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Four-Loop Anomalous Dimensions for Radiative Flavour-Changing Decays

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arxiv hep-ph/0612329 v1 pith:LETZOIVP submitted 2006-12-27 hep-ph

classification hep-ph
keywords anomalousflavour-changingfour-loopgammaqbar-qalphaamountsaround
verification ladder T0 review T1 audit T2 compute T3 formal
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We evaluate the complete four-loop anomalous dimension matrix that is necessary for determining the effective flavour-changing neutral current couplings qbar-q'-gamma and qbar-q'-g at the next-to-next-to-leading order in QCD. The resulting O(alpha_s^2(mu_b)) correction to the B -> X_s gamma branching ratio amounts to around -2.9% for mu_b = 5 GeV, and -4.4% for mu_b = 2.5 GeV

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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

  1. The photon-energy spectrum in $B\to X_s\gamma$ to N$^3$LO: light-fermion and large-$N_{\rm c}$ corrections

    hep-ph 2026-03 unverdicted novelty 8.0 of 10

    N3LO calculation of the B to Xs gamma photon spectrum including complete light-fermion corrections, two massive fermion loops, and large-Nc terms, with improved results in kinetic and MSR mass schemes.

  2. HyperIso: A general BSM calculator for flavour observables

    hep-ph 2026-07 conditional novelty 6.0 of 10

    HyperIso is a new modular software tool that computes flavour observables and BSM Wilson coefficients, validated against SuperIso and MARTY, with a copula-based uncertainty engine.

  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. Radiative B to tensor meson decays at NLO in SCET

    hep-ph 2025-05 conditional novelty 4.0 of 10

    An NLO SCET calculation predicts B(B to K2*(1430) gamma) = (16.7 ± 6.4 ± 1.2) × 10^-6, close to the experimental average, with much smaller predictions for the a2 and f2 modes.

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