Scheme Independence of the Effective Hamiltonian for $b \rightarrow s \, γ$ and $b \rightarrow s \, g$ Decays

Details Scheme Independence of the Effective Hamiltonian for $b \rightarrow s \, γ$ and $b \rightarrow s \, g$ Decays Scheme Independence of the Effective Hamiltonian for $b \rightarrow s \, γ$ and $b \rightarrow s \, g$ Decays

1993-07-29

arxiv.org/abs/hep-ph/9307364v2

Phys.Lett.B316:127-136,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pp + 5 figures not included (available by anonymous ftp at amisan.iss.infn.it (141.108.15.215), directory /ftp/bsgamma), La

Scientific paper

10.1016/0370-2693(93)90668-8

We present a calculation of the effective weak Hamiltonian which governs $b \rightarrow s\, \gamma$ and $b \rightarrow s \, g$ transitions in two different renormalization schemes (NDR and HV). In the leading logarithmic approximation, we show that the coefficients of the effective Hamiltonian are scheme independent only when one takes correctly into account the scheme dependence of one- and two- loop diagrams. We demonstrate that in NDR there are contributions which were missed in previous calculations. These contributions are necessary to obtain scheme independent coefficients in the final results.

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