Three-loop effective potential of general scalar theory via differential equations
DOI10.1016/J.NUCLPHYSB.2018.10.017zbMath1402.81189arXiv1810.07476OpenAlexW2896249051WikidataQ129001839 ScholiaQ129001839MaRDI QIDQ1626473
Bernd A. Kniehl, Andrey F. Pikelner, Oleg L. Veretin
Publication date: 27 November 2018
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.07476
Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Computational methods for problems pertaining to quantum theory (81-08) Software, source code, etc. for problems pertaining to quantum theory (81-04) Polylogarithms and relations with (K)-theory (11G55)
Uses Software
Cites Work
- Anomalous dimensions of gauge fields and gauge coupling beta-functions in the standard model at three loops
- Evaluating multiple polylogarithm values at sixth roots of unity up to weight six
- Transforming differential equations of multi-loop Feynman integrals into canonical form
- The \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix element
- Three-loop on-shell Feynman integrals with two masses
- Three-loop vacuum integrals with arbitrary masses
- Automated solution of first order factorizable systems of differential equations in one variable
- Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form
- Solving differential equations for Feynman integrals by expansions near singular points
- Yukawa coupling beta-functions in the standard model at three loops
- Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points
- The property of maximal transcendentality: calculation of master integrals
- Reducing differential equations for multiloop master integrals
- Harmonic sums and polylogarithms generated by cyclotomic polynomials
- MATAD: A program package for the computation of MAssive TADpoles
- Higgs self-coupling beta-function in the Standard Model at three loops
- Two-loop electroweak threshold corrections in the Standard Model
- Algorithmic transformation of multi-loop master integrals to a canonical basis with \textit{CANONICA}
This page was built for publication: Three-loop effective potential of general scalar theory via differential equations
