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The maxcut of the sunrise with different masses in the continuous Minkoskean dimensional regularisation.

Authors :
Caleca, Filippo
Remiddi, Ettore
Source :
Nuclear Physics B. Dec2024, Vol. 1009, pN.PAG-N.PAG. 1p.
Publication Year :
2024

Abstract

We evaluate the maxcut of the two loops sunrise amplitude with three different masses by direct use of the loop momenta in the Minkoskean (as opposed to the usual Euclidean) continuous dimension regularisation, obtaining in that way six related but different functions expressed in the form of one dimensional finite integrals. We then consider the 4th order homogeneous equation valid for the maxcut, and show that for arbitrary dimension d the six functions do satisfy the equation separately. We further discuss the d = 2 , 3 , 4 cases, verifying that only four of them are linearly independent. The equal mass limit is also shortly considered. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
05503213
Volume :
1009
Database :
Academic Search Index
Journal :
Nuclear Physics B
Publication Type :
Academic Journal
Accession number :
181442252
Full Text :
https://doi.org/10.1016/j.nuclphysb.2024.116733