Electroweak mass difference of mesons

2023/07/31 by Antonio Pich, Pich, Antonio, Arthur Platschorre +3
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Particle physics theoretical and experimental studies #Cosmology and Gravitation Theories

paper · pdf · doi:10.48550/arxiv.2308.00030

Abstract

We consider electroweak (EW) gauge boson corrections to the masses of pseudoscalar mesons to next to leading order (NLO) in α_s and 1/N_C. The pion mass shift induced by the Z-boson is shown to be m_π^±-m_π⁰ = -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.

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