Pi-Pi Scattering with Nf=2+1+1 Twisted Mass Fermions
Christopher Helmes, Christian Jost, Bastian Knippschild, Liuming Liu,, Carsten Urbach, Markus Werner

TL;DR
This paper investigates pion-pion scattering with Nf=2+1+1 dynamical quarks using Wilson twisted mass fermions, applying L"uscher's method and stochastic LapH to compute scattering lengths across various pion masses and lattice spacings.
Contribution
First application of Nf=2+1+1 dynamical quark simulations to pion-pion scattering using Wilson twisted mass fermions and L"uscher's finite size method.
Findings
Computed scattering lengths at multiple pion masses.
Demonstrated feasibility of using stochastic LapH in this context.
Provided new data for Nf=2+1+1 flavor simulations.
Abstract
Pi-Pi scattering is investigated for the first time for Nf=2+1+1 dynamical quark flavours using Wilson twisted mass fermions. L\"uscher's finite size method is used to relate energy shifts in finite volume to scattering quantities like the scattering length in the I=2 channel. The computation is performed at several pion masses and lattice spacings utilising the stochastic LapH method.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · High-Energy Particle Collisions Research
