May 15 – 20, 2017
Shanghai Jiao Tong University
Asia/Shanghai timezone
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General Mass Insertion Expansion in Flavour Physics

May 16, 2017, 2:00 PM
2h
Haoran 102 (Shanghai Jiao Tong University)

Haoran 102

Shanghai Jiao Tong University

Xuhui Campus

Speaker

Janusz Rosiek (University of Warsaw)

Description

Calculating amplitudes for the flavor changing transitions in terms of
the off-diagonal elements of mass matrices (so called "mass
insertions") in the theory defined in "gauge basis" (before mass
matrix diagonalization) is the common technique in analyzing the
flavor structure of the New Physics models. I will present a general
method allowing to expand any QFT amplitude calculated in the
mass-eigenstates (physical) basis into series in mass insertions, to
any required order. The presented method is purely algebraic,
translating an amplitude written in the mass eigenbasis into mass
insertions series without performing diagrammatic calculations in
gauge basis. It can be applied for all types of mass matrices -
either Hermitian (scalar or vector), general complex (Dirac fermions)
or complex symmetric (Majorana fermions). In addition, proposed
expansion has been automatized in the form of publicly available
specialized Mathematica package,"MassToMI", which I briefly describe. The package allows to obtain analytical expressions directly relating flavor observables to
New Physics parameters without tedious and error-prone direct
calculation of Feynman diagrams with mass insertions as additional
vertices.

Summary

I will present an algebraic technique allowing to expand any QFT amplitude calculated in the mass-eigenstates (physical) basis into series in mass insertions, to any required order, without performing diagrammatic calculations with mass insertions. The method works for any type of mass matrices, either for scalar, vector, Dirac or Majorana fermion fields. It has also been automatized in the form of specialized Mathematica package.

Primary author

Janusz Rosiek (University of Warsaw)

Presentation materials