Recursion-free solution for two-loop vacuum integrals with ``collinear masses

DOI10.1007/JHEP12(2022)047OpenAlexW4312059806MaRDI QIDQ2694324

Andrei I. Davydychev, York Schröder

Publication date: 3 April 2023

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.10593

zbMATH Keywords

thermal field theoryrenormalization and regularizationhigher-order perturbative calculationseffective field theories of QCD

Mathematics Subject Classification ID

Quantum theory (81-XX)

Related Items (1)

Integrating by parts at finite density

Uses Software

• Reduze
• FIRE
• EvaluateMultiSums
• LiteRed
• Kira

Cites Work

• Basics of thermal field theory. A tutorial on perturbative computations
• The diamond rule for multi-loop Feynman diagrams
• Master integrals for four-loop massless propagators up to weight twelve
• A practical criterion of irreducibility of multi-loop Feynman integrals
• Space-time dimensionality \(\mathcal D\) as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to \(\mathcal D\)
• Four loop massless propagators: an algebraic evaluation of all master integrals
• Analytic tools for Feynman integrals
• On the evaluation of sunset-type Feynman diagrams
• Decomposition of Feynman integrals by multivariate intersection numbers
• Kira -- a Feynman integral reduction program
• FIRE6: Feynman integral reduction with modular arithmetic
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• Recursive algorithm for evaluating vertex-type Feynman integrals
• Connection between Feynman integrals having different values of the space-time dimension
• Conformal Methods for Massless Feynman Integrals and Large N f Methods

This page was built for publication: Recursion-free solution for two-loop vacuum integrals with ``collinear masses