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Pion electric polarizabilities from lattice QCD

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arxiv 2201.01396 v1 pith:EJNYBMWV submitted 2022-01-05 hep-lat

Pion electric polarizabilities from lattice QCD

classification hep-lat
keywords pionlatticeelectricfirstformulahadronicmassmaster
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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