The light sgoldstino phenomenology: explanations for the muon (g − 2) deviation and KOTO anomaly

Abstract

In this work, we study the long-standing experimental anomaly in muon (g −2) and also recent anomalous excess in $$ {K}_L\to {\pi}^0+v\overline{v} $$ K L → π 0 + v v ¯ at the J-PARC KOTO experiment with sgoldstino. After supersymmetry breaking, the interactions between quarks and sgoldstino (s) make the decays K → π + s sizable through loop diagrams, which affects the measurements of decays K → π + invisible. Furthermore, the couplings between photons and sgoldstino contribute to ∆aμ as well as the bino-slepton contribution. With satisfying all known experimental constraints such as from NA62, E949, E137, Orsay, KTEV and CHARM experiments, these two anomalies can be explained simultaneously. The mass of CP-even sgoldstino is close to the neutral pion mass which does not violate the Grossman-Nir bound. The parameter space can be further tested in future NA62, DUNE experiments, as well as experiments in the LHC.

2, 12, 117, 1959, 45171, 1170086, …: a Hilbert series for the QCD chiral Lagrangian

“…Even though higher-order operators are suppressed when the new physics scale is above the electroweak scale, this is a place where the Standard Model contribution is so suppressed that they can play an important role. In addition, there are models with light new particles (e.g., [46][47][48][49][50][51][52][53][54]). In this case, our classification can be straightforwardly expanded to include new light degrees of freedom in the Hilbert series.…”

(g − 2)μ versus K → π + Emiss induced by the (B − L)23 boson

“…We find that indeed this is possible at the expense of moderate fine-tuning, thus making the simultaneous explanation to the (g − 2) µ and KOTO anomalies feasible. Although this connection between them has already been studied by several groups [20][21][22][23][24], our model may provide the most attractive way to realize the connection: starting from the gauge symmetry (B − L) 23 , all the ingredients to explain the two anomalies are built-in. The real challenge to our way is how to eliminate the strong tension with the constraints from the rare B meson decays.…”