NNLO Positivity Bounds on χPT for a General Number of Flavours
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/363d0535-b28f-4e07-b0cc-d50c88ffbc17
- author
- Alvarez, Benjamin ; Bijnens, Johan LU and Sjö, Mattias LU
- organization
- publishing date
- 2024-03
- 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}}, }