Implication of the B ---> (rho, omega) gamma branching ratios for the CKM phenomenology

Ali, Ahmed; Lunghi, Enrico; Parkhomenko, Alexander Ya.

doi:10.1016/j.physletb.2004.06.039

Implication of the B ---> (rho, omega) gamma branching ratios for the CKM phenomenology

May, 2004

20 pages

Published in:

Phys.Lett.B 595 (2004) 323-338

e-Print:

hep-ph/0405075 [hep-ph]

DOI:

10.1016/j.physletb.2004.06.039

Report number:

DESY-04-065,
ZU-TH-06-04

View in:

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Abstract:

We study the implication of the recent measurement by the BELLE collaboration of the averaged branching fraction

\bar B_{exp} [B \to (\rho, \omega) \gamma] = (1.8^{+0.6}_{-0.5} \pm 0.1) \times 10^{-6}

for the CKM phenomenology. Combined with the averaged branching fraction

\bar B_{exp} (B \to K^* \gamma) = (4.06 \pm 0.26) \times 10^{-5}

measured earlier, this yields

\bar R_{exp} [(\rho, \omega) \gamma/K^* \gamma] = (4.2 \pm 1.3)%

for the ratio of the two branching fractions. Updating earlier theoretical analysis of these decays based on the QCD factorization framework, and constraining the CKM-Wolfenstein parameters from the unitarity fits, our results yield

\bar B_{th} [B \to (\rho, \omega) \gamma] = (1.38 \pm 0.42) \times 10^{-6}

and

\bar R_{th} [(\rho, \omega) \gamma/K^* \gamma] = (3.3 \pm 1.0)%

, in agreement with the BELLE data. Leaving instead the CKM-Wolfenstein parameters free, our analysis gives (at 68% C.L.)

0.16\leq |V_{td}/V_{ts}| \leq 0.29

, which is in agreement with but less precise than the indirect CKM-unitarity fit of the same,

0.18 \leq |V_{td}/V_{ts}| \leq 0.22

. The isospin-violating ratio in the

B \to \rho \gamma

decays and the SU(3)-violating ratio in the

B_d^0 \to (\rho^0, \omega) \gamma

decays are presented together with estimates of the direct and mixing-induced CP-asymmetries in the

B \to (\rho,\omega) \gamma

decays within the SM. Their measurements will overconstrain the angle

\alpha

of the CKM-unitarity triangle.

B: radiative decay
rho(770)0
omega(783)
B: branching ratio
CKM matrix matrix
isospin: violation
symmetry breaking: SU(3)
CP: violation
numerical calculations
interpretation of experiments: BELLE

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