Multipole decomposition of tensor interactions of fermionic probes with composite particles and BSM signatures in nuclear reactions

Abstract

A multipole decomposition of a cross-section is a useful tool to simplify the analysis of reactions due to their symmetry properties. By using a new approach to decompose antisymmetric tensor-type interactions within the multipole analysis, we introduce a general mathematical formalism for working with tensor couplings. This allows us to present a general tensor nuclear response, which is particularly useful for ongoing beta-decay experiments looking for physics beyond the Standard Model, as well as other exotic particle scatterings off nuclei, e.g., in dark matter direct detection experiments. Using this method, beyond the Standard Model operators identify with the known Standard Model operators, eliminating the need for calculations of additional matrix elements. We present in detail BSM expressions useful for beta-decay experiments and give an exemplary application for 6He beta-decay, although the formalism is easily generalizable for calculating other exotic scattering reactions.

arXiv comment39 pages, 1 figure

References in corpus (26)

• The Effective Field Theory of Dark Matter Direct Detection
• Tests of the standard electroweak model in beta decay
• Model-independent WIMP Scattering Responses and Event Rates: A Mathematica Package for Experimental Analysis
• Tools for model-independent bounds in direct dark matter searches
• New physics searches in nuclear and neutron $\beta$ decay
• Large-scale nuclear structure calculations for spin-dependent WIMP scattering with chiral effective field theory currents
• Beta Decays and Non-Standard Interactions in the LHC Era
• Determination of the Weak Axial Vector Coupling from a Measurement of the Beta-Asymmetry Parameter A in Neutron Beta Decay
• Axial, Scalar and Tensor Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• Coherent elastic neutrino-nucleus scattering: EFT analysis and nuclear responses
• Spin-dependent WIMP scattering off nuclei
• High precision analytical description of the allowed $\beta$ spectrum shape
• Analysis strategies for general spin-independent WIMP-nucleus scattering
• Precision Measurement of the Neutron Beta-Decay Asymmetry
• The Soreq Applied Research Accelerator Facility (SARAF) - Overview, Research Programs and Future Plans
• Isospin breaking in the nucleon mass and the sensitivity of beta decays to new physics
• Chiral Perturbation Theory with tensor sources
• Symmetry violations in nuclear and neutron $\beta$ decay
• Tensorial NSI and Unparticle physics in neutrino scattering
• Kinematic sensitivity to the Fierz term of $\beta$-decay differential spectra
• Dark matter detectors as a novel probe for light new physics
• Beta spectrum of unique first-forbidden decays as a novel test for fundamental symmetries
• A Mathematica script for harmonic oscillator nuclear matrix elements arising in semileptonic electroweak interactions
• Beta Spectrum Generator: High precision allowed $\beta$ spectrum shapes
• Weak interaction studies at SARAF
• A formalism to assess the accuracy of nuclear-structure weak interaction effects in precision $\beta$-decay studies

Cited by in corpus (7)

• Opportunities and open questions in modern $\beta$ decay
• Up-scattering production of a sterile fermion at DUNE: complementarity with spallation source and direct detection experiments
• A formalism to assess the accuracy of nuclear-structure weak interaction effects in precision $\beta$-decay studies
• Unique forbidden beta decays at zero momentum transfer
• Nonrelativistic nuclear reduction for tensor couplings in dark matter direct detection and $\mu \to e$ conversion
• Tensor interaction in coherent elastic neutrino-nucleus scattering
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model