Abstract

CP asymmetries in B0(t)→π+π− are studied by relating this process in broken flavor SU(3) with B+→K0π+ and B0→K+π−. Using two different scenarios for SU(3) breaking, we show that the range of values of the weak phase α permitted by the measured asymmetries overlaps with that obtained from other CKM constraints, supporting the KM origin of the asymmetries. We evaluate the potential precision of this method to improve the determination of α.

Highlights

  • CP asymmetries in B0(t) → π+π− are studied by relating this process in broken flavor SU(3) with B+ → K0π+ and B0 → K+π−

  • Using two different scenarios for SU(3) breaking, we show that the range of values of the weak phase α permitted by the measured asymmetries overlaps with that obtained from other CKM constraints, supporting the KM origin of the asymmetries

  • An extraction of α from the CP asymmetry in B0 → π+π− is obstructed by the effect of a penguin amplitude [3, 6]

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Summary

Introduction

CP asymmetries in B0(t) → π+π− are studied by relating this process in broken flavor SU(3) with B+ → K0π+ and B0 → K+π−. Using two different scenarios for SU(3) breaking, we show that the range of values of the weak phase α permitted by the measured asymmetries overlaps with that obtained from other CKM constraints, supporting the KM origin of the asymmetries.

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