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Form factors of B, Bs -> eta, eta' and D, Ds -> eta, eta' transitions from QCD light-cone sum rules

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(21.08.2015)

Аннотация

In the framework of the QCD light-cone sum rules (LCSRs) we present the analysis of all \$B, B\_s\eta^(\prime)\$ and \$D, D\_s\eta^(\prime)\$ form factors (\$f^+, f^0\$ and \$f^T\$) by including \$m\_\eta^(\prime)^2\$ corrections in the leading (up to the twist-four) and next-to-leading order (up to the twist-three) in QCD, and two-gluon contributions to the form factors at the leading twist. The SU(3)-flavour breaking corrections and the axial anomaly contributions to the distribution amplitudes are also consistently taken into account. The complete results for the \$f^0\$ and \$f^T\$ form factors of \$B,B\_s \eta^(\prime)\$ and \$D, D\_s \eta^(\prime)\$ relevant for processes like \$B \eta^(\prime) \nu\_\tau\$ or \$B\_s \eta^(\prime) l^+ l^-\$ are given for the first time, as well as the two-gluon contribution to the tensor form factors. The values obtained for the \$f^+\$ form factors are as follows: \$f^+\_B\eta(0)= 0.168^+0.042\_-0.047\$, \$|f^+\_B\_s\eta(0)|= 0.212^+0.015\_-0.013\$, \$f^+\_B\eta^\prime(0)= 0.130^+0.036\_-0.032\$, \$f^+\_B\_s\eta^\prime(0)= 0.252^+0.023\_-0.020\$ and \$f^+\_D\eta(0)= 0.429^+0.165\_-0.141\$, \$|f^+\_D\_s\eta(0)|= 0.495^+0.030\_-0.029\$, \$f^+\_D\eta^\prime(0)= 0.292^+0.113\_-0.104\$, \$f^+\_D\_s\eta^\prime(0)= 0.558^+0.047\_-0.045\$. Also phenomenological predictions for semileptonic \$B, B\_s\eta^(\prime)\$ and \$D, D\_s\eta^(\prime)\$ decay modes are given.

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