Revisiting the pure annihilation decays $B_s\to \pi^+ \pi^-$ and $B^0 \to K^+ K^-$: the data and the pQCD predictions - INSPIRE

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Revisiting the pure annihilation decays $B_s\to \pi^+ \pi^-$ and $B^0 \to K^+ K^-$ : the data and the pQCD predictions

Nov, 2011

10 pages

Published in:

Phys.Rev.D 85 (2012) 094003

e-Print:

1111.6264 [hep-ph]

DOI:

10.1103/PhysRevD.85.094003

View in:

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Abstract: (arXiv)

In this work, we recalculate the charmless pure annihilation decays

B_s\to \pi^+ \pi^-

and

B^0 \to K^+ K^-

by using the perturbative QCD (pQCD) factorization approach, and compare the pQCD predictions with currently available experimental measurements. We used the same set of relevant input parameters and wave functions to make the calculations for the considered decay modes and found the following results: (a) one can provide a consistent pQCD interpretation for both the measured

Br(B_s^0 \to \pi^+ \pi^-)

and

Br(B_d^0 \to K^+ K^-)

simultaneously; (b) the pQCD predictions for

Br(B_s^0 \to \pi^+\pi^-)

obtained by different authors are well consistent with each other; (c) our new pQCD prediction for

Br(B_d^0 \to K^+K^-)

agree very well with the measured values from CDF and LHCb Collaboration; and (d) the CP-violating asymmetry

{\cal A}_{CP}(B_d^0 \to K^+K^-) \approx 16%

, which is large and may be detected at the LHCb experiment.

Note:

11 pages, 1 ps figure, more discussions are made, some parts of the manuscript have been rewritten, several new references are added, several typos removed. To be published in Phys. Rev. D

12.38.Bx
13.25.Hw
14.40.Nd
quantum chromodynamics: perturbation theory
CP: violation
annihilation
LHC-B
wave function
factorization
decay modes

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