Colorful Imprints of Heavy States in the Electroweak Effective Theory

Claudius Krause; Antonio Pich; Ignasi Rosell; Joaquín Santos; Juan José Sanz-Cillero

doi:10.1007/JHEP05(2019)092

paper

Colorful Imprints of Heavy States in the Electroweak Effective Theory

arXiv:1810.10544 · doi:10.1007/JHEP05(2019)092

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 $S U (2)_{L} \otimes S U (2)_{R} \to S U (2)_{L + R}$ 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 $S U (2)_{L + R}$ representations and in singlet or octet representations of $S U (3)_{C}$ , 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.

arXiv comment51 pages, 2 figures, 12 tables; v2: matches Journal version

Colorful Imprints of Heavy States in the Electroweak Effective Theory

Abstract

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