<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math> solar neutrinos at DARWIN
André de Gouvêa, Emma McGinness, Ivan Martínez-Soler, Yuber F. Perez-Gonzalez
Abstract
The DARWIN collaboration recently argued that DARWIN (dark matter wimp search with liquid xenon) can collect, via neutrino-electron scattering, a large, useful sample of solar $pp$-neutrinos, and measure their survival probability with subpercent precision. We explore the physics potential of such a sample in more detail. We estimate that, with 300 ton-years of data, DARWIN can also measure, with the help of current solar neutrino data, the value of ${\mathrm{sin}}^{2}{\ensuremath{\theta}}_{13}$, with the potential to exclude ${\mathrm{sin}}^{2}{\ensuremath{\theta}}_{13}=0$ close to the three-sigma level. We explore in some detail how well DARWIN can constrain the existence of a new neutrino mass-eigenstate ${\ensuremath{\nu}}_{4}$ that is quasimass-degenerate with ${\ensuremath{\nu}}_{1}$ and find that DARWIN's sensitivity supersedes that of all current and near-future searches for new, very light neutrinos. In particular, DARWIN can test the hypothesis that ${\ensuremath{\nu}}_{1}$ is a pseudo-Dirac fermion as long as the induced mass-squared difference is larger than ${10}^{\ensuremath{-}13}\text{ }\text{ }{\mathrm{eV}}^{2}$, one order of magnitude more sensitive than existing constraints. Throughout, we allowed for the hypotheses that DARWIN is filled with natural xenon or $^{136}\mathrm{Xe}$-depleted xenon.