English

LSZ-reduction, resonances and non-diagonal propagators: fermions and scalars

High Energy Physics - Phenomenology 2018-11-14 v2

Abstract

We analyze in details the effects associated with mixing of fermionic fields. In a system with an arbitrary number of Majorana or Dirac particles, a simple proof of factorizability of residues of non-diagonal propagators at the complex poles is given, together with a prescription for finding the "square-rooted" residues to all orders of perturbation theory, in an arbitrary renormalization scheme. Corresponding prescription for the scalar case is provided as well.

Keywords

Cite

@article{arxiv.1710.07165,
  title  = {LSZ-reduction, resonances and non-diagonal propagators: fermions and scalars},
  author = {Adrian Lewandowski},
  journal= {arXiv preprint arXiv:1710.07165},
  year   = {2018}
}

Comments

37 pages, 1 figure