Measuring the Weak Mixing Angle in the DUNE Near-Detector Complex.

André De Gouvêa,Pedro A N Machado,Yuber F Perez-Gonzalez,Zahra Tabrizi

doi:10.1103/physrevlett.125.051803

Abstract

The planned DUNE experiment will have excellent sensitivity to the vector and axial couplings of the electron to the Z boson via precision measurements of neutrino-electron scattering. We investigate the sensitivity of DUNE-PRISM, a movable near detector in the direction perpendicular to the beam line, and find that it will qualitatively impact our ability to constrain the weak couplings of the electron. We translate these neutrino-electron scattering measurements into a determination of the weak mixing angle at low scales and estimate that, with seven years of data taking, the DUNE near detector can be used to measure sin^{2}θ_{W} with about 2% precision. We also discuss the impact of combining neutrino-electron scattering data with neutrino trident production at DUNE-PRISM.

Highlights

The standard model of particle physics (SM) is a quantum field theory with a SUð3Þc × SUð2ÞL × Uð1ÞY gauge symmetry, corresponding to the color, weak-isospin, and hypercharge interactions, respectively, along with a set of fermion and boson fields describing the particles observed in nature
We investigate the sensitivity of DUNE-PRISM, a movable near detector in the direction perpendicular to the beam line, and find that it will qualitatively impact our ability to constrain the weak couplings of the electron
The exact definition of the weak mixing angle depends on the renormalization scheme, that is, the convention of which quantities are taken as input and which are derived from these inputs, along with the recipe for handling quantum corrections

Summary

Introduction

The standard model of particle physics (SM) is a quantum field theory with a SUð3Þc × SUð2ÞL × Uð1ÞY gauge symmetry, corresponding to the color, weak-isospin, and hypercharge interactions, respectively, along with a set of fermion and boson fields describing the particles observed in nature. The planned DUNE experiment will have excellent sensitivity to the vector and axial couplings of the electron to the Z boson via precision measurements of neutrino-electron scattering.

Results

Conclusion