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NNLO Positivity Bounds on χPT for a General Number of Flavours

Alvarez, Benjamin ; Bijnens, Johan LU orcid and Sjö, Mattias LU (2024) 10th International Workshop on Chiral Dynamics, CD 2021 413.
Abstract

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.

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author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings of Science
volume
413
article number
197881
conference name
10th International Workshop on Chiral Dynamics, CD 2021
conference location
Virtual, Online
conference dates
2021-11-15 - 2021-11-19
external identifiers
  • scopus:85187782224
language
English
LU publication?
yes
additional info
Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons.
id
363d0535-b28f-4e07-b0cc-d50c88ffbc17
date added to LUP
2024-04-10 11:53:14
date last changed
2024-04-10 11:54:34
@inproceedings{363d0535-b28f-4e07-b0cc-d50c88ffbc17,
  abstract     = {{<p>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.</p>}},
  author       = {{Alvarez, Benjamin and Bijnens, Johan and Sjö, Mattias}},
  booktitle    = {{Proceedings of Science}},
  language     = {{eng}},
  title        = {{NNLO Positivity Bounds on χPT for a General Number of Flavours}},
  volume       = {{413}},
  year         = {{2024}},
}