Arxiv:2007.08529V2 [Hep-Ph] 23 Oct 2020 Nificantly Less Constrained Experimentally Than the Elec- Tromagnetic Charge Distribution
INT-PUB-20-026 Coherent elastic neutrino{nucleus scattering: EFT analysis and nuclear responses Martin Hoferichter,1, 2, ∗ Javier Men´endez,3, 4, y and Achim Schwenk5, 6, 7, z 1Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland 2Institute for Nuclear Theory, University of Washington, Seattle, WA 98195-1550, USA 3Department of Quantum Physics and Astrophysics and Institute of Cosmos Sciences, University of Barcelona, Spain 4Center for Nuclear Study, The University of Tokyo, 113-0033 Tokyo, Japan 5Institut f¨urKernphysik, Technische Universit¨atDarmstadt, 64289 Darmstadt, Germany 6ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum f¨urSchwerionenforschung GmbH, 64291 Darmstadt, Germany 7Max-Planck-Institut f¨urKernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany The cross section for coherent elastic neutrino{nucleus scattering (CEνNS) depends on the re- sponse of the target nucleus to the external current, in the Standard Model (SM) mediated by the exchange of a Z boson. This is typically subsumed into an object called the weak form factor of the nucleus. Here, we provide results for this form factor calculated using the large-scale nuclear shell model for a wide range of nuclei of relevance for current CEνNS experiments, including ce- sium, iodine, argon, fluorine, sodium, germanium, and xenon. In addition, we provide the responses needed to capture the axial-vector part of the cross section, which does not scale coherently with the number of neutrons, but may become relevant for the SM prediction of CEνNS on target nuclei with nonzero spin. We then generalize the formalism allowing for contributions beyond the SM.
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