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The Standard Model (SM), if augmented with a light SM-singlet scalar and a TeV-scale scalar leptoquark (LQ) S₁, 2-body charged lepton flavor violating (CLFV) decay channels can be accessed with as one of the final states, where the leading order effective interactions between and the SM fields arise at one-loop level. Further, in the presence of S₁, can mediate 3-body CLFV processes with either two photons or two gluons in the final states. Thus, the model predicts an exotic 3-body CLFV channel: AB gg, which can be tested/constrained only through some future high-energy experiments looking for di-gluon signals from a leptonic decay.
Bibhabasu De (Sat,) studied this question.
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