The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Johan Bijnens in front of his whiteboard

Johan Bijnens

Professor, Deputy Head of Division

Johan Bijnens in front of his whiteboard

NNLO Positivity Bounds on χPT 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 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 amplitude. In addition, we present a powerful and general mathematical framework for efficiently managing large numbers of positivity bounds.

Department/s

  • Particle and nuclear physics

Publishing year

2024-03

Language

English

Publication/Series

Proceedings of Science

Volume

413

Document type

Conference paper

Topic

  • Subatomic Physics

Conference name

10th International Workshop on Chiral Dynamics, CD 2021

Conference date

2021-11-15 - 2021-11-19

Conference place

Virtual, Online

Status

Published