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

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arxiv hep-ph/9307364 v2 pith:EYXXRR3A submitted 1993-07-29 hep-ph

classification hep-ph
keywords rightarrowschemeeffectivehamiltoniancoefficientscontributionsgammaindependent
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  3. Precision tests of third-generation four-quark operators: $gg \to h$ and $h \to \gamma \gamma$

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Two-loop SMEFT corrections from third-generation four-quark operators to gg to h and h to gamma gamma are computed with full mass dependence, including new two-loop anomalous dimensions.

  4. Constraining four-heavy-quark operators with top-quark, Higgs, and electroweak precision data

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A combined fit of LHC and LEP data constrains the five four-heavy-quark Wilson coefficients, and shows that gamma5-scheme choices can shift the resulting bounds.

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