SU(3) and CP violating weak and strong final state phases for B_d⁰ and B_s⁰ decays

2006/07/28 by Fayyazuddin
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0607310

17 pages, 2 figures; Abstract and results are modified

arxiv created 2007/02/15 · arxiv updated 2009/12/01

Abstract

Using rotation in SU(3) space, a set of relations between various decay modes of B_d and B_s are derived. The decays barB_d⁰-> K^*-pi ⁺(rho ⁺K^-), barB_s⁰-> K^*-K⁺ are expressed in terms of decay parameters of barB_d⁰->rho ^-pi ⁺(rho ⁺π^-). In particular the parameters r_-+(r_+-) of B_d->rho πdecays are obtained in terms of experimentally known decay rates R_-+(R_+-)=frac12left(Gamma_{rho ⁺pi ^-(rho ^-pi ⁺)}+\ar\amma_{\ho ^-pi ⁺(rho ⁺pi ^-)}), R_-+^prime(R_+-^prime)=frac12left(Gamma_{K^*+pi ^-(rho ^-K⁺)}+barGamma_{K^*-π⁺(rho ⁺K^-)}), known parameters barlambda, f_K^*/f_rho(f_K/f_pi) and two parameters B_-+=fracR_-+left| T^-+right| ²,B_+-=fracR_+-| T^+-| ² which are determined by using factorization for tree amplitudes T^-+ and T^+-. We find r_-+=0.21pm 0.04,r_+-=0.25pm 0.06. With these values the following bounds on left(z≡ cos γcos δ, x=sin γsin δ) are derived: [-0.34(-0.33)≤ z_-+(z_+-)≤ 0.28(0.27) ] and [0.16(0.43)≤ x_-+(x_+-)≤ 0.58(1.00) ] From (x,z) plot we obtain following bounds on weak phase gamma and strong phases δ^primes z_-+>0,gamma geq 70^circ,10^circ leq δ_-+≤ 40^circ, z_-+<0,gamma geq 65^∘, (180-δ_-+). For δ_+- we get 25^∘leq δ_+-≤ 90^circ or (180-delta_+-).

Related

• Determining weak phases using B->D^*V Decays
• A Fresh Look at B_s,d -> pi pi, pi K, K K Decays
• Using B_d⁰, B_s⁰ Decays at Hadronic B-Factories to Determine CP Angles alpha and beta
• Determining Strong and Weak Phases in B_d -> D^(*)± D^(*)∓ Decays
• Constraints on γ and Strong Phases from B→πK Decays