Colorful Imprints of Heavy States in the Electroweak Effective Theory

Abstract

We analyze heavy states from generic ultraviolet completions of the Standard Model in a model-independent way and investigate their implications on the low-energy couplings of the electroweak effective theory. We build a general effective Lagrangian, implementing the electroweak symmetry breaking $SU(2{)}_L\otimes SU(2{)}_R\to SU(2{)}_{L+R}$ with a non-linear Nambu-Goldstone realization, which couples the known particles to the heavy states. We generalize the formalism developed in previous works~[1,2] to include colored resonances, both of bosonic and fermionic type. We study bosonic heavy states with $J^P=0^{\pm }$ and $J^P=1^{\pm }$, in singlet or triplet $SU(2{)}_{L+R}$ representations and in singlet or octet representations of $SU(3{)}_C$, and fermionic resonances with $J=\frac{1}{2}$ that are electroweak doublets and QCD triplets or singlets. Integrating out the heavy scales, we determine the complete pattern of low-energy couplings at the lowest non-trivial order. Some specific types of (strongly- and weakly-coupled) ultraviolet completions are discussed to illustrate the generality of our approach and to make contact with current experimental searches.

Comments: 51 pages, 2 figures, 12 tables; v2: matches Journal version