New Analysis of $B \rightarrow K\pi$ data with Pauli blocking CP violation in $B^o$ decays, not in $B^{\pm}$ SU(3) use of $B \rightarrow \pi\pi$ data invalid for $B \rightarrow K\pi$

TL;DR

This paper explains CP violation differences in B to Kpi decays using Pauli blocking, predicts new isospin relations, and challenges previous SU(3) assumptions by focusing on Pauli-favored amplitudes.

Contribution

It introduces a novel application of Pauli blocking to B decays, providing a new explanation for CP violation patterns and invalidating prior SU(3)-based analyses.

Findings

CP violation observed in neutral B decays but not charged B decays.

Strong violation of penguin I=1/2 isospin relation between charged and neutral decays.

Pauli blocking predicts suppression of certain amplitudes with identical u quarks.

Abstract

New data analysis with Pauli blocking explains observation of CP violation in $B^o\rightarrow K\pi$ decays, absence in $B^{\pm} \rightarrow K\pi$ decays and gives new predictions agreeing with experiment. Branching ratio data show pure I=1/2 amplitude predicted by pure penguin transitions for separate relations within charged and neutral B decays, but strong violation of penguin I=1/2 isospin relation between charged and neutral decays. $B(B^o \rightarrow K^+ \pi^-) - 2B(B^o\rightarrow K^o \pi^o) = %(19.4 \pm 0.6)- 2\cdot (9.4 \pm 0.6) = (0.6 \pm 1.3)\cdot 10^-6 \approx 0$ $2B(B^+ \rightarrow K^+ \pi^o) - B(B^+ \rightarrow K^o \pi^+) = %(25.8\pm 1.2) - (23.1 \pm 1.0) = (2.7 \pm 1.6)\cdot 10^-6 \approx 0$ ${{\tau^o}\over{\tau^+}}\cdot 2B(B^+ \rightarrow K^+ \pi^o) - B(B^o \rightarrow K^+ \pi^-) = (4.7 \pm 0.82)\cdot 10^-6 \not= 0$ This contrast between pure I=1/2 observed in individual charged and neutral final states and I=1/2 violation in relations between them is unexpected in previous treatments. Pauli blocking predicts this contrast by noting that two identical $u$ quarks in a relative s-wave are Pauli blocked. Tree diagram $\bar b\rightarrow \bar s u \bar u$ for $\bar b$ producing $u$ quark at weak vertex and tree-penguin interference producing CP violation are Pauli suppressed for $B^+$ decays with identical $u$ quark spectator. No suppression in $B^o$ decays with spectator $d$ quark. $B\rightarrow K\pi$ data analysis discards all amplitudes containing two identical $u$ quarks in final state and predicts observed isospin relations by using only Pauli-favored amplitudes ${B_u}\rightarrow \bar s du \bar d$ and ${B_d}\rightarrow \bar s ud \bar u$. Pauli-favored transitions explain dependence on flavor of spectator quark which does not participate in the weak interaction.