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Photo of Johan Bijnens

Johan Bijnens

Professor

Photo of Johan Bijnens

NNLO positivity bounds on chiral perturbation theory for a general number of flavours

Author

  • Benjamin Alvarez
  • Johan Bijnens
  • Mattias Sjö

Summary, in English

We present positivity bounds, derived from the principles of analyticity, unitarity and crossing symmetry, that constrain the low-energy constants of chiral perturbation theory. Bounds are produced for 2, 3 or more flavours in meson-meson scattering with equal meson masses, up to and including next-to-next-to-leading order (NNLO), using the second and higher derivatives of the amplitude. We enhance the bounds by using the most general isospin combinations posible (or higher-flavour counterparts thereof) and by analytically integrating the low-energy range of the discontinuities. In addition, we present a powerful and general mathematical framework for efficiently managing large numbers of positivity bounds.

Department/s

  • Theoretical Particle Physics

Publishing year

2022-03-24

Language

English

Publication/Series

Journal of High Energy Physics

Volume

2022

Issue

3

Document type

Journal article

Publisher

Springer

Topic

  • Subatomic Physics

Keywords

  • Kiral Störningsräkning
  • Effektiv Fältteori

Status

Published

ISBN/ISSN/Other

  • ISSN: 1029-8479