The phenomenological cornucopia of SU(3) exotica

Abstract

We introduce an effort to catalog the gauge-invariant interactions of Standard Model (SM) particles and new fields in a variety of representations of the SM color gauge group $\text{SU}(3{)}_{\text{c}}$. In this first installment, we direct this effort toward fields in the six-dimensional (sextet, $6$) representation. We consider effective operators of mass dimension up to seven (comprehensively up to dimension six), featuring both scalar and fermionic color sextets. We use an iterative tensor-product method to identify the color invariants underpinning such operators, emphasizing structures that have received little attention to date. In order to demonstrate the utility of our approach, we study a simple but novel model of color-sextet fields at the Large Hadron Collider (LHC). We compute cross sections for an array of new production channels enabled by our operators, including single-sextet production and sextet production in association with photons or leptons. We also discuss dijet-resonance constraints on a sextet fermion. This example shows that there remains a wide array of fairly minimal but well motivated and unexplored models with extended strong sectors as we await the high-luminosity LHC.

arXiv comment19 pages, 6 figures. Corrected typo in Equation (12)

References in corpus (30)

• 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
• Dimension-Six Terms in the Standard Model Lagrangian
• Parton distributions with LHC data
• UFO - The Universal FeynRules Output
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• FeynRules - Feynman rules made easy
• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• A New Era in the Quest for Dark Matter
• Dirac Gaugino Masses and Supersoft Supersymmetry Breaking
• The automation of next-to-leading order electroweak calculations
• Dimension-8 Operators in the Standard Model Effective Field Theory
• The SMEFTsim package, theory and tools
• Complete Set of Dimension-8 Operators in the Standard Model Effective Field Theory
• Search for narrow and broad dijet resonances in proton-proton collisions at $\sqrt{s}=$ 13 TeV and constraints on dark matter mediators and other new particles
• Colored Resonant Signals at the LHC: Largest Rate and Simplest Topology
• Explorations of the Top Quark Forward-Backward Asymmetry at the Tevatron
• Physics searches at the LHC
• A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
• Post-Sphaleron Baryogenesis and an Upper Limit on the Neutron-Antineutron Oscillation Time
• Color Sextet Scalars at the CERN Large Hadron Collider
• Neutrino Mass Hierarchy and neutron-anti-neutron Oscillation from Baryogenesis
• GroupMath: A Mathematica package for group theory calculations
• QCD Corrections to Scalar Diquark Production at Hadron Colliders
• Criteria for Natural Hierarchies
• Diquark Higgs at LHC
• The quadratic divergence in the Higgs mass revisited
• Exploring color-octet scalar parameter space in minimal $R$-symmetric models
• Search for pair production of excited top quarks in the lepton+jets final state
• Pascal Program for Generating Tables of SU(3) Clebsch-Gordan Coefficients