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29 March 2024
 
  » arxiv » hep-ph/0403275

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An Analysis of the Time-Dependent CP Asymmetry in $B o pi pi$ Decays in the Standard Model
A. Ali ; E. Lunghi ; A.Ya. Parkhomenko ;
Date 28 Mar 2004
Journal Eur.Phys.J. C36 (2004) 183-200
Subject hep-ph hep-ex
AffiliationDESY), E. Lunghi (Univ. Zurich), A.Ya. Parkhomenko (Univ. Bern
AbstractMeasurements of the time-dependent CP asymmetry in the decay $B^0_d (t) o pi^+ pi^-$ and its charge conjugate by the BELLE and BABAR collaborations currently yield $C_{pi pi}^{+-} = -0.46 pm 0.13$ and $S_{pi pi}^{+-} = -0.74 pm 0.16$, characterizing the direct and mixing-induced CP asymmetries, respectively. We study the implication of these measurements on the CKM phenomenology taking into account the available information in the quark mixing sector. Our analysis leads to the results that the ratio $|P_c/T_c|$ involving the QCD-penguin and tree amplitudes and the related strong phase difference $delta_c = delta_c^P - delta_c^T$ in the $B^0_d/ar{B}_d^0 o pi^+ pi^-$ decays are quite substantial. Using the isospin symmetry to constrain $|P_c/T_c|$ and $cos (2 heta)$, where $2 heta$ parameterizes the penguin-induced contribution, we present a fit of the current data including the measurements of $S_{pipi}^{+-}$ and $C_{pipi}^{+-}$. Our best-fits yield: $alpha = 92^circ$, $eta = 24^circ$, $gamma = 64^circ$, $|P_c/T_c| = 0.77$, and $delta_c = -43^circ$. At 68% C.L., the ranges are: $81^circ leq alpha leq 103^circ$, $21.9^circ leq eta leq 25.5^circ$, $54^circ leq gamma leq 75^circ$, $0.43 leq |P_c/T_c| leq 1.35$ and $-64^circ leq delta_c leq -29^circ$. Currently {it en vogue} dynamical approaches to estimate the hadronic matrix elements in $B o pipi$ decays do not provide a good fit of the current data.
Source arXiv, hep-ph/0403275
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