Radiative neutrino masses, lepton flavor mixing and muon g − 2 in a leptoquark model
Di Zhang
Abstract
A bstract We propose a leptoquark model with two scalar leptoquarks $$ {S}_1\left(\overline{3},1,\frac{1}{3}\right) $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>S</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mfenced> <mml:mover> <mml:mn>3</mml:mn> <mml:mo>¯</mml:mo> </mml:mover> <mml:mn>1</mml:mn> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>3</mml:mn> </mml:mfrac> </mml:mfenced> </mml:math> and $$ {\tilde{R}}_2\left(3,2,\frac{1}{6}\right) $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mover> <mml:mi>R</mml:mi> <mml:mo>˜</mml:mo> </mml:mover> <mml:mn>2</mml:mn> </mml:msub> <mml:mfenced> <mml:mn>3</mml:mn> <mml:mn>2</mml:mn> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>6</mml:mn> </mml:mfrac> </mml:mfenced> </mml:math> to give a combined explanation of neutrino masses, lepton flavor mixing and the anomaly of muon g − 2, satisfying the constraints from the radiative decays of charged leptons. The neutrino masses are generated via one-loop corrections resulting from a mixing between S 1 and $$ {\tilde{R}}_2 $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mover> <mml:mi>R</mml:mi> <mml:mo>˜</mml:mo> </mml:mover> <mml:mn>2</mml:mn> </mml:msub> </mml:math> . With a set of specific textures for the leptoquark Yukawa coupling matrices, the neutrino mass matrix possesses an approximate μ - τ reflection symmetry with ( M ν ) ee = 0 only in favor of the normal neutrino mass ordering. We show that this model can successfully explain the anomaly of muon g − 2 and current experimental neutrino oscillation data under the constraints from the radiative decays of charged leptons.