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arXiv · 2308.00030

Electroweak mass difference of mesons

Antonio Pich·Arthur Platschorre·Mario Reig
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Abstract

We consider electroweak (EW) gauge boson corrections to the masses of pseudoscalar mesons to next to leading order (NLO) in $\alpha_s$ and $1/N_C$. The pion mass shift induced by the $Z$-boson is shown to be $m_{\pi^\pm}-m_{\pi^0} = -0.00201(12)$ MeV. While being small compared to the electromagnetic mass shift, the prediction lies about a factor of $\sim 4$ 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.

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Antonio Pich, Arthur Platschorre, Mario Reig. 2023-07-31. Electroweak mass difference of mesons. https://arxiv.org/abs/2308.00030

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