English

The MHV Lagrangian for a spontaneously broken gauge theory

High Energy Physics - Phenomenology 2014-11-21 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1007.2742,
  title  = {The MHV Lagrangian for a spontaneously broken gauge theory},
  author = {Sebastian Buchta and Stefan Weinzierl},
  journal= {arXiv preprint arXiv:1007.2742},
  year   = {2014}
}

Comments

29 pages