B^0_{d,s} - \bar{B}^0_{d,s} mass-differences from QCD spectral sum rules

Details B^0_{d,s} - \bar{B}^0_{d,s} mass-differences from QCD spectral sum rules B^0_{d,s} - \bar{B}^0_{d,s} mass-differences from QCD spectral sum rules

2002-05-10

arxiv.org/abs/hep-ph/0205092v2

Phys.Lett. B540 (2002) 233-240

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages with 2 figures, uses espcrc2.sty. Version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(02)02133-0

We present the first QCD spectral sum rules analysis of the SU(3) breaking parameter \xi and an improved estimate of the renormalization group invariant (RGI) bag constant \hat{B}_{B_q} both entering into the B^0_{d,s} - \bar{B}^0_{d,s} mass-differences. The averages of the results from the Laplace and moment sum rules to order \alpha_s are f_B\sqrt{\hat B_B} \simeq (247 \pm 59) MeV and \xi \equiv f_{B_s} \sqrt{\hat B_{B_s}} / f_{B} \sqrt{\hat B_{B}} \simeq (1.18\pm 0.03), in units where f_\pi=130.7 MeV. Combined with the experimental data on the mass-differences \Delta M_{d,s}, one obtains the constraint on the CKM weak mixing angle |V_{ts}/V_{td}|^2 > 20.0 (1.1). Alternatively, using the weak mixing angle from the analysis of the unitarity triangle and the data on \Delta M_d, one predicts \Delta M_s=18.6 (2.2) ps^{-1} in agreement with the present experimental lower bound and within the reach of Tevatron 2.

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