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 $\mathrm{SU}(3{)}_{\mathrm{c}}$. In this first installment, we direct this effort toward fields in the six-dimensional (sextet, $\mathbf{6}$) 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.
Highlights
The search for physics beyond the Standard Model, spearheaded by the CERN Large Hadron Collider (LHC) [1], continues unabated, spurred on by a constellation of theoretical deficiencies and experimental anomalies that continue to bedevil the Standard Model
In this work we have taken a new look at the possible interactions of beyond-the-Standard Model particles that are charged under the SM color gauge group SUð3Þc
Such states can be copiously produced at the LHC, and it is important to understand the space of their possible interactions in order to understand how LHC data constrains their existence
Summary
The search for physics beyond the Standard Model (bSM), spearheaded by the CERN Large Hadron Collider (LHC) [1], continues unabated, spurred on by a constellation of theoretical deficiencies and experimental anomalies that continue to bedevil the Standard Model. Using an iterative tensor-product method to construct new color invariants, we enumerate all possible operators of mass dimension up to six connecting sextets to Standard Model fields, and identify a few potentially interesting dimension-seven operators. Several of these operators have to date received little or no attention. In order to motivate this operator catalog ex post facto, we construct two simplified models of color-sextet fields and explore the phenomenology of these particles at the LHC. The Appendix contains a thorough discussion of the representation theory of the SU(3) sextet, along with some notes about the implementation of our specific color-sextet models in public computing tools
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
