Compatibility of CE$ν$NS with muon $g-2$, $W$ mass, and $R(D^{(*)})$ in a gauged ${L_μ-L_τ}$ with a scalar LQ

• DOI: 10.48550/arxiv.2305.09256
• Publication Date: 2023-01-01
• Authors: Chuan-Hung Chen; Cheng-Wei Chiang; Chun-Wei Su
• Keywords: Leptoquark; Lepton number

Coherent elastic neutrino-nucleon scattering, challenged by the low nucleus recoil energy of a few tens keV, has been observed COHERENT experiment using targets CsI and Ar. We study contribution light $Z'$ mediator in gauged $U(1)_{L_μ-L_τ}$ symmetry. In contrast to mechanism from kinetic mixing between $U(1)_{\rm em}$ $U(1)_{L_μ-L_τ}$, we adopt dynamical symmetry breaking employing an extra Higgs doublet. As result, weak charge mediated only depends on mass gauge boson. Since two Goldstone bosons are required serve as longitudinal components $Z$ $Z'$, model does not contain physical CP-odd scalar. Using introduced doublet carrying $U(1)_{μ-τ}$ charge, new decay channels $h\to Z_1 Z_1/Z_1 Z_2$ with percent-level branching fractions become accessible. The $W$-mass anomaly CDF II can be resolved enhancing oblique parameter $T$. With flavored symmetry, Yukawa couplings fermion flavors strictly limited. By utilizing characteristic introducing scalar leptoquark $S^{\frac{1}{3}}=(3,1,2/3)$ that uniquely couples $τ$ lepton, excesses $R(D)$ $R(D^*)$ explained. Moreover, $τ\to μ(Z_1\to ) e^- e^+$ via resonant boson reach sensitivity Belle at integrated luminosity 50 ab$^{-1}$.