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31 July 2023 to 4 August 2023
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The three-pion K-matrix at NLO in chiral perturbation theory

3 Aug 2023, 14:30
20m
Curia II (WH2SW)

Curia II

WH2SW

Speaker

Mattias Sjö (Lund University)

Description

The K-matrix parametrizes short-range interactions in the relativistic-field-theory finite-volume formalism. It is related to the infinite-volume scattering amplitude, thus providing a bridge between the lattice and perturbation theory, as well as a handle on finite-volume effects and the pion mass dependence. However, leading-order perturbative calculations agree very poorly with the results for systems of three interacting light mesons. I describe the calculation of the three-pion K-matrix from chiral perturbation theory at next-to-leading order, and demonstrate how this resolves most of the disagreement between perturbation theory and the lattice. Thereby, the two main tools for studying these interesting and experimentally inaccessible systems are reconciled.

Topical area Hadronic and Nuclear Spectrum and Interactions

Primary author

Mattias Sjö (Lund University)

Co-authors

Dr Fernando Romero-López (MIT) Prof. Johan Bijnens (Lund University) Jorge Baeza-Ballesteros (University of Valencia) Steve Sharpe (University of Washington) Dr Tomáš Husek (Lund University, Charles University)

Presentation materials