Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series IPN-X
Subjects hep-ph
Date Thursday 22 June 2017
Time 11:00
Institute IPN
Seminar Room Salle A201
Speaker's Last Name Ghosh
Speaker's First Name Shayan
Speaker's Email Address
Speaker's Institution Indian institute of Science, Bangalore
Title Analytic solutions to massive two-loop sunset diagrams, and applications to Chiral Perturbation Theory
Abstract In this talk, we begin by showing how it is possible to obtain full analytic results for the two-loop three distinct mass scale sunset diagrams that appear in the expressions for the masses and decay constants of the pion, kaon and eta particles in two-loop SU(3) chiral perturbation theory. We then talk about two applications of these results: a) how it allows one to obtain small quark mass ratios to arbitrarily high powers, and b) how it allows one to make fits to lattice data to extract greater information about low energy constants. We then change track and discuss in more detail the Mellin-Barnes method used in our calculations, and demonstrate how this method can be extended using analytic continuation to obtain results for Feynman diagrams whose mass value parameters are such that it is impossible to use a direct calculation. We show how such methods of analytic continuation can also be helpful in contexts where a direct calculation does yield results, and thus set the stage for more widespread application of this technique.
arXiv Preprint Number

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