alessandro Broggio , Andrea Ferroglia , Nicolas Greiner , Giovanni Ossola

xloops is a program package that calculates Feynman diagrams by using computer algebra systems. In this paper it is shown which problems to be solved by computer algebra arise during such calculations, and how this problems are handled in…

高能物理 - 唯象学 · 物理学 2007-05-23 Lars Brucher

Building on the idea of numerically integrating differential equations satisfied by Feynman integrals, we propose a novel strategy for handling branch cuts within a numerical framework. We develop an integrator capable of evaluating a basis…

高能物理 - 唯象学 · 物理学 2025-07-18 Pau Petit Rosàs , William J. Torres Bobadilla

The complete set of Feynman rules for the rational part R of QCD corrections in the MSSM are calculated at the one-loop level, which can be very useful in the next-to-leading order calculations in supersymmetric models. Our results are…

高能物理 - 唯象学 · 物理学 2015-06-05 Hua-Sheng Shao , Yu-Jie Zhang

We present results for the complete one-loop electroweak logarithmic corrections for general processes at high energies and fixed angles. Our results are applicable to arbitrary matrix elements that are not mass-suppressed. We give explicit…

高能物理 - 唯象学 · 物理学 2011-09-13 Ansgar Denner , Stefano Pozzorini

We describe techniques that simplify the calculation of one-loop QCD amplitudes with many external legs, which are needed for next-to-leading-order (NLO) corrections to multi-jet processes. The constraints imposed by perturbative unitarity,…

高能物理 - 唯象学 · 物理学 2010-11-15 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

Recently in arXiv:2012.05599 Rudenko presented a formula for the volume of hyperbolic orthoschemes in terms of alternating polylogarithms. We use this result to provide an explicit analytic result for the one-loop scalar n-gon Feynman…

高能物理 - 理论 · 物理学 2024-04-15 Lecheng Ren , Marcus Spradlin , Cristian Vergu , Anastasia Volovich

In the paper we recalculate and discuss high-precision theoretical predictions for cross sections of the process $e^+e^- \to Z Z$. We assume a complete one-loop implementation and a possibility of estimating the initial state polarizations,…

高能物理 - 唯象学 · 物理学 2024-01-25 S. Bondarenko , Ya. Dydyshka , L. Kalinovskaya , R. Sadykov , V. Yermolchyk

We calculate the one-loop corrections to the soft anomalous dimension matrices for the production of a top-antitop quark pair in association with a jet at hadron colliders. This is a step forward towards implementing a procedure for the…

高能物理 - 唯象学 · 物理学 2022-07-12 Bakar Chargeishvili , Maria Vittoria Garzelli , Sven-Olaf Moch

We evaluate the corrections to the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) to three-loop order containing a closed heavy-fermion loop. The result constitutes a…

高能物理 - 唯象学 · 物理学 2009-07-24 P. Marquard , J. H. Piclum , D. Seidel , M. Steinhauser

We present new versions of the Mathematica package FeynCalc and the FeynHelpers add-on that represent an important contribution to the collection of public codes for semi-automatic evaluation of multiloop Feynman diagrams. FeynHelpers…

高能物理 - 唯象学 · 物理学 2025-12-24 Vladyslav Shtabovenko