14–16 Jun 2023
AlbaNova Main Building
Europe/Stockholm timezone

Three-pion scattering: From the chiral Lagrangian to the lattice

15 Jun 2023, 16:30
15m
Oskar Klein Auditorium FR4 (AlbaNova Main Building)

Oskar Klein Auditorium FR4

AlbaNova Main Building

Roslagstullsbacken 21, 114 21 Stockholm
Speaker in ELPA session Sektionen för elementarpartikel och astropartikelfysik Sektionen för elementarpartikel och astropartikelfysik

Speaker

Mattias Sjö (Lund University)

Description

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, which complements the lattice results. In particular, it provides a valuable handle on finite-volume effects and the pion mass dependence. 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.

Primary author

Mattias Sjö (Lund University)

Co-authors

Dr Fernando Romero-López (MIT) Johan Bijnens (Lund University) Jorge Baeza-Ballesteros (U. de Valencia) Prof. Stephen R. Sharpe (U. of Washington) Dr Tomáš Husek (Lund U./Charles U.)

Presentation materials