Optimization of Neutrino Oscillation Parameters Using Differential Evolution

DOI10.1088/0253-6102/59/3/14zbMATH Open1264.81314arXiv1109.2431OpenAlexW3100303885MaRDI QIDQ4924806

Ghulam Mustafa, Bilal Masud, Faisal Akram

Publication date: 10 June 2013

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Abstract: We combine Differential Evolution, a new technique, with the traditional grid based method for optimization of solar neutrino oscillation parameters $Delta{m}^2$ and $a{n}^{2}heta$ for the case of two neutrinos. The Differential Evolution is a population based stochastic algorithm for optimization of real valued non-linear non-differentiable objective functions that has become very popular during the last decade. We calculate well known chi-square ($ch{i}^2$) function for neutrino oscillations for a grid of the parameters using total event rates of chlorine (Homestake), Gallax+GNO, SAGE, Superkamiokande and SNO detectors and theoretically calculated event rates. We find minimum $ch{i}^2$ values in different regions of the parameter space. We explore regions around these minima using Differential Evolution for the fine tuning of the parameters allowing even those values of the parameters which do not lie on any grid. We note as much as 4 times decrease in $ch{i}^2$ value in the SMA region and even better goodness-of-fit as compared to our grid-based results. All this indicates a way out of the impasse faced due to CPU limitations of the larger grid method.

Full work available at URL: https://arxiv.org/abs/1109.2431

zbMATH Keywords

numerical optimizationsolar neutrinosneutrino masses and mixing

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Linear-quadratic optimal control problems (49N10) Weak interaction in quantum theory (81V15) Radiative transfer in astronomy and astrophysics (85A25)

Recommendations

• Parameter degeneracy in neutrino oscillation -- solution network and structural overview 👍 👎
• Neutrino oscillation parameter sampling with \texttt{MonteCUBES} 👍 👎

This page was built for publication: Optimization of Neutrino Oscillation Parameters Using Differential Evolution

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4924806)