NNLO positivity bounds on chiral perturbation theory for a general number of flavours
Alvarez, Benjamin ; Bijnens, Johan LU
and Sjö, Mattias
LU
(2022)
In Journal of High Energy Physics
2022(3).
- 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 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3a6956a0-a2e8-41f2-b591-fa32ebfbdcb9
- author
- Alvarez, Benjamin
; Bijnens, Johan
LU
and Sjö, Mattias
LU
- organization
- publishing date
- 2022-03-24
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Kiral Störningsräkning, Effektiv Fältteori
- in
- Journal of High Energy Physics
- volume
- 2022
- issue
- 3
- article number
- 159
- publisher
- Springer
- external identifiers
-
- scopus:85127245655
- ISSN
- 1029-8479
- DOI
- 10.1007/JHEP03(2022)159
- language
- English
- LU publication?
- yes
- id
- 3a6956a0-a2e8-41f2-b591-fa32ebfbdcb9
- alternative location
- https://arxiv.org/abs/2112.04253
- date added to LUP
- 2022-03-28 13:35:09
- date last changed
- 2023-11-06 14:15:09
@article{3a6956a0-a2e8-41f2-b591-fa32ebfbdcb9,
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 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.}},
author = {{Alvarez, Benjamin and Bijnens, Johan and Sjö, Mattias}},
issn = {{1029-8479}},
keywords = {{Kiral Störningsräkning; Effektiv Fältteori}},
language = {{eng}},
month = {{03}},
number = {{3}},
publisher = {{Springer}},
series = {{Journal of High Energy Physics}},
title = {{NNLO positivity bounds on chiral perturbation theory for a general number of flavours}},
url = {{http://dx.doi.org/10.1007/JHEP03(2022)159}},
doi = {{10.1007/JHEP03(2022)159}},
volume = {{2022}},
year = {{2022}},
}