Subleading logarithmic QED initial state corrections to \(e^+ e^- \to \gamma^\ast / Z^{0^\ast}\) to \(O(\alpha^6 L^5)\)

DOI10.1016/j.nuclphysb.2020.115045zbMath1473.81178arXiv2004.04287OpenAlexW3015305370MaRDI QIDQ2230245

Jakob Ablinger, Johannes Blümlein, K. Schönwald, Abilio De Freitas

Publication date: 17 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04287

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Electromagnetic interaction; quantum electrodynamics (81V10) Inelastic and multichannel quantum scattering (81U35) Operator matrices (47A08)

Related Items (4)

The inverse Mellin transform via analytic continuation ⋮ The \(O(\alpha^2)\) initial state QED corrections to \(e^+ e^- \to \gamma^\ast / Z_0^\ast \) ⋮ The QED initial state corrections to the forward-backward asymmetry of \(e^+ e^- \to \gamma^\ast / Z^{0^\ast}\) to higher orders ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

Uses Software

• TARCER
• HarmonicSums
• Axodraw
• EvaluateMultiSums
• LiteRed

Cites Work

• Unnamed Item
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• TARCER -- a Mathematica program for the reduction of two-loop propagator integrals
• Axodraw.
• Automated solution of first order factorizable systems of differential equations in one variable
• Numerical implementation of harmonic polylogarithms to weight w = 8
• Harmonic sums and polylogarithms generated by cyclotomic polynomials
• Iterated binomial sums and their associated iterated integrals
• HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
• HARMONIC POLYLOGARITHMS
• Analytic computing methods for precision calculations in quantum field theory
• Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
• Simplifying Multiple Sums in Difference Fields
• Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
• Numerical evaluation of harmonic polylogarithms

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