Abstract

With the renewed interest in vector-like fermion extensions of the Standard Model, we present here a study of multiple vector-like theories and their phenomenological implications. Our focus is mostly on minimal flavor conserving theories that couple the vector-like fermions to the SM gauge fields and mix only weakly with SM fermions so as to avoid flavor problems. We present calculations for precision electroweak and vector-like state decays, which are needed to investigate compatibility with currently known data. We investigate the impact of vector-like fermions on Higgs boson production and decay, including loop contributions, in a wide variety of vector-like extensions and their parameter spaces.

Highlights

  • The Standard Model (SM) of particle physics is a chiral theory under the electroweak gauge symmetries, SU(2)L×U(1)Y

  • With the renewed interest in vector-like fermion extensions of the Standard Model, we present here a study of multiple vector-like theories and their phenomenological implications

  • We investigate the impact of vector-like fermions on Higgs boson production and decay, including loop contributions, in a wide variety of vector-like extensions and their parameter spaces

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Summary

Introduction

The Standard Model (SM) of particle physics is a chiral theory under the electroweak gauge symmetries, SU(2)L×U(1)Y. [35, 36] considers a vector-like lepton generation (including new SU(2) singlets) and the possibility of the electromagnetic charge neutral vector-like lepton being a dark matter candidate They analyze precision electroweak bounds, modifications to Higgs observables and vacuum stability bounds for this extension. The constraints from shifts to Zbb couplings on their model is very tight, while this will not apply in our case since we do not allow any significant Yukawa coupling between the new SU(2) vector-like doublet and SM singlets; (b) they only consider quarks while we include leptons ; (c) we include the recent LHC Higgs data while their study was done before the Higgs discovery. We conclude with a brief discussion on the meaning of the results in the context of some theories of physics beyond the SM, and discuss what the future may hold in our search for vector-like states

Vector-like-fermion models
Υ model
Alternate Yukawa coupling
Some vector-like extensions of the SM
Precision electroweak observables
Υ model with alternate Yukawa coupling
Shift in the Zbb coupling
Mass and gauge eigenstates
Computation of decay widths
Experimental limits from VLQuark searches
Experimental limits from VLLepton searches
Higgs production and decay processes
Numerical results for electroweak and Higgs boson observables
MVLE1 vector-like leptons model
MVQD1 vector-like quarks model
VSM1 vector-like standard model
Fit to the LHC Higgs data
Conclusions
A Gauge boson 2-point functions with vector-like fermions
Findings
B Explicit expressions for the mixing coefficients
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