Abstract

In these proceedings we explore the use of (non-linear) electroweak chiral Lagrangians for the description of possible beyond the Standard Model strong dynamics in the electroweak sector. Experimentally one observes an approximate electroweak symmetry breaking pattern $SU(2)_L\times SU(2)_R/SU(2)_{L+R}$. Quantum Chromodynamics shows a similar chiral structure and, in spite of the differences (in the electroweak theory $SU(2)_L\times U(1)_Y$ is gauged), it has served for years as a guide for this type of studies. Examples of one-loop computations in the low-energy effective theory and the theory including the first vector and axial-vector resonances are provided, yielding, respectively, predictions for $\gamma\gamma\to Z_LZ_L,W^+_LW^-_L$ and the oblique parameters $S$ and $T$.

Highlights

  • A non-linear realization of the EW would-be Goldstone bosons (WBGBs) is considered to build the EW low-energy effective field theory (EFT), which is described by an EW chiral Lagrangian with a light Higgs (ECLh)

  • One can search for new physics by studying the one-loop corrections [5], which are sensitive to deviations from the Standard Model (SM) in the Higgs boson couplings

  • For the sake of completeness, we have added the running of the ECLh parameters ar4 and ar5, which has been recently determined in the one-loop analysis of WW–scattering within the framework of chiral Lagrangians [7]

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Summary

Introduction: strong dynamics and chiral Lagrangians

A non-linear realization of the EW would-be Goldstone bosons (WBGBs) is considered to build the EW low-energy effective field theory (EFT), which is described by an EW chiral Lagrangian with a light Higgs (ECLh). It includes the Standard Model (SM) content: the EW Goldstones wa, the EW gauge bosons Wμa and Bμ and a singlet Higgs h (the fermion sector is not discussed here).

Low-energy EFT
Impact of spin–1 composite resonances on the oblique parameters
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