Coulomb corrections to pi-pi scattering
N.H. Christ, X. Feng, J. Karpie* and T. Nguyen
Pre-published on:
May 16, 2022
Published on:
July 08, 2022
Abstract
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 $K\to\pi\pi$ 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 $\pi\pi$ scattering in Coulomb gauge, a necessary ingredient to $K\to\pi\pi$, while neglecting the transverse radiation for now.
DOI: https://doi.org/10.22323/1.396.0312
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating
very compact bibliographies which can be beneficial to authors and
readers, and in "proceeding" format
which is more detailed and complete.