Bc meson production at the Tevatron revisited

Abstract

CDF recently measured the quantity σ(B c +) σ(B +) BR(B c +→J/ψℓ +ν) BR(B +→J/ψK +) , from which we determine the ratio σ(B c +) σ( b ̄ ) to be (2.08 +1.06 −0.95)×10 −3. In this note, we show that the ratio σ(B c +) σ( b ̄ ) obtained by dividing the σ( B c +) by the leading order σ( b ̄ ) is consistent with this derived CDF measurement. We calculate the cross section σ( B c +) using the perturbative QCD fragmentation functions of Braaten, Cheung, and Yuan and the corresponding induced gluon fragmentation functions, with the charm-quark mass m c as a parameter. We also estimate the parameter m c from the CDF data and then predict the production rate at RunII.