Abstract

We classify all possible one-particle (scalar and fermion) extensions of the Standard Model that can contribute to the anomalous magnetic moment of leptons. We review the cases already discussed in the literature and complete the picture by performing the calculation for a fermionic doublet with hypercharge -3/2. We conclude that, out of the listed possibilities, only two scalar leptoquarks and the pseudoscalar of a peculiar two-Higgs-doublet model could be the responsibles for the muon anomalous magnetic moment discrepancy. Were this the case, this particles could be seen in the next LHC run. To this aim, especially to test the leptoquark hypothesis, we suggest to look for final states with tops and muons.

Highlights

  • Be affected, in such a way that this possibility is substancially excluded [4,5,6]

  • Out of the listed possibilities, only two scalar leptoquarks and the pseudoscalar of a peculiar twoHiggs-doublet model could be the responsibles for the muon anomalous magnetic moment discrepancy

  • In this work we have completed the analysis of the contributions to the muon anomalous magnetic moment for all the one-particle extensions of the SM

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Summary

The classification

Where L is the lepton doublet, eR the lepton singlet, φ the Higgs doublet and Fμν the electromagnetic field strength. This is generated at one loop, with a fermion and a gauge or Higgs boson circulating in it. In SM extensions, an analogous loop, with a new fermion or boson inside it, can give a contribution to the same operator. The only thing we have to require is that at any vertex Lorentz invariance, gauge invariance and renormalizability are respected.. The only thing we have to require is that at any vertex Lorentz invariance, gauge invariance and renormalizability are respected.1 This gives us a finite list of new particles, that are collected in tables 1 and 2.2 Some comments are in order The only thing we have to require is that at any vertex Lorentz invariance, gauge invariance and renormalizability are respected. This gives us a finite list of new particles, that are collected in tables 1 and 2.2 Some comments are in order

Fermions
Scalars
Conclusions
A Lagrangian in the mass basis
Full Text
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