Three-loop on-shell Feynman integrals with two masses
From MaRDI portal
Publication:992482
DOI10.1016/j.nuclphysb.2009.04.015zbMath1194.81252arXiv0903.4760OpenAlexW2013033662MaRDI QIDQ992482
Publication date: 13 September 2010
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.4760
Related Items (13)
Three-loop effective potential of general scalar theory via differential equations ⋮ Three-loop vacuum integrals with arbitrary masses ⋮ The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\) ⋮ NNLO vertex corrections to non-leptonic B decays: tree amplitudes ⋮ Matching QCD and HQET heavy-light currents at three loops ⋮ Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case ⋮ GKZ hypergeometric systems of the three-loop vacuum Feynman integrals ⋮ Moments of heavy quark correlators with two masses: Exact mass dependence to three loops ⋮ The NNLO gluon fusion Higgs production cross-section with many heavy quarks ⋮ Simultaneous decoupling of bottom and charm quarks ⋮ Gluon-fusion Higgs production at NNLO for a non-standard Higgs sector ⋮ On the \(b\)-quark running mass in QCD and the SM ⋮ Holonomic Anti-Differentiation and Feynman Amplitudes
Uses Software
Cites Work
- Feynman integral evaluation by a sector decomposition approach (FIESTA)
- Applied asymptotic expansions in momenta and masses
- Automatized analytic continuation of Mellin-Barnes integrals
- Calculation of massless Feynman integrals using harmonic sums
- Hypexp 2, expanding hypergeometric functions about half-integer parameters
- Numerical evaluation of phase space integrals by sector decomposition
- Calculation of general \(p\)-adic Feynman amplitude
- The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass
- Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
- HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
- HARMONIC POLYLOGARITHMS
- Non-planar massless two-loop Feynman diagrams with four on-shell legs
This page was built for publication: Three-loop on-shell Feynman integrals with two masses