Light gauge boson interpretation for (g − 2) μ and the K L → π 0 + (invisible) anomaly at the J-PARC KOTO experiment

Abstract

Abstract We discuss a list of possible light gauge boson interpretations for the long- standing experimental anomaly in (g − 2) μ and also recent anomalous excess in K L → π 0 + (invisible) events at the J-PARC KOTO experiment. We consider two models: i) L μ − L τ gauge boson with heavy vector-like quarks and ii) (L μ − L τ ) + є(B 3 − L τ ) gauge boson in the presence of right-handed neutrinos. When the light gauge boson has mass close to the neutral pion in order to satisfy the Grossman-Nir bound, the models successfully explain the anomalies simultaneously while satisfying all known experimental constraints. We extensively provide the future prospect of suggested models.

Keywords

• Anomalies in Field and String Theories
• Beyond Standard Model
• Gauge Symmetry
• Kaon Physics