Beta Spectrum Generator: High precision allowed $\beta$ spectrum shapes

Abstract

Several searches for Beyond Standard Model physics rely on an accurate and highly precise theoretical description of the allowed $\beta$ spectrum. Following recent theoretical advances, a C++ implementation of an analytical description of the allowed beta spectrum shape was constructed. It implements all known corrections required to give a theoretical description accurate to a few parts in $10^4$. The remaining nuclear structure-sensitive input can optionally be calculated in an extreme single-particle approximation with a variety of nuclear potentials, or obtained through an interface with more state-of-the-art computations. Due to its relevance in modern neutrino physics, the corresponding (anti)neutrino spectra are readily available with appropriate radiative corrections. In the interest of user-friendliness, a graphical interface was developed in Python with a coupling to a variety of nuclear databases. We present several test cases and illustrate potential usage of the code. Our work can be used as the foundation for current and future high-precision experiments related to the beta decay process. Source code: https://github.com/leenderthayen/BSG Documentation: http://bsg.readthedocs.io

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Cited by in corpus (9)

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• Simulations of Events for the LUX-ZEPLIN (LZ) Dark Matter Experiment
• $\mathcal{F}t$ values of the mirror $\beta$ transitions and the weak magnetism induced current in allowed nuclear $\beta$ decay
• Opportunities and open questions in modern $\beta$ decay
• Empirical capture cross sections for cosmic neutrino detection with ${}^{151}\mathbf{Sm}$ and ${}^{171}\mathbf{Tm}$
• First measurements with a new $\beta$-electron detector for spectral shape studies
• Multipole decomposition of tensor interactions of fermionic probes with composite particles and BSM signatures in nuclear reactions
• A formalism to assess the accuracy of nuclear-structure weak interaction effects in precision $\beta$-decay studies