NNLO positivity bounds on chiral perturbation theory for a general number of flavours
(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
- 2024-04-18 06:39:51
@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}}, }