4.7 Article

Next-to-leading-logarithm kT resummation for Bc → J/ψ decays

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PHYSICS LETTERS B
卷 811, 期 -, 页码 -

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ELSEVIER
DOI: 10.1016/j.physletb.2020.135892

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资金

  1. Ministry of Science and Technology of R.O.C. [MOST-107-2119-M-001-035-MY3]
  2. National Natural Science Foundation of China [11875033, 11775117]
  3. Qing Lan project of Jiangsu Province [9212218405]
  4. Research Fund of Jiangsu Normal University [HB2016004]

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We derive the k(T) resummation for a transverse-momentum-dependent charmonium wave function, which involves the bottom quark mass mb, the charm quark mass m(b), and the charm quark transverse momentum k(T), up to the next-to-leading-logarithm (NLL) accuracy under the hierarchy mb >> m(c) >> k(T). The resultant Sudakov factor is employed in the perturbative QCD (PQCD) approach to the B-c -> J/psi transition form factor A(0)(Bc) (->)( J/psi) (0) and the B-c(+) -> J/psi pi(+) decay. We compare the NLL resummation effect on these processes with the leading-logarithm one in the literature, and find a (5 - 10)% enhancement to the form factor A(0)(Bc) (-> J/psi) (0) and a (10 - 20)% enhancement to the decay rate BR(B-c(+) -> J/psi pi(+)). The improved k(T) resummation formalism is applicable to the PQCD analysis of heavy meson decays to other charmonia. (C) 2020 The Author(s). Published by Elsevier B.V.

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