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

Adrian Lewandowski (Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, D-14476 Potsdam, Germany)

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.

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Published on:
30 October 2018
Publisher:
Elsevier
Published in:
Nuclear Physics B , Volume 937 C (2018)

Pages 394-421
DOI:
https://doi.org/10.1016/j.nuclphysb.2018.10.020
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: