Lepton-flavor-violating semileptonic $\tau$ decay and $K\to \pi \nu \bar{\nu }$

Abstract

We consider lepton-flavor violation in strangeness changing ($|\Delta S|=1$) semileptonic $\tau$-lepton decays arising from new physics encoded in a standard model effective Lagrangian. Its invariance under the standard model gauge group entails the relevance of other processes which can serve as complementary probes of the new physics operators. We show in particular that for some of them the bounds implied by current data on the rare kaon decays involving a neutrino pair, $K\to \pi \nu \bar{\nu }$, are stronger than the existing limits from direct searches for lepton-flavor-violating semileptonic $\tau$ decays. We discuss additional processes affected by the same operators and find that certain leptonic charged-meson decays also provide stricter constraints on a few more of them. Upcoming results of ongoing experiments such as Belle II and NA62 will further test the new physics parameter space.

16 pages, no figure, slightly expanded, references added, matches journal version

References in corpus (10)

• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• Search for $K_L\to {\pi }^0\nu \overline{\nu }$ and $K_L\to {\pi }^0{X}^0$ Decays at the J-PARC KOTO Experiment
• Constraints on two-lepton, two quark operators
• Lepton flavour violating semileptonic tau decays in constrained MSSM-seesaw scenarios
• The model-discriminating power of lepton flavor violating tau decays
• Tau and muon lepton flavor violations in the littlest Higgs model with T-parity
• Improving the Hadron Physics of Non-Standard-Model Decays: Example Bounds on R-parity Violation
• Constraints on new physics from $K\to \pi \nu \bar{\nu }$
• Charged-lepton-flavor violation in $|\Delta S|=1$ hyperon decays
• Lepton-flavour-violating gluonic operators: constraints from the LHC and low energy experiments

Cited by in corpus (6)

• Constraints on scalar leptoquarks from lepton and kaon physics
• $R_{K^{(\ast )}}^{\nu }$ and non-standard neutrino interactions
• Lepton-flavour violation in hadronic tau decays and $\mu -\tau$ conversion in nuclei
• Implication of $K\to \pi \nu \bar{\nu }$ for generic neutrino interactions in effective field theories
• Exploring leptoquark effects in hyperon and kaon decays with missing energy
• Searching for lepton flavor violating decays tau to Pl in Minimal R-symmetric Supersymmetric Standard Model