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B->pi and B->K Transitions from QCD Sum Rules on the Light-Cone

Patricia Ball

Abstract

I calculate the form factors describing semileptonic and penguin-induced decays of B mesons into light pseudoscalar mesons. The form factors are calculated from QCD sum rules on the light-cone including contributions up to twist 4, radiative corrections to the leading twist contribution and SU(3)-breaking effects. The theoretical uncertainty is estimated to be \sim 15%. The heavy-quark-limit relations between semileptonic and penguin form factors are found to be valid in the full accessible range of momentum transfer.

B->pi and B->K Transitions from QCD Sum Rules on the Light-Cone

Abstract

I calculate the form factors describing semileptonic and penguin-induced decays of B mesons into light pseudoscalar mesons. The form factors are calculated from QCD sum rules on the light-cone including contributions up to twist 4, radiative corrections to the leading twist contribution and SU(3)-breaking effects. The theoretical uncertainty is estimated to be \sim 15%. The heavy-quark-limit relations between semileptonic and penguin form factors are found to be valid in the full accessible range of momentum transfer.

Paper Structure

This paper contains 19 equations, 3 figures, 1 table.

Figures (3)

  • Figure 1: Form factors from light-cone sum rules in various approximations.
  • Figure 2: Isgur-Wise relation (\ref{['eq:IW']}) between penguin and semileptonic form factors.
  • Figure 3: Dependence of $f_+^\pi$ on the twist 2 $\pi$ distribution amplitude.