Abstract

We study the framework of U(1)X models with kinetic mixing and/or mass mixing terms. We give general and exact analytic formulas of fermion gauge interactions and the cross sections of neutrino-electron scattering in such models. Then we derive limits on a variety of U(1)X models that induce new physics contributions to neutrino-electron scattering, taking into account interference between the new physics and Standard Model contributions. Data from TEXONO, CHARM-II and GEMMA are analyzed and shown to be complementary to each other to provide the most restrictive bounds on masses of the new vector bosons. In particular, we demonstrate the validity of our results to dark photon-like as well as light Z′ models.

Highlights

  • Way, because the Z can take the form of a dark photon-like boson

  • Z models and dark photon models are usually described in different contexts but they refer to a massive gauge boson coming from a new gauge symmetry

  • That we have described the data sets used in the analysis and the theoretical framework of U(1)X models, we can perform a χ2-fit to derive limits on the relevant parameters of the models, namely, gX (gauge coupling from the U(1)X symmetry), α (parameter that encodes the kinetic and mass mixing defined in eq (2.14), and mZ

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Summary

Bμν Xμν

Physical basis, where gauge bosons are mass eigenstates with canonical kinetic terms, denoted as. MZ and mZ are the masses of the physical gauge bosons with canonical kinetic and mass terms, they are explicitly given in eqs. Note that JNC and JX should not be interpreted as the interaction forms of the gauge bosons in the physical basis (Z and Z ) with the fermions. Neither the kinetic mixing nor the mass mixing of the gauge bosons change the charged current and electromagnetic interactions. In analogy the terms b1,2 contain contributions proportional to cos α, sin α cos α and sin α Those correspond to the coupling of the original Xboson with neutrinos and electrons, modified by its mixing with the SM Z-boson. The reader can reproduce our results and cast limits on any U(1)X model of interest

Data fitting
3–8 MeV 3–8 MeV
Bounds
Conclusion
A Gauge boson mass generation
B Cross sections of neutrino-electron scattering
C Partial cross section
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