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.

arXiv commentNewest version available at https://lucschnell.ch

References in corpus (142)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• FeynRules 2.0 - A complete toolbox for tree-level phenomenology
• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• Evidence for an excess of B -> D(*) Tau Nu decays
• Test of lepton universality with $B^0\to K^{\ast 0}{\ell }^{+}{\ell }^{-}$ decays
• Measurement of an Excess of B -> D(*) Tau Nu Decays and Implications for Charged Higgs Bosons
• Physics of leptoquarks in precision experiments and at particle colliders
• Measurement of the ratio of branching fractions $\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\mu }^{-}{\overline{\nu }}_{\mu })$
• Observation of the rare $B_s^0\to {\mu }^{+}{\mu }^{-}$ decay from the combined analysis of CMS and LHCb data
• Angular analysis of the $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decay using $3\,\mbox{fb}^{-1}$ of integrated luminosity
• B-physics anomalies: a guide to combined explanations
• One Leptoquark to Rule Them All: A Minimal Explanation for $R_{D^{(\ast )}}$, $R_K$ and $(g-2{)}_{\mu }$
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Model independent constraints on leptoquarks from rare processes
• Test of lepton universality in beauty-quark decays
• Effective field theory approach to $b\to s\ell {\ell }^{(\prime )}$, $B\to K^{(\ast )}\nu \bar{\nu }$ and $B\to D^{(\ast )}\tau \nu$ with third generation couplings
• Patterns of New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ transitions in the light of recent data
• Simultaneous Explanation of $R(D^{(\ast )})$ and $b\to s{\mu }^{+}{\mu }^{-}$: The Last Scalar Leptoquarks Standing
• Anomalies in $B$-decays and $U(2)$ flavour symmetry
• Vector leptoquark resolution of $R_K$ and $R_{D^{(\ast )}}$ puzzles
• Measurement of the ratio of the $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ and $B^0\to D^{\ast -}{\mu }^{+}{\nu }_{\mu }$ branching fractions using three-prong $\tau$-lepton decays
• A three-site gauge model for flavor hierarchies and flavor anomalies
• Test of Lepton Flavor Universality by the measurement of the $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ branching fraction using three-prong $\tau$ decays
• Combined explanations of $(g-2{)}_{\mu ,e}$ and implications for a large muon EDM
• 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
• Measurement of $CP$-averaged observables in the $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decay
• $B$ Meson Anomalies in a Pati-Salam Model within the Randall-Sundrum Background
• Interpreting Hints for Lepton Flavor Universality Violation
• Flavor models for $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• Closing the window on single leptoquark solutions to the $B$-physics anomalies
• B-decay discrepancies after Moriond 2019
• A model of vector leptoquarks in view of the $B$-physics anomalies
• Automatic evaluation of UV and R2 terms for beyond the Standard Model Lagrangians: a proof-of-principle
• Measurement of $\mathcal{R}(D)$ and $\mathcal{R}(D^{\ast })$ with a semileptonic tagging method
• Emerging patterns of New Physics with and without Lepton Flavour Universal contributions
• Importance of Loop Effects in Explaining the Accumulated Evidence for New Physics in B Decays with a Vector Leptoquark
• High-$p_T$ dilepton tails and flavour physics
• Scalar leptoquarks from GUT to accommodate the $B$-physics anomalies
• B-decay Anomalies in a Composite Leptoquark Model
• $R_{D^{(\ast )}}$ anomaly: A possible hint for natural supersymmetry with $R$-parity violation
• Pair production of scalar leptoquarks at the LHC
• Leptoquark Flavor Patterns & B Decay Anomalies
• Pair production of scalar leptoquarks at the Tevatron
• Reconsidering the One Leptoquark solution: flavor anomalies and neutrino mass
• A Comprehensive Study of Leptoquark Bounds
• The CKM unitarity problem: A trace of new physics at the TeV scale?
• New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ confronts new data on Lepton Universality
• Global fit to $b\to c\tau \nu$ transitions
• Muon Anomalous Magnetic Moment and Leptoquark Solutions
• Joint lattice QCD - dispersion theory analysis confirms the quark-mixing top-row unitarity deficit
• Excesses of muon $g-2$, $R_{D^{(\ast )}}$, and $R_K$ in a leptoquark model
• Simplified models with baryon number violation but no proton decay
• Scalar leptoquarks and the rare B meson decays
• Towards a unified explanation of $R_{D^{(\ast )}}$, $R_K$ and $(g-2{)}_{\mu }$ anomalies in a left-right model with leptoquarks
• Pati-Salam explanations of the B-meson anomalies
• Update on the b->s anomalies
• Global Fit to Modified Neutrino Couplings and the Cabibbo-Angle Anomaly
• Combined Explanations of the $b\to s{\mu }^{+}{\mu }^{-}$ and $b\to c{\tau }^{-}\bar{\nu }$ Anomalies: a General Model Analysis
• A leptoquark model to accommodate $R_K^{\exp }<R_K^{\mathrm{SM}}$ and $R_{K^{\ast }}^{\exp }<R_{K^{\ast }}^{\mathrm{SM}}$
• New Low-energy Leptoquark Interactions
• Generalized Fierz identities
• Matching scalar leptoquarks to the SMEFT at one loop
• $(g-2{)}_{\mu }$, Lepton Flavour Violation and $Z$ Decays with Leptoquarks: Correlations and Future Prospects
• Addendum to "Impact of polarization observables and $B_c\to \tau \nu$ on new physics explanations of the $b\to c\tau \nu$ anomaly"
• Beta decays as sensitive probes of lepton flavor universality
• Low-energy phenomenology of scalar leptoquarks at one-loop accuracy
• A nonsupersymmetric resolution of the anomalous muon magnetic moment
• Angular analysis of $B^0\to K^{\ast }(892{)}^0{\ell }^{+}{\ell }^{-}$
• Constraints on scalar leptoquarks from lepton and kaon physics
• One Leptoquark to unify them? Neutrino masses and unification in the light of $(g-2{)}_{\mu }$, $R_{D^{(\star )}}$ and $R_K$ anomalies
• The role of the $S_3$ GUT leptoquark in flavor universality and collider searches
• Leptoquarks, Dark Matter, and Anomalous LHC Events
• Muon $g-2$ and scalar leptoquark mixing
• Leptoquarks: Neutrino masses and accelerator phenomenology
• Flavorful leptoquarks at hadron colliders
• A resource for signs and Feynman diagrams of the Standard Model
• Getting chirality right: single scalar leptoquark solutions to the $(g-2{)}_{e,\mu }$ puzzle
• Hints of R-parity violation in B decays into $\tau \nu$
• Third-family quark-lepton unification with a fundamental composite Higgs
• Addressing $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$, muon $g-2$ and ANITA anomalies in a minimal $R$-parity violating supersymmetric framework
• $R_{D^{(\ast )}}$ motivated ${\mathcal{S}}_1$ leptoquark scenarios: Impact of interference on the exclusion limits from LHC data
• Lepton-quark collisions at the Large Hadron Collider
• Precision predictions for scalar leptoquark pair-production at hadron colliders
• Consequences of R-Parity violating interactions for anomalies in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$ and $b\to s{\mu }^{+}{\mu }^{-}$
• A Model of Muon Anomalies
• The Fermi constant from muon decay versus electroweak fits and CKM unitarity
• Cabibbo anomaly versus electroweak precision tests: An exploration of extensions of the Standard Model
• 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
• Explaining $b\to s{\ell }^{+}{\ell }^{-}$ and the Cabibbo Angle Anomaly with a Vector Triplet
• Anatomy of $b\to c\tau \nu$ anomalies
• Measurement of $\mathcal{R}(D)$ and $\mathcal{R}(D^{\ast })$ with a semileptonic tagging method
• Discrepancies in simultaneous explanation of Flavor Anomalies and IceCube PeV Events using Leptoquarks
• $\mu \to e\gamma$ selecting scalar leptoquark solutions for the $(g-2{)}_{e,\mu }$ puzzles
• $R_2$ as a single leptoquark solution to $R_{D^{(\ast )}}$ and $R_{K^{(\ast )}}$
• Addressing the ${\mathbf{R}}_{D^{(\ast )}}$ anomalies with an ${\mathbf{S}}_1$ leptoquark from $\mathbf{SO}(10)$ grand unification
• Vector Leptoquarks Beyond Tree Level
• QCD Improved Matching for Semi-Leptonic B Decays with Leptoquarks
• Searching for Lepton Flavour (Universality) Violation and Collider Signals from a Singly-Charged Scalar Singlet
• Searching for Leptoquarks at IceCube and the LHC
• 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
• Correlating Lepton Flavour (Universality) Violation in $B$ Decays with $\mu \to e\gamma$ using Leptoquarks
• Bounds on Vector Leptoquarks
• Proton decay into charged leptons
• Effective Theory Approach to New Physics with Flavour: General Framework and a Leptoquark Example
• Unified explanation of flavor anomalies, radiative neutrino mass and ANITA anomalous events in a vector leptoquark model
• Bounds on second generation scalar leptoquarks from the anomalous magnetic moment of the muon
• Hunting scalar leptoquarks with boosted tops and light leptons
• Explanation of $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and muon $g-2$, and implications at the LHC
• Combined Explanation of the $Z\to b\bar{b}$ Forward-Backward Asymmetry, the Cabibbo Angle Anomaly, $\tau \to \mu \nu \nu$ and $b\to s{\ell }^{+}{\ell }^{-}$ Data
• A Common Origin of Neutrino Masses and $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$ Anomalies
• Simplified Models of Flavourful Leptoquarks
• Constraints on charmphilic solutions to the muon g-2 with leptoquarks
• Correlation between $R_{D^{(\ast )}}$ and top quark FCNC decays in leptoquark models
• Probing the R-parity violating supersymmetric effects in the exclusive b\to c\ell^-\barν_\ell decays
• Enhancing Scalar Productions with Leptoquarks at the LHC
• Revisiting scalar leptoquark at the LHC
• Implications of BNL measurement of δa_μ on scalar leptoquark mass and coupling
• Correlating Tauonic B Decays to the Neutron EDM via a Scalar Leptoquark
• Resonant third-generation leptoquark signatures at the Large Hadron Collider
• Phenomenology of $b\to c\tau \bar{\nu }$ decays in a scalar leptoquark model
• S, T, and Leptoquarks at HERA
• Sensitivity of Future Hadron Colliders to Leptoquark Pair Production in the Di-Muon Di-Jets Channel
• New physics in inclusive $B\to X_c\ell \bar{\nu }$ decay in light of $R(D^{(\ast )})$ measurements
• Collider phenomenology of a unified leptoquark model
• A model for the Singlet-Triplet Leptoquarks
• Collider signature of $U_1$ Leptoquark and constraints from $b\to c$ observables
• Proton Stability in Leptoquark Models
• MassToMI - a Mathematica package for an automatic Mass Insertion expansion
• Simplified leptoquark models for precision $l_i\to l_f\gamma$ experiments: two-loop structure of $O({\alpha }_S{Y}^2)$ corrections
• A comparative study of the $S_1$ and $U_1$ leptoquark effects in the light quark regime
• The role of non-universal $Z$ couplings in explaining the $V_{us}$ anomaly
• Addendum to: Combined Constraints on First Generation Leptoquarks
• Baryon and Lepton Number Violation with Scalar Bilinears
• 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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• A leptoquark and vector-like quark extended model for the simultaneous explanation of the $W$ boson mass and muon $g-2$ anomalies
• Fresh look at the LHC limits on scalar leptoquarks
• Constraints on leptoquarks from lepton-flavour-violating tau-lepton processes
• Marriage between neutrino mass and flavor anomalies
• Scalar leptoquarks at the LHC and flavour anomalies: a comparison of pair-production modes at NLO-QCD
• Next-to-Leading-Order QCD Matching for $\Delta F=2$ Processes in Scalar Leptoquark Models
• Constraining scalar leptoquarks using COHERENT data
• Leptoquarks, axions and the unification of B, L, and Peccei-Quinn symmetries
• Impact of electroweak group representation in models for $B$ and $g-2$ anomalies from Dark Loops
• Mutually elusive: vectorlike antileptons and leptoquarks
• 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
• Triple-leptoquark interactions for tree- and loop-level proton decays
• Explaining the hints for lepton flavour universality violation with three $S_2$ leptoquark generations
• Scalar leptoquark contributions to the $gg\to Zh$ process