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Third order correction to semileptonic bto u decay: fermionic contributions

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arxiv 2310.03685 v2 pith:GSMLODCR submitted 2023-10-05 hep-ph

Third order correction to semileptonic bto u decay: fermionic contributions

classification hep-ph
keywords contributionsdecayfermionicintegralsorderratesemileptonicaccuracy
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the QCD corrections of order $\alpha_s^3$ to the decay rate of $b \to u \ell \bar \nu_\ell$, with $\ell = e,\mu$, originating from diagrams with closed fermion loops and neglecting the mass of the up quark. Our calculation relies on integration-by-parts reduction of Feynman integrals with one propagator raised to a symbolic power in Kira and the numerical evaluation of master integrals with AMFlow. This allows us to obtain results for the fermionic contributions to the total semileptonic rate with an accuracy of more than thirty digits.

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Cited by 2 Pith papers

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    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.

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    hep-ph 2026-07 accept novelty 6.0

    Complete NLO QCD corrections to charmless inclusive non-leptonic B-decay widths are computed for the full BSM operator set, yielding 26 constrained directions in Wilson coefficient space.