Extracting the quark mixing phase<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>γ</mml:mi></mml:math>from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mo>±</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>K</mml:mi><mml:mo>±</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo>→</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mn>0</mml:mn></mml:msup><mml:mo>→</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>

200714 citationsJournal Articlegreen Open Access

Authors

I. Bediaga · Centro Brasileiro de Pesquisas Físicas

Gabriel Guerrer · Centro Brasileiro de Pesquisas Físicas

Jussara M. de Miranda · Centro Brasileiro de Pesquisas Físicas

Abstract

We discuss some aspects of the search for $CP$ asymmetry in the three body $B$ decays, revealed through the interference among neighbor resonances in the Dalitz plot. We propose a competitive method to extract the CKM $\ensuremath{\gamma}$ angle combining Dalitz plot amplitude analysis of ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{K}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and untagged ${B}^{0}$, ${\overline{B}}^{0}\ensuremath{\rightarrow}{K}_{s}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$. The method also obtains the ratio and phase difference between the tree and penguin contributions from ${B}^{0}$ and ${\overline{B}}^{0}\ensuremath{\rightarrow}{K}^{*\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{\ensuremath{\mp}}$ decays and the $CP$ asymmetry between ${B}^{0}$ and ${\overline{B}}^{0}$. From Monte Carlo studies of 100 K events for the neutral mesons, we show the possibility of measuring $\ensuremath{\gamma}$.

Topics & Keywords

Particle physics theoretical and experimental studies Quantum Chromodynamics and Particle Interactions High-Energy Particle Collisions Research

Publication Details

Published in: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology

Volume 76, Issue 7

DOI: 10.1103/physrevd.76.073011

Field-Weighted Citation Impact: 1.14

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Publication Details