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We point out that the correlation between the large atmospheric neutrinomixing and the $b \to s$ transition, if exists, comes from the lopsided flavorstructure in SO(10) grand unification theory. We suggest testing thecorrelation by studying the deviation of $S_{\phi K_S}$ and $S_{\eta' K_S}$from the standard model predictions along with the constraints from $\DeltaM_{B_S}$ and $b\to s \gamma$ in a realistic SO(10) model with lopsided flavorstructure. We find a specific correlation between $S_{\phi K_S}$ and $S_{\eta'K_S}$ that is intrinsic to the lopsided structure and discuss how to confirm orrule out this flavor pattern by the more accurate measurements of these CPviolation quantities in B decay.Comment: 6 pages, 4 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Atmospheric neutrino mixing and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>b</mml:mi><mml:mo>→</mml:mo><mml:mi>s</mml:mi></mml:math>transitions: Testing lopsided SO(10) flavor structure in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>physics

Atmospheric neutrino mixing andb→stransitions: Testing lopsided SO(10) flavor structure inBphysics