Revisiting on-shell renormalization conditions in theories with flavor mixing

Jun 20, 2016
24 pages
Published in:
  • Int.J.Mod.Phys.A 31 (2017) 24, 1630038,
  • Int.J.Mod.Phys.A 32 (2017) 13, 1792001 (erratum)
  • Published: Aug 24, 2016
e-Print:
Report number:
  • UWTHPH-2016-11

Citations per year

20172019202120232024210
Abstract: (World Scientific)
In this review, we present a derivation of the on-shell renormalization conditions for scalar and fermionic fields in theories with and without parity conservation. We also discuss the specifics of Majorana fermions. Our approach only assumes a canonical form for the renormalized propagators and exploits the fact that the inverse propagators are nonsingular in 𝜀 = p2 − m n2, where p is the external four-momentum and mn is a pole mass. In this way, we obtain full agreement with commonly used on-shell conditions. We also discuss how they are implemented in renormalization.
Note:
  • 23 pages, no figures, index typos in equations (76), (78a) and (C3) corrected
  • 11.10.Gh
  • On-shell renormalization conditions
  • flavor mixing
  • renormalization
  • renormalization: on-shell
  • parity: conservation law
  • fermion: Majorana
  • fermion: mixing
  • flavor: mixing
  • mass: pole