15–19 Nov 2021
Institute of High Energy Physics (IHEP), CAS
Asia/Shanghai timezone

NNLO Positivity Bounds on Chiral Perturbation Theory for a General Number of Flavours

Not scheduled
15m
Institute of High Energy Physics (IHEP), CAS

Institute of High Energy Physics (IHEP), CAS

19B Yuquan Road, Shijingshan District, Beijing, China
Parallel-Goldstone Boson

Speaker

Mattias Sjö (L)

Description

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, 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.

Primary authors

Dr Benjamin Alvarez (Aix Marseille University) Johan Bijnens (L) Mattias Sjö (L)

Presentation materials

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