Complete Lagrangian and Set of Feynman Rules for Scalar Leptoquarks

Abstract

Leptoquarks (LQs) have attracted increasing attention within recent years, mainly since they can explain the flavor anomalies found in $R(D^{(\ast )})$, $b\to s{\ell }^{+}{\ell }^{-}$ 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 ${\Phi }_1,{\Phi }_{\tilde{1}},{\Phi }_2,{\Phi }_{\tilde{2}}$ 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.

Newest version available at https://lucschnell.ch

References in corpus (31)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• B-physics anomalies: a guide to combined explanations
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Test of lepton universality in beauty-quark decays
• Confronting lepton flavor universality violation in B decays with high-$p_T$ tau lepton searches at LHC
• Implications of lepton flavor universality violations in B decays
• B-decay Anomalies in a Composite Leptoquark Model
• Leptoquark Flavor Patterns & B Decay Anomalies
• Simplified models with baryon number violation but no proton decay
• Scalar leptoquarks and the rare B meson decays
• $(g-2{)}_{\mu }$, Lepton Flavour Violation and $Z$ Decays with Leptoquarks: Correlations and Future Prospects
• The role of the $S_3$ GUT leptoquark in flavor universality and collider searches
• Leptoquarks, Dark Matter, and Anomalous LHC Events
• Leptoquarks: Neutrino masses and accelerator phenomenology
• A resource for signs and Feynman diagrams of the Standard Model
• A Model of Muon Anomalies
• Consequences of R-Parity violating interactions for anomalies in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$ and $b\to s{\mu }^{+}{\mu }^{-}$
• The Fermi constant from muon decay versus electroweak fits and CKM unitarity
• Combined explanations of $(g-2{)}_{\mu }$, $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$ anomalies in a two-loop radiative neutrino mass model
• Massive vectors and loop observables: the $g-2$ case
• Measurement of $\mathcal{R}(D)$ and $\mathcal{R}(D^{\ast })$ with a semileptonic tagging method
• Vector Leptoquarks Beyond Tree Level
• Are the CKM anomalies induced by vector-like quarks? Limits from flavor changing and Standard Model precision tests
• Addressing the CKM Unitarity Problem with a Vector-like Up Quark
• Effective Theory Approach to New Physics with Flavour: General Framework and a Leptoquark Example
• Explanation of $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and muon $g-2$, and implications at the LHC
• Phenomenology of $b\to c\tau \bar{\nu }$ decays in a scalar leptoquark model
• Addendum to: Combined Constraints on First Generation Leptoquarks
• Constraints on scalar and vector leptoquarks from the LHC Higgs data
• Global Bayesian Analysis of new physics in $b\to s\mu \mu$ transitions after Moriond-2019

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• Leptoquarks, axions and the unification of B, L, and Peccei-Quinn symmetries
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• Correlating $0\nu \beta \beta$ decays and flavor observables in leptoquark models
• Search for $t$-channel scalar and vector leptoquark exchange in the high-mass dimuon and dielectron spectra in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Searching for exclusive leptoquarks with the Nambu-Jona-Lasinio composite model at the LHC and HL-LHC
• Rare decay $t\to c\gamma \gamma$ via scalar leptoquark doublets
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• Scalar leptoquark contributions to the $gg\to Zh$ process