Perturbative Corrections to a Sum Rule for the Heavy Quark Kinetic Energy

Details Perturbative Corrections to a Sum Rule for the Heavy Quark Kinetic Energy Perturbative Corrections to a Sum Rule for the Heavy Quark Kinetic Energy

1997-02-14

arxiv.org/abs/hep-ph/9702341v1

Phys.Lett.B403:323-328,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages revtex, uses FEYNMAN

Scientific paper

10.1016/S0370-2693(97)00539-X

We calculate the perturbative corrections to order \alpha_s^2\beta_0 to the sum rule derived from the second moment of the time-ordered product of b \to c currents near zero recoil. This sum rule yields a bound on \lambda_1, the expectation value of the b quark kinetic energy operator inside the B meson. The perturbative corrections significantly weaken the bound relative to the tree level result, yielding \lambda_1 < -0.15 GeV^2.

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