We report a first principle lattice calculation of the pion electric polarizability απ at the physical pion mass. First, we derive the master formula, which relates the pion polarizabilities with the position space hadronic Compton tensor, ⟨π∣Jμ(x)Jν(0)∣π⟩. The finite volume error of the master formula is exponentially suppressed by the spatial extent of the lattice. Then, the hadronic tensor is calculated using domain wall fermions (DWF) directly at physical pion mass. The gauge ensembles are generated by the RBC-UKQCD collaborations.
@article{arxiv.2201.01396,
title = {Pion electric polarizabilities from lattice QCD},
author = {Xu Feng and Taku Izubuchi and Luchang Jin and Maarten Golterman},
journal= {arXiv preprint arXiv:2201.01396},
year = {2022}
}
Comments
9 pages, 5 figures. Talk presented at the 38th International Symposium on Lattice Field Theory (Lattice 2021), 26-30 July, 2021, Zoom/Gather@Massachusetts Institute of Technology