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Atmospheric neutrinos can make beauty strange

2004; American Physical Society; Volume: 69; Issue: 9 Linguagem: Inglês

10.1103/physrevd.69.094024

1550-7998

Roni Harnik, Daniel T. Larson, Hitoshi Murayama, Aaron Pierce,

Astrophysics and Cosmic Phenomena

The large observed mixing angle in atmospheric neutrinos, coupled with grand unification, motivates the search for large mixing between right-handed strange and bottom squarks. Such mixing does not appear in the standard Cabibbo-Kobayashi-Maskawa phenomenology, but may induce significant $\stackrel{\ensuremath{\rightarrow}}{b}s$ transitions through gluino diagrams. Working in the mass eigenbasis, we show quantitatively that an $O(1)$ effect on CP violation in ${B}_{d}^{0}\ensuremath{\rightarrow}\ensuremath{\varphi}{K}_{S}$ is possible due to a large mixing between ${s}_{R}$ and ${b}_{R},$ while still satisfying constraints from $\stackrel{\ensuremath{\rightarrow}}{b}s\ensuremath{\gamma}.$ We also include the effect of ${b}_{L}\ensuremath{-}{b}_{R}$ mixing proportional to ${m}_{b}\ensuremath{\mu}\mathrm{tan}\ensuremath{\beta}.$ In the case where ${m}_{b}\ensuremath{\mu}\mathrm{tan}\ensuremath{\beta}\ensuremath{\ll}{M}_{\mathrm{SUSY}}^{2}$ there may be a large effect in ${B}_{s}$ mixing correlated with a large effect in ${B}_{d}^{0}\ensuremath{\rightarrow}\ensuremath{\varphi}{K}_{S},$ typically yielding an unambiguous signal of new physics at Tevatron run II.