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      Uncertainties in Estimating Hadronic Production of the Meson B_c and Comparisons between TEVATRON and LHC

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          Abstract

          The uncertainties in estimating the hadronic production of the \(B_c\) meson are studied under the framework of the complete \(\alpha_s^4\) approach of the perturbative QCD and the gluon-gluon fusion mechanism. Quantitative comparisons on the production at TEVATRON and LHC are made. Considering the detectors at TEVATRON and LHC, we have also estimated the production with proper kinematic cuts. Based on the results, we conclude that the experimental studies of the \(B_c\) meson at the two colliders will be complimentary and stimulative. We find that as c.m. energy is increasing from RUN-I to RUN-II at TEVATRON, the production cross-section increases about 20%.

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          The \(B_c\) Meson Lifetime

          We investigate the total inclusive decay rate of the (ground state) \(B_c\) meson within the framework of an operator product expansion in inverse powers of the heavy quark masses and subsequent matching onto nonrelativistic QCD. The expansion is organized as a series in the strong coupling and in powers of the heavy quark velocities in the \(B_c\), reflecting the nonrelativistic nature of a heavy-heavy bound state. In this aspect the character of the expansion differs from the more familiar case of heavy-light mesons. The framework incorporates systematically corrections to the leading \(b\)- and \(c\)-quark decays due to binding effects, as well as contributions from weak annihilation and Pauli interference. Based on this approach we find for the \(B_c\) meson lifetime \(\tau_{B_c}=(0.4 - 0.7)\,\)ps, the dominant mechanism being the decay of the charm constituent.
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            The lifetime of B_c-meson and some relevant problems

            The lifetime of the B_c-meson is estimated with consistent considerations on all of the heavy mesons (\(B^0, B^\pm, B_s, D^0, D^\pm D_s\)) and the double heavy meson B_c. In the estimate, the framework, where the non-spectator effects for nonleptonic decays are taken into account properly, is adopted, and the parameters needed to be fixed are treated carefully and determined by fitting the available data. The bound-state effects in it are also considered. We find that in decays of the meson B_c, the QCD correction terms of the penguin diagrams and the main component terms c_1O_1, c_2O_2 of the effective interaction Lagrangian have direct interference that causes an enhancement about 3 ~ 4% in the total width of the B_c meson.
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              Author and article information

              Journal
              11 September 2003
              2004-09-24
              Article
              10.1140/epjc/s2004-02015-0
              hep-ph/0309121
              6ebe5851-04d9-478f-8840-a098d848aef0
              History
              Custom metadata
              Eur.Phys.J.C38:267-276,2004
              22 page, 11 figures, for the revised version the contents (figures and text) are revised and a few references are added
              hep-ph hep-ex

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