Electroweak mass difference of mesons
Antonio Pich, Arthur Platschorre, Mario Reig
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We consider electroweak (EW) gauge boson corrections to the masses of pseudoscalar mesons to next to leading order (NLO) in αs and 1/NC. The pion mass shift induced by the Z-boson is shown to be mπ±−mπ0=−0.00201(12) MeV. While being small compared to the electromagnetic mass shift, the prediction lies about a factor of ∼4 above the precision of the current experimental measurement, and a factor O(10) below the precision of current lattice calculations. This motivates future implementations of these EW gauge boson effects on the lattice. Finally, we consider BSM contributions to the pion mass difference.
Authors' comments: 6 pages, 1 figure