2021/11/30 by Norman H. Christ, Christ, Norman, Xu Feng +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2112.00153
openalex publication_date 2021/11/30 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
The relationship between finite volume multi-hadron energy levels and matrix elements and two particle scattering phase shifts and decays is well known, but the inclusion of long range interactions such as QED is non-trivial. Inclusion of QED is an important systematic error correction to K→ππ decays. In this talk, we present a method of including a truncated, finite-range Coulomb interaction in a finite-volume lattice QCD calculation. We show how the omission caused by the truncation can be restored by an infinite-volume analytic calculation so that the final result contains no power-law finite-volume errors beyond those usually present in Luscher's finite-volume phase shift determination. This approach allows us to calculate the QED corrected infinite-volume phase shift for ππ scattering in Coulomb gauge, a necessary ingredient to K→ππ, while neglecting the transverse radiation for now.