Abstract

We compute ε-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut technique from Baikov and Chetyrkin, which proves extremely effective in that it determines all expansion coefficients to this order in terms of recursively one-loop integrals and only one further integral. We observe that our results are compatible with conjectures that predict π-dependent contributions.

Details

Title
Glue-and-cut at five loops
Author
Georgoudis Alessandro 1   VIAFID ORCID Logo  ; Goncalves Vasco 2 ; Panzer, Erik 3 ; Pereira, Raul 4 ; Smirnov, Alexander V 5 ; Smirnov, Vladimir A 6 

1  Laboratoire de physique de l’Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris Cité, Paris, France (GRID:grid.462608.e) (ISNI:0000 0004 0384 7821); Uppsala University, Department of Physics and Astronomy, Uppsala, Sweden (GRID:grid.8993.b) (ISNI:0000 0004 1936 9457); Universidade Estadual Paulista, ICTP South American Institute for Fundamental Research, Instituto de Física Teórica, Sao Paulo, Brazil (GRID:grid.410543.7) (ISNI:0000 0001 2188 478X) 
2  Centro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Porto, Portugal (GRID:grid.5808.5) (ISNI:0000 0001 1503 7226); Universidade Estadual Paulista, ICTP South American Institute for Fundamental Research, Instituto de Física Teórica, Sao Paulo, Brazil (GRID:grid.410543.7) (ISNI:0000 0001 2188 478X) 
3  University of Oxford, Mathematical Institute, Oxford, U.K. (GRID:grid.4991.5) (ISNI:0000 0004 1936 8948) 
4  Trinity College Dublin, School of Mathematics and Hamilton Mathematics Institute, Dublin, Ireland (GRID:grid.8217.c) (ISNI:0000 0004 1936 9705) 
5  Moscow State University, Research Computing Center, Moscow, Russia (GRID:grid.14476.30) (ISNI:0000 0001 2342 9668); Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia (GRID:grid.14476.30) (ISNI:0000 0001 2342 9668) 
6  Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia (GRID:grid.14476.30) (ISNI:0000 0001 2342 9668); Skobeltsyn Institute of Nuclear Physics of Moscow State University, Moscow, Russia (GRID:grid.14476.30) (ISNI:0000 0001 2342 9668) 
Publication year
2021
Publication date
Sep 2021
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP09(2021)098
ProQuest document ID
2574554321
Copyright
© The Author(s) 2021. This work is published under CC-BY 4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.