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NLO corrections to $h\to b\bar b$ decay in SMEFT

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arxiv 1904.06358 v2 pith:F46D4G6Y submitted 2019-04-12 hep-ph

Jonathan M. Cullen , Benjamin D. Pecjak , Darren J. Scott This is my paper · ORCID
classification hep-ph
keywords decaysmeftcorrectionschargedimension-6effectiveelectricfield
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We calculate the full set of next-to-leading order (NLO) corrections to $h\to b\bar{b}$ decay in the dimension-6 Standard Model Effective Field Theory (SMEFT). Our calculation forms the basis for precision studies of this decay mode in effective field theory, providing analytic and numerical results for contributions of the 45 dimension-6 operators appearing at NLO. On the technical side, we discuss several complications in NLO SMEFT computations which have not yet been addressed in the literature. These include subtleties in Higgs-$Z$ mixing, electric charge renormalization, and especially the treatment of tadpoles in SMEFT. In particular, we highlight the role of decoupling relations in eliminating potentially large tadpole corrections to the decay rate in hybrid renormalization schemes which employ the $\overline{\hbox{MS}}$~scheme for some Standard Model parameters (such as the $b$-quark mass and electric charge) and the on-shell scheme for others.

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Cited by 3 Pith papers

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

  1. Low-energy effective field theory below the electroweak scale: matching at one loop

    hep-ph 2019-08 accept novelty 8.0 of 10

    The complete one-loop matching equations between the SMEFT and the low-energy EFT below the electroweak scale are derived up to dimension six, including CP-odd operators and theta-angle matching, for general flavor st...

  2. Electroweak and QCD Corrections to $Z$ and $W$ pole observables in the SMEFT

    hep-ph 2019-09 conditional novelty 7.0 of 10

    The complete NLO electroweak and QCD corrections to Z and W pole observables in the SMEFT shift fitted Wilson coefficient bounds by 5 to 10 percent and introduce 22 new operator dependencies.

  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.

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