25 research outputs found

    Light-cone sum rules for BπB \to \pi form factors revisited

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    We reconsider and update the QCD light-cone sum rules for BπB\to \pi form factors. The gluon radiative corrections to the twist-2 and twist-3 terms in the correlation functions are calculated. The MSˉ\bar{MS} bb-quark mass is employed, instead of the one-loop pole mass used in the previous analyses. The light-cone sum rule for fBπ+(q2)f^+_{B\pi}(q^2) is fitted to the measured q2q^2-distribution in BπlνlB\to \pi l \nu_l, fixing the input parameters with the largest uncertainty: the Gegenbauer moments of the pion distribution amplitude. For the BπB\to \pi vector form factor at zero momentum transfer we predict fBπ+(0)=0.260.03+0.04f^+_{B\pi}(0)= 0.26^{+0.04}_{-0.03}. Combining it with the value of the product VubfBπ+(0)|V_{ub}f^+_{B\pi}(0)| extracted from experiment, we obtain Vub=(3.5±0.4±0.2±0.1)×103|V_{ub}|=(3.5\pm 0.4\pm 0.2\pm 0.1) \times 10^{-3}. In addition, the scalar and penguin BπB\to \pi form factors fBπ0(q2)f^0_{B\pi}(q^2) and fBπT(q2)f^T_{B\pi}(q^2) are calculated.Comment: 33 pages, 7 figures, one figure and a few comments added, version to appear in JHE

    Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation

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    We use various methods of Borel integration to calculate the binding ground energies and masses of b-bbar and t-tbar quarkonia. The methods take into account the leading infrared renormalon structure of the hard+soft part of the binding energies E(s), and of the corresponding quark pole masses m_q, where the contributions of these singularities in M(s) = 2 m_q + E(s) cancel. Beforehand, we carry out the separation of the binding energy into its hard+soft and ultrasoft parts. The resummation formalisms are applied to expansions of m_q and E(s) in terms of quantities which do not involve renormalon ambiguity, such as MSbar quark mass, and alpha_s. The renormalization scales are different in calculations of m_q, E(s) and E(us). The MSbar mass of b quark is extracted, and the binding energies of t-tbar and the peak (resonance) energies for (t+tbar) production are obtained.Comment: 23 pages, 8 double figures, revtex4; the version to appear in Phys.Rev.D; extended discussion between Eqs.(25) and (26); the paragraph between Eqs.(32) and (33) is new and explains the numerical dependence of the residue parameter on the factorization scale; several new references were added; acknowledgments were modified; the numerical results are unchange

    Couplings of heavy hadrons with soft pions from QCD sum rules

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