Standard Model anatomy of WIMP dark matter direct detection II: QCD analysis and hadronic matrix elements

By R. Hill, M. Solon. 2014

144 citations recorded by the source corpus.

Models of weakly interacting massive particles (WIMPs) specified at the electroweak scale are systematically matched to effective theories at hadronic scales where WIMP-nucleus scattering observables are evaluated. Anomalous dimensions and heavy-quark threshold matching conditions are computed for the complete basis of lowest-dimension effective operators involving quarks and gluons. The resulting QCD renormalization group evolution equations are solved. The status of relevant hadronic matrix elements is reviewed and phenomenological illustrations are given, including details for the computation of the universal limit of nucleon scattering with heavy S U ( 2 ) W × U ( 1 ) Y charged WIMPs. Several cases of previously underestimated hadronic uncertainties are isolated. The results connect arbitrary models specified at the electroweak scale to a basis of n f = 3 -flavor QCD operators. The complete basis of operators and Lorentz invariance constraints through order v 2 / c 2 in the nonrelativistic nucleon effective theory are derived.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/761334174382f34069cfa40ff10f387b0df66c8a

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In Astronomy and Astrophysics

1. Rainer Sommer
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Citations in the corpus

• Dark matter models and direct detection (2019, methodology): “The matching can be written more precisely by taking the matrix elements of the partonic operators with nucleon states [143, 140, 144, 145].”
• FLAG Review 2019 (2019, methodology): “Finally we remark that, by exploiting the heavy-quark limit, the light- and strange-quark sigma terms can be used to estimate σq for the charm, bottom and top quarks [930–932].”