Effective Hamiltonian for {ital B}{r_arrow}{ital X}{sub {ital s}}{ital e}{sup +}{ital e}{sup {minus}} beyond leading logarithms in the naive dimensional regularization and `t Hooft--Veltman schemes
- Physik Department, Technische Universitaet Muenchen, D-85748 Garching (Germany)
We calculate the next-to-leading QCD corrections to the effective Hamiltonian for {ital B}{r_arrow}{ital X}{sub {ital s}}{ital e}{sup +}{ital e}{sup {minus}} in the NDR and tHV schemes. We give for the first time analytic expressions for the Wilson coefficient of the operator {ital Q}{sub 9}=({ital {bar s}b}){sub {ital V}{minus}{ital A}}({ital {bar e}e}){sub {ital V}} in the NDR and HV schemes. Calculating the relevant matrix elements of local operators in the spectator model we demonstrate the scheme independence of the resulting short-distance contribution to the physical amplitude. Keeping consistently only leading and next-to-leading terms, we find an analytic formula for the differential dilepton invariant mass distribution in the spectator model. A numerical analysis of the {ital m}{sub {ital t}}, {Lambda}{sub M}{bar S}, and {mu}={ital O}({ital m}{sub {ital b}}) dependences of this formula is presented. We compare our results with those given in the literature.
- OSTI ID:
- 69089
- Journal Information:
- Physical Review, D, Vol. 52, Issue 1; Other Information: PBD: 1 Jul 1995
- Country of Publication:
- United States
- Language:
- English
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