We report a first principle lattice calculation of the pion electric polarizability $\alpha_\pi$ at the physical pion mass.
First, we derive the master formula, which relates the pion polarizabilities with the position space hadronic Compton tensor,
$\langle \pi | J_\mu(x) J_\nu(0) | \pi \rangle$.
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.
Volume 396 -
The 38th International Symposium on Lattice Field Theory (LATTICE2021) -
Oral presentation
Pion electric polarizabilities from lattice QCD
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Pre-published on:
May 16, 2022
Published on:
July 08, 2022
Abstract
DOI: https://doi.org/10.22323/1.396.0362
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.