1203.4541 (Harry J. Lipkin)
Harry J. Lipkin
Pauli blocking of tree-penguin interference by spectator $u$ quark not participating in weak interaction suppresses CP violation in charged $B$ to Kpi decays. Suppression only in charged B decays with final state of two identical u-quarks. New data show first evidence for tree diagram in large violation of I=1/2 penguin prediction only in relation between charged and neutral decays. No I=1/2 violation in individual decays. Surprising systematics explained by space-inversion, charge conjugation, Pauli antisymmetrization and flavor symmetry constraints. Short range symmetry correlations preserved by entanglement after separation into two mesons. Two antiquarks produced at same space point by tree diagram have even parity. Two $u$ quarks in final state also have even parity to produce even parity final state. Wave function of two u-quarks symmetric in space and flavor antisymmetric in color-spin. Wave function of two antiquarks also antisymmetric in color-spin and symmetric in flavor to produce color-singlet spin-singlet final state. Flavor symmetric $\bar u \bar d$ antiquark pair has isospin I=1. Flavor symmetric $\bar u \bar s$ has V-spin V =1. Generalized charge conjugation invariance requires I=2 for $\pi\pi$ tree diagram and V = 2 for $K\pi$. Tree-penguin interference and CP violation negligible in charged B to Kpi decays; final state has probability of only (1/8) for V=2. I=2 pi+ pio has no suppression. B+ to K\pi decay is pure penguin. Lipkin sum rule requires I=3/2 components of both decays to vanish. Violations of I=1/2 seen only in relation between charged and neutral decays. All experimental results agree with this analysis. Commonly used color-favored and color-suppressed tree diagrams not independent in B+ decay. Pauli antisymmetrization of identical u-quark pairs required.
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http://arxiv.org/abs/1203.4541
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