The phenomenological cornucopia of SU(3) exotica

Understand

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, $\boldsymbol{6}$) 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.