MassToMI - a Mathematica package for an automatic Mass Insertion expansion

Abstract

We present a Mathematica package designed to automatize the expansion of QFT transition amplitudes calculated in the mass eigenstates basis (i.e. expressed in terms of physical masses and mixing matrices) into series of "mass insertions", defined as off-diagonal entries of mass matrices in Lagrangian before diagonalization and identification of the physical states. The algorithm implemented in this package is based on the general "Flavor Expansion Theorem" proven in Ref.~\cite{FET}. The supplied routines are able to automatically analyze the structure of the amplitude, identify the parts which could be expanded and expand them to any required order. They are capable of dealing with amplitudes depending on both scalar or vector (Hermitian) and Dirac or Majorana fermion (complex) mass matrices. The package can be downloaded from the address www.fuw.edu.pl/masstomi.

27 pages, version accepted for publication in Computer Physics Communications (additional examples added). The Mathematica code including the package and examples of its use can be downloaded from http://www.fuw.edu.pl/masstomi

References in corpus (4)

• Search for lepton-flavour-violating decays of the Higgs boson
• Search for lepton-flavour-violating $H\to \mu \tau$ decays of the Higgs boson with the ATLAS detector
• Rare Top-quark Decays to Higgs boson in MSSM
• SUSY FLAVOR v2.5: a computational tool for FCNC and CP-violating processes in the MSSM

Cited by in corpus (10)

• Analysis of the $h,H,A\to \tau \mu$ decays induced from SUSY loops within the Mass Insertion Approximation
• Effective lepton flavor violating $\mathbf{H}{\mathbf{\ell }}_{\mathbf{i}}{\mathbf{\ell }}_{\mathbf{j}}$ vertex from right-handed neutrinos within the mass insertion approximation
• Complete Lagrangian and Set of Feynman Rules for Scalar Leptoquarks
• One-loop effective LFV $Z{l}_k{l}_m$ vertex from heavy neutrinos within the Mass Insertion Approximation
• Flavor techniques for LFV processes: Higgs decays in a general seesaw model
• Lepton flavour violation in the MSSM: exact diagonalization vs mass expansion
• Distinguishing between MSSM and NMSSM through $\Delta F=2$ processes
• The decays $h^0\to b\bar{b}$ and $h^0\to c\bar{c}$ in the light of the MSSM with quark flavour violation
• Aspects of the Flavour Expansion Theorem
• $B_{s(d)}-{\bar{B}}_{s(d)}$ Mixing and $B_s\to {\mu }^{+}{\mu }^{-}$ Decay in the NMSSM with the Flavour Expansion Theorem