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$B_{s}^{0} ({\bar{B}}_{s}^{0}) \to D_{C P}^{0} K \bar{K}$ : Detecting and discriminating new physics in $B_{s}^{0} − {\bar{B}}_{s}^{0}$ mixing

Physique des Particules, Université de Montréal, C.P. 6128, succ. centre-ville, Montréal, QC, Canada H3C 3J7

Phys. Rev. D 85, 114015 – Published 8 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.114015

Abstract

If the weak phase of $B_{s}^{0} − {\bar{B}}_{s}^{0}$ mixing ( $2 β_{s}$ ) is found to be significantly different from zero, this is a clear signal of new physics (NP). However, if such a signal is found, we would like an unambiguous determination of $2 β_{s}$ in order to ascertain which NP models could be responsible. In addition, in the presence of NP, the width difference $Δ Γ_{s}$ between the two $B_{s}$ mass eigenstates can be positive or negative, and ideally this sign ambiguity should be resolved experimentally. Finally, in order to see if the NP is contributing to $Γ_{12}^{s}$ in addition to $M_{12}^{s}$ , the precise measurement of $| Γ_{12}^{s} |$ is crucial. In this paper, we consider several different methods of measuring $2 β_{s}$ using penguin-free two- and three-body decays with $\bar{b} \to \bar{c} u \bar{s}$ and $\bar{b} \to \bar{u} c \bar{s}$ transitions. We find that the most promising of these is a time-dependent Dalitz-plot analysis of $B_{s}^{0} ({\bar{B}}_{s}^{0}) \to D_{C P}^{0} K \bar{K}$ . With this decay, the unambiguous measurements of $2 β_{s}$ and $Δ Γ_{s}$ are possible, and the weak phase $γ$ can also be extracted.

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$B_{s}^{0} ({\bar{B}}_{s}^{0}) \to D_{C P}^{0} K \bar{K}$ : Detecting and discriminating new physics in $B_{s}^{0} − {\bar{B}}_{s}^{0}$ mixing

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Bs0(B¯s0)→DCP0KK¯: Detecting and discriminating new physics in Bs0−B¯s0 mixing

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$B_{s}^{0} ({\bar{B}}_{s}^{0}) \to D_{C P}^{0} K \bar{K}$ : Detecting and discriminating new physics in $B_{s}^{0} − {\bar{B}}_{s}^{0}$ mixing