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Complete Lagrangian and Set of Feynman Rules for Scalar Leptoquarks
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abstract
Leptoquarks (LQs) have attracted increasing attention within recent years, mainly since they can explain the flavor anomalies found in $R(D^{(*)})$, $b \rightarrow s \ell^+ \ell^-$ transitions and the anomalous magnetic moment of the muon. In this article, we lay the groundwork for further automated analyses by presenting the complete Lagrangian and the corresponding set of Feynman rules for scalar leptoquarks. This means we consider the five representations $\Phi_1, \Phi_{\tilde1}, \Phi_2, \Phi_{\tilde2}$ and $\Phi_3$ and include the triple and quartic self-interactions, as well as couplings to the Standard Model (SM) fermions, gauge bosons and the Higgs. The calculations are performed using FeynRules and all model files are publicly available online at https://gitlab.com/lucschnell/SLQrules.
Forward citations
Cited by 3 Pith papers
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A Baryon and Lepton Number Violation Model Testable at the LHC
A TeV-scale baryon number violation model with three new scalars evades proton decay limits and predicts a same-sign dimuon plus anti-top signature at the LHC.
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Radiative generation of chiral vector operators in $b\to s \nu\bar{\nu}$ transition
Minimal one-loop models that generate both chiral vector operators for b→sνν̄ are systematically classified but cannot quantitatively explain the Belle II anomaly.
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The effects of a scalar singlet Leptoquark at the $Z$ factory
A scalar singlet leptoquark that explains B-meson anomalies produces a ~0.7% decrease in Z→τ+τ−, which future Z-factory measurements could detect, while Z→μ+μ− is essentially unchanged.
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