2–8 Nov 2025
TIFR Mumbai
Asia/Kolkata timezone

Two-pion scattering amplitude from Lattice QCD using staggered fermions

4 Nov 2025, 15:30
20m
AG66

AG66

Speaker

Adeilton Dean Marques Valois

Description

Scattering processes featuring the strong interactions can be studied using lattice QCD by means of the Lüscher formalism. This approach relies on analyticity and unitarity of the $S$-matrix to relate infinite-volume scattering amplitudes to finite-volume energy levels. However, lattice QCD simulations employing rooted staggered fermions manifest unitarity violation as an $\mathcal{O}(a^2)$ lattice artifact. Moreover, the meson sector of this theory contains multiple pions as a result of taste-splitting effects. These features restrict the applicability of the Lüscher formalism on observables computed using staggered fermions. Backed by calculations in the corresponding effective theory--Staggered Chiral Perturbation Theory--in this work, we discuss possible approaches to deal with the challenges of extracting scattering amplitudes from lattice QCD with staggered quarks. In particular, we focus on the simpler case of pion-pion scattering in the isospin-2 channel, and discuss prospects for other channels.

Parallel Session (for talks only) Hadronic and nuclear spectrum and interactions

Authors

Adeilton Dean Marques Valois Aida El-Khadra (University of Illinois Urbana-Champaign) Elvira Gamiz (University of Granada) Mingwei Dai (University of Illinois Urbana-Champaign) Mr Ramón Merino (University of Granada) Shaun Lahert

Presentation materials

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