| 1. |
- Baeza-Ballesteros, Jorge, et al.
(författare)
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The isospin-3 three-particle K-matrix at NLO in ChPT
- 2023
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Ingår i: Journal of High Energy Physics. - 1029-8479. ; 2023:5
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Tidskriftsartikel (refereegranskat)abstract
- The three-particle K-matrix, Kdf,3 , is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions at maximal isospin through next-to-leading order (NLO) in Chiral Perturbation Theory (ChPT). We compare the values to existing lattice QCD results and find that the agreement between lattice QCD data and ChPT in the first two coefficients of the threshold expansion of Kdf,3 is significantly improved with respect to leading order once NLO effects are incorporated.
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| 2. |
- Baeza-Ballesteros, Jorge, et al.
(författare)
-
Three-pion scattering : From the chiral Lagrangian to the lattice
- 2023
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Ingår i: Nuclear and Particle Physics Proceedings. - 2405-6014.
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Tidskriftsartikel (refereegranskat)abstract
- In recent years, detailed studies of three-pion systems have become possible in lattice QCD. This has in turn led to interest in 3-to-3 scattering of pions in the chiral perturbation theory framework. In addition to being an interesting study of multi-meson dynamics in its own right, it provides a valuable handle on finite-volume effects and the pion mass dependence, thus complementing the lattice results. I present our derivation of the next-to-leading order amplitude for this process, as well as its conversion into the three-particle K-matrix, which enables direct comparison to the lattice. Our results significantly improve the agreement between theory and lattice, which was poor when only leading-order effects were taken into account.
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