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Structure of two-loop SMEFT anomalous dimensions via on-shell methods

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arxiv 2005.12917 v1 pith:N7J6HLKW submitted 2020-05-26 hep-ph hep-th

classification hep-phhep-th
keywords anomalousdimensionstwo-loopmethodssmeftcomputingdescribeeffective
verification ladder T0 review T1 audit T2 compute T3 formal
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We describe on-shell methods for computing one- and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used as inputs to the computation of two-loop anomalous dimensions, and we explain how the structure of rational terms and judicious renormalization scheme choices can lead to additional vanishing terms in the anomalous dimension matrix at two loops. We describe the two-loop implications for the Standard Model Effective Field Theory (SMEFT). As a by-product of this analysis we verify a variety of one-loop SMEFT anomalous dimensions computed by Alonso, Jenkins, Manohar and Trott.

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Cited by 5 Pith papers

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  3. Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT

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    For the first time, the two-loop Yukawa-induced renormalisation-group running of the Higgs-gluon coupling from D^2H^4 and D H^2 ψ^2 SMEFT operators is computed.

  4. Positivity and partial wave unitarity bounds on ALP theories via amplitude methods

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    Complete partial-wave unitarity and positivity bounds are derived for ALP effective interactions up to dimension 8, with new SMEFT positivity constraints as a byproduct.

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

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    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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