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Electron and muon $g-2$ anomalies in general flavour conserving two Higgs doublets models | | Francisco J. Botella
; Fernando Cornet-Gomez
; Miguel Nebot
; | | Date: |
2 Jun 2020 | | Abstract: | In general two Higgs doublet models (2HDMs) without scalar flavour changing
neutral couplings (SFCNC) in the lepton sector, the electron, muon and tau
interactions can be decoupled in a robust framework, stable under
renormalization group evolution. In this framework, the breaking of lepton
flavour universality (LFU) goes beyond the mass proportionality, opening the
possibility to accommodate a different behaviour among charged leptons. We
analyze the electron and muon $(g-2)$ anomalies in the context of these general
flavour conserving models in the leptonic sector (g$ell$FC). We consider two
different models, I-g$ell$FC and II-g$ell$FC, in which the quark Yukawa
couplings coincide, respectively, with the ones in type I and in type II 2HDMs.
We find two types of solutions that fully reproduce both $(g-2)$ anomalies, and
which are compatible with experimental constraints from LEP and LHC, from LFU,
from flavour and electroweak physics, and with theoretical constraints in the
scalar sector. In the first type of solution, all the new scalars have masses
in the 1--2.5 TeV range, the vacuum expectation values (vevs) of both doublets
are quite similar in magnitude, and both anomalies are dominated by two loop
Barr-Zee contributions. This solution appears in both models. In a second type
of solution, one loop contributions are dominant in the muon anomaly, all new
scalars have masses below 1 TeV, and the ratio of vevs is in the range 10--100.
The second neutral scalar $H$ is the lighter among the new scalars, with a mass
in the 210--390 GeV range while the pseudoscalar $A$ is the heavier, with a
mass in the range 400--900 GeV. The new charged scalar $H^pm$ is almost
degenerate either with the scalar or with the pseudoscalar. This second type of
solution only appears in the I-g$ell$FC model. Both solutions require the soft
breaking of the $mathbb{Z}_{2}$ symmetry of the Higgs potential. | | Source: | arXiv, 2006.1934 | | Services: | Forum | Review | PDF | Favorites | |
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