A Semi-Analytical Computation of the Theoretical Uncertainties of the Solar Neutrino Flux

TL;DR

This paper introduces a semi-analytical method to efficiently compute the uncertainties of solar neutrino fluxes, matching Monte Carlo results but with significantly less computational effort.

Contribution

The paper presents a semi-analytical approach that accurately reproduces the probability distributions of solar neutrino fluxes, offering a faster alternative to Monte Carlo simulations.

Findings

Semi-analytical method closely matches Monte Carlo confidence intervals.

The approach reveals the same symmetries in probability distribution functions.

Method significantly reduces computational cost, enabling easy incorporation of new data.

Abstract

We present a comparison between Monte Carlo simulations and a semi-analytical approach that reproduces the theoretical probability distribution functions of the solar neutrino fluxes, stemming from the $pp$, $pep$, $hep$, $^7\mathrm{Be}$, $^8\mathrm{B}$, $^{13}\mathrm{N}$, $^{15}\mathrm{O}$, and $^{17}\mathrm{F}$ source reactions. We obtain good agreement between the two approaches. Thus, the semi-analytical method yields confidence intervals that closely match those found, based on Monte Carlo simulations, and points towards the same general symmetries of the investigated probability distribution functions. Furthermore, the negligible computational cost of this method is a clear advantage over Monte Carlo simulations, making it trivial to take new observational constraints on the input parameters into account.