LSZ-reduction, resonances and non-diagonal propagators: fermions and scalars
arXiv:1710.07165 · doi:10.1016/j.nuclphysb.2018.10.020
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.
37 pages, 1 figure
References in corpus (5)
- Effective potential at three loops
- Breit-Wigner approximation for propagators of mixed unstable states
- Propagator mixing renormalization for Majorana fermions
- Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff
- LSZ-reduction, resonances and non-diagonal propagators: gauge fields