The MHV Lagrangian for a spontaneously broken gauge theory
Sebastian Buchta, Stefan Weinzierl
TL;DR
The paper derives an MHV Lagrangian for a spontaneously broken SU(2) x U(1) gauge theory, simplifying multi-particle scattering amplitude calculations through new diagrammatic rules.
Contribution
It introduces a canonical transformation to obtain an MHV Lagrangian for a broken gauge theory, extending previous unbroken Yang-Mills results.
Findings
Derived the MHV Lagrangian for a broken gauge theory
Established simple diagrammatic rules for scattering amplitudes
Compared modifications in broken versus unbroken gauge theories
Abstract
Starting from the standard Lagrangian for a SU(2) x U(1) gauge theory plus a Higgs field we derive the corresponding "maximal helicity violating" (MHV) Lagrangian. From this MHV Lagrangian one deduces simple diagrammatic rules for the calculation of multi-particle scattering amplitudes. We arrive at the MHV Lagrangian by a canonical change of the field variables in the light-cone gauge. We comment on the modifications which occur in a spontaneously broken gauge theory as compared to a pure (unbroken) Yang-Mills theory.
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