Neutrino mixing and large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>violation in<i>B</i>physics

Abstract

We show that in seesaw models of neutrino mass in a SUSY $\mathrm{SO}(10)$ context, the observed large mixing in atmospheric neutrinos naturally leads to large $b\ensuremath{-}s$ transitions. If the associated new $\mathrm{CP}$ phase turns out to be large, this SUSY contribution can drastically affect the $\mathrm{CP}$ violation in some of the B decay channels yielding the $\ensuremath{\beta}$ and $\ensuremath{\gamma}$ angles of the unitarity triangle. They can even produce sizable $\mathrm{CP}$ asymmetries in some decay modes which are not $\mathrm{CP}$ violating in the standard model context. Hence the observed large neutrino mixing makes observations of the low energy SUSY effect in some $\mathrm{CP}$ violating decay channels potentially promising in spite of the agreement between the standard model and data in K and B physics so far.