Constraining the new contributions to electron g − 2 in a radiative neutrino mass model

Abstract

We examine electron and muon anomalous magnetic dipole moments within a radiative neutrino mass model featuring TeV-scale scalar leptoquarks <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>S</a:mi> <a:mo stretchy="false">(</a:mo> <a:mn>3</a:mn> <a:mo>,</a:mo> <a:mn>1</a:mn> <a:mo>,</a:mo> <a:mo>−</a:mo> <a:mn>1</a:mn> <a:mo>/</a:mo> <a:mn>3</a:mn> <a:mo stretchy="false">)</a:mo> </a:math> and <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:mi>R</e:mi> <e:mo stretchy="false">(</e:mo> <e:mn>3</e:mn> <e:mo>,</e:mo> <e:mn>2</e:mn> <e:mo>,</e:mo> <e:mn>1</e:mn> <e:mo>/</e:mo> <e:mn>6</e:mn> <e:mo stretchy="false">)</e:mo> </e:math> . We utilize textures with decoupling electron and muon sectors, so that both electron and muon anomalous magnetic dipole moments could receive internal chiral enhancements from different heavy up-type quarks while in the same time evading the stringent <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mi>μ</i:mi> <i:mo stretchy="false">→</i:mo> <i:mi>e</i:mi> <i:mi>γ</i:mi> </i:math> constraint. A successful fit to neutrino oscillation data requires the simultaneous presence of one- and two-loop neutrino mass contributions. This severely constrains the parameter space of the model, which results in a negligible new physics correction to the muon <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:mi>g</l:mi> <l:mo>−</l:mo> <l:mn>2</l:mn> </l:math> . The electron <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:mi>g</n:mi> <n:mo>−</n:mo> <n:mn>2</n:mn> </n:math> discrepancy implied by the rubidium experiment, on the other hand, can be resolved within <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"> <p:mn>2</p:mn> <p:mi>σ</p:mi> </p:math> uncertainty provided that neutrino mass ordering is inverted. Lepton-flavor-violating tau decay rates, such as <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"> <r:mi>τ</r:mi> <r:mo stretchy="false">→</r:mo> <r:mi>e</r:mi> <r:mi>γ</r:mi> </r:math> and <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"> <u:mi>τ</u:mi> <u:mo stretchy="false">→</u:mo> <u:mn>3</u:mn> <u:mi>e</u:mi> </u:math> , are predicted to be within the sensitivities of next-generation experiments.

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