Electroweak chiral Lagrangian for left–right symmetric models

Abstract

The complete list of electroweak chiral Lagrangian up to order of p 4 for left-right symmetric models with a neutral light higgs is provided. The connection of these operators to left and right gauge boson mixings and masses is made and their contribution to conventional generalized electroweak chiral Lagrangian with a neutral light higgs included in is estimated.

CP-Violation from Spin-1 Resonances in a Left-Right Dynamical Higgs Context

“…The corresponding CP-conserving counterpart was recently analysed in [47]. The work in here enlarges and completes the operator basis previously considered in [48,49] (for the CP-breaking sector) in the context of left-right symmetric EW chiral models, completing and generalizing also the work done in [50][51][52][53][54] (for the CPviolating sector), and it extends as well [55] to the case of a larger local gauge symmetry G in the context of nonlinear EW interactions coupled to a light Higgs particle. The theoretical framework undertaken in here may be considered as well as a generic UV completion of the low energy non-linear approaches of [50][51][52][53][54] and [55].…”

“…[55], whereas part of ∆L ✟ ✟ CP,L and ∆L ✟ ✟ CP,R were already analysed for the left-right symmetric frameworks in Refs. [48,49].…”

“…(16)), therefore in total one has 32 non-linear operators, among the which, 20 of them (10 S i, L (h) + 10 S i, R (h)) had already been listed in Refs. [48,49]. In here 12 additional operators have been found (6 S i, L (h) + 6 S i, R (h)) and naturally promoted by the symmetries of the model (together with the P LR -symmetry), such that the whole tower of operators making up the basis {S i, L (h), S i, R (h)} is given by:…”

“…[55] and not provided in the leftright symmetric EW chiral treatment of Refs. [48,49]. Notice that operators {S 10−14, χ (h), S 16, χ (h)} containing the contraction D µ V µ χ , (S 13−14, χ (h) with double derivatives of F (h)), are not present in Refs.…”

“…Notice that operators {S 10−14, χ (h), S 16, χ (h)} containing the contraction D µ V µ χ , (S 13−14, χ (h) with double derivatives of F (h)), are not present in Refs. [48,49], and are the resulting additional ones after extending the SM local symmetry through SU (2) R , being naturally allowed by the local symmetries of the model. Notice as well that the entire basis S i, R (h) contained in Eq.…”