Abstract
We perform the first comprehensive analysis of the prospects for direct detection of dark matter with future ton-scale detectors in the general 11-dimensional effective theory of isoscalar dark matter-nucleon interactions mediated by a heavy spin-1 or spin-0 particle. The theory includes 8 momentum and velocity dependent dark matter-nucleon interaction operators, besides the familiar spin-independent and spin-dependent operators. From a variegated sample of 27 benchmark points selected in the parameter space of the theory, we simulate independent sets of synthetic data for ton-scale Germanium and Xenon detectors. From the synthetic data, we then extract the marginal posterior probability density functions and the profile likelihoods of the model parameters. The associated Bayesian credible regions and frequentist confidence intervals allow us to assess the prospects for direct detection of dark matter at the 27 benchmark points. First, we analyze the data assuming the knowledge of the correct dark matter nucleon-interaction type, as it is commonly done for the familiar spin-independent and spin-dependent interactions. Then, we analyze the simulations extracting the dark matter-nucleon interaction type from the data directly, in contrast to standard analyses. This second approach requires an extensive exploration of the full 11-dimensional parameter space of the dark matter-nucleon effective theory. Interestingly, we identify 5 scenarios where the dark matter mass and the dark matter-nucleon interaction type can be reconstructed from the data simultaneously. We stress the importance of extracting the dark matter nucleon-interaction type from the data directly, discussing the main challenges found addressing this complex 11-dimensional problem.
Highlights
Future ton-scale detectors will measure recoil events originating from local radioactivity, cosmic rays, and other experimental backgrounds, besides nuclear recoil events induced by dark matter scattering in the target material.For the irreducible background events in the ton-scale Germanium and Xenon detectors, we assume the following energy spectrum dR(Bj) dEj bj η − aj +η e−Ej / j, j [exp(−aj/ j) − exp(−bj/ j)] (3.6)where aj is the lower limit of the signal region
From a variegated sample of 27 benchmark points selected in the parameter space of the theory, we simulate independent sets of synthetic data for ton-scale Germanium and Xenon detectors
We have introduced an index j to characterize the quantities depending on the detector type. j = 1 refers to the Germanium detector, whereas j = 2 identifies the Xenon detector
Summary
Future ton-scale detectors will measure recoil events originating from local radioactivity, cosmic rays, and other experimental backgrounds, besides nuclear recoil events induced by dark matter scattering in the target material.For the irreducible background events in the ton-scale Germanium and Xenon detectors, we assume the following energy spectrum dR(Bj) dEj bj η − aj +η e−Ej / j , j [exp(−aj/ j) − exp(−bj/ j)] (3.6)where aj (bj) is the lower (upper) limit of the signal region. Future ton-scale detectors will measure recoil events originating from local radioactivity, cosmic rays, and other experimental backgrounds, besides nuclear recoil events induced by dark matter scattering in the target material. For the irreducible background events in the ton-scale Germanium and Xenon detectors, we assume the following energy spectrum dR(Bj) dEj bj η − aj +. J = 1 refers to the Germanium detector, whereas j = 2 identifies the Xenon detector. We have introduced an index j to characterize the quantities depending on the detector type. With this notation, E1 = EO and E2 = S1. In eq (3.6) η = 0.5, which implies one background event in the signal region, both for the Germanium detector and for the Xenon detector.
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