Entangled symmetries explain without QCD dynamics CP violation in neutral B to Kpi decays; not in charged B decays Unexpected isospin relations in charged and neutral decays,

Abstract

Simple flavor symmetry argument without QCD dynamics shows why CP violation observed in neutral $B$ to $Kπ$ decays is absent in charged B decays where tree diagram final state has two $u$ quarks satisfying Pauli principle. Entanglement preserves short range symmetry correlations after separation into two mesons. Pauli principle and symmetries require totally flavor-symmetric tree diagram final state. $ππ$ isospin state with I=2 already is flavor symmetric and suffers no symmetry constraint. Strange flavor-symmetric state with V spin V=2 is linear combination of $Kπ$ and $K η$ with probability only (1/4) for $Kπ$. Tree diagram suppression by factor 4 not present in neutral decays explains negligible tree-penguin interference and CP violation in charged decays. Detailed full symmetry analysis shows constraints from space-inversion, charge conjugation, Pauli antisymmetrization and flavor symmetry. Two antiquarks produced at same space point by tree diagram have even parity. Even parity final state requires even parity, even space symmetry and color-spin antisymmetry for two $u$ quarks. Color-singlet spin-singlet final state requires color-spin antisymmetry and therefore flavor symmetry for two-antiquark wave function. Flavor symmetric $\bar u \bar d$ and $\bar u \bar s$ antiquark pairs have isospin I=1 and V-spin V =1. Generalized charge conjugation invariance requires I=2 for $ππ$ tree diagram and V = 2 for $Kπ$. Penguin decays give I = 1/2 final state and no CP violation. Experiments confirm surprising predictions from tree suppression factor not noted in previous analyzes. I=1/2 violations seen only in relation between charged and neutral decays together with no I=3/2 components in each individual decay. Common treatments using $ππ$ data fail to fit $Kπ$ data.