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B → η(') form factors in QCD

Patricia Ball and Gareth W. Jones

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We calculate the semileptonic form factors f+B→η(q2) and f+B→η'(q2) from QCD sum rules on the light-cone (LCSRs), to NLO in QCD, and for small to moderate q2, 0 ≤ q2 ≤ 16 GeV2. We include in particular the so-called singlet contribution, i.e. weak annihilation of the B meson with the emission of two gluons which, thanks to the U(1)A anomaly, couple directly to η('). This effect is included to leading-twist accuracy. This contribution has been neglected in previous calculations of the form factors from LCSRs. We find that the singlet contribution to f+B→η' can be up to 20%, while that to f+B→η is, as expected, much smaller and below 3%. We also suggest to measure the ratio Script B(B → η'eν)/Script B(B → ηeν) to better constrain the size of the singlet contribution.

Keywords

B-Physics

Phenomenological Models

Weak Decays

Sum Rules

 

E-print Number: 0706.3628

Cited: by |

Refers: to

PACS

13.40.Gp Electromagnetic form factors

12.38.Bx Perturbative calculations

14.70.Dj Gluons

11.55.Hx Sum rules

14.40.Nd Bottom mesons

13.20.Jf Decays of other mesons

Subjects

Particle physics and field theory

Dates

Issue 08 (August 2007)

Received 27 June 2007, accepted for publication 4 August 2007

Published 8 August 2007



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