$|V_{td} / V_{ts}|$ from $B \to V \gamma$ - INSPIRE

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$|V_{td} / V_{ts}|$ from $B \to V \gamma$

Patricia Ball
(
- Durham U., IPPP and
- CERN
)
,
Roman Zwicky
(
- Durham U., IPPP
)

Mar, 2006

22 pages

Published in:

JHEP 04 (2006) 046

e-Print:

hep-ph/0603232 [hep-ph]

DOI:

10.1088/1126-6708/2006/04/046

Report number:

IPPP-06-16,
DCPT-06-32,
CERN-PH-TH-2006-050

View in:

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Abstract:

The dominant theoretical uncertainty in extracting |V_td/V_ts| from the ratio of branching ratios R=B(B->(rho,omega)gamma)/B(B->K* gamma) is given by the ratio of form factors xi=T_1^{B->K*}(0)/T_1^{B->rho}(0). We re-examine xi in the framework of QCD sum rules on the light-cone, taking into account hitherto neglected SU(3)-breaking effects. We find xi=1.17 \pm 0.09. Using QCD factorisation for the branching ratios, and the current experimental average for R quoted by HFAG, this translates into |V_td/V_ts|^HFAG_{B->V gamma} = 0.192 \pm 0.014(th) \pm 0.016(exp). This result agrees, within errors, with that obtained from the Standard Model unitarity triangle, |V_td/V_ts|_SM = 0.216 \pm 0.029, based on tree-level-only processes, and with |V_td/V_ts|_{Delta m} = 0.2060^{+0.0081}_{-0.0060}(th) \pm 0.0007(exp), from the CDF measurement of B_s oscillations.

B: radiative decay
B: branching ratio
CKM matrix: ratio
form factor: ratio
quantum chromodynamics: sum rule
quantum chromodynamics: factorization
symmetry breaking: SU(3)
amplitude analysis: light cone
twist: 2
numerical calculations

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Figures(0)

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