Effective field theory for dark matter direct detection up to dimension seven

Brod, Joachim; Gootjes-Dreesbach, Aaron; Tammaro, Michele; Zupan, Jure

doi:10.1007/jhep10(2018)065

Cited by 56 publications

(67 citation statements)

References 44 publications

(64 reference statements)

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“…to describe the dark matter interaction with SM particles [96][97][98][99]. Under the assumption that the dark matter particles carry a conserved quantum number, the dark matter fields always appear in bilinears and give rise to operators that are similar to those in the LEFT.…”

Section: Jhep01(2019)088mentioning

confidence: 99%

Non-perturbative effects in μ → eγ

Dekens

Jenkins

Manohar

et al. 2019

J. High Energ. Phys.

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We compute the non-perturbative contribution of semileptonic tensor operators (qσ µν q)(¯ σ µν) to the purely leptonic process µ → eγ and to the electric and magnetic dipole moments of charged leptons by matching onto chiral perturbation theory at low energies. This matching procedure has been used extensively to study semileptonic and leptonic weak decays of hadrons. In this paper, we apply it to observables that contain no strongly interacting external particles. The non-perturbative contribution to µ → e processes is used to extract the best current bound on lepton-flavor-violating semileptonic tensor operators, Λ BSM 450 TeV. We briefly discuss how the same method applies to dark-matter interactions.

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Section: Jhep01(2019)088mentioning

confidence: 99%

Non-perturbative effects in μ → eγ

Dekens

Jenkins

Manohar

et al. 2019

J. High Energ. Phys.

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“…. For a scalar DM field φ, neutral under the SM gauge group and interacting with the nucleon N through an effective Lagrangian [6,19,26,[40][41][42][43][44], it is easy to guess the lowest-dimensional operators that can produce at tree level the Lorentz structures in Table 1, assuming all factors of momenta come from derivatives. For instance, the dimension-5 effective operator φ † φN (γ 5 )N yields the amplitude term Γ N (5) , while the dimension-6 op- 5) .…”

Section: Spin-0 Dmmentioning

confidence: 99%

Complete Lorentz-to-Galileo dictionary for direct dark matter detection

Nobile

2018

Phys. Rev. D

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We determine the most general non-relativistic theory of DM-nucleon scattering complying with the sole requirement of Lorentz invariance, for spin-0 and spin-1/2 DM. To do so, we first classify a comprehensive list of amplitude terms encompassing the most general Lorentz-covariant 2-to-2 DM-nucleon scattering amplitude. We then match each term to a Galilean-invariant operator at leading-order in the non-relativistic expansion, for both elastic and inelastic (endothermic and exothermic) scattering. Our complete Lorentzto-Galileo mapping can be used to promptly determine the non-relativistic DM-nucleon interaction and the associated nuclear form factor for any given Lorentz-invariant DM model. It applies to both renormalizable and non-renormalizable theories (such as effective field theories at all orders), at any order of a perturbative expansion. We use our results to prove that, at leading order, Lorentz invariance does not impose restrictions on the set of 16 Galilean-invariant operators commonly used to parametrize the non-relativistic DMnucleon interaction. We also predict the lowest effective-operator dimension at which the non-relativistic operators appear in the effective field theory of a singlet DM particle.

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“…Special emphasis has been placed on modelling the "elementary" DM-nucleon interactions and computing the associated nuclear response functions [7][8][9][10]. Three approaches have been pursued to model the interactions of DM with nucleons: 1) non-relativistic effective theories for DM-nucleon interactions [11,12]; 2) relativistic effective field theories [13]; 3) and, finally, simplified models [14][15][16][17]. In non-relativistic effective theories the relevant degrees of freedom are DM and nucleons.…”

Section: Introductionmentioning

confidence: 99%

Non-relativistic effective interactions of spin 1 Dark Matter

Fridell

Krauss

2019

J. High Energ. Phys.

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We investigate the non-relativistic reduction of simplified models for spin 1 dark matter (DM) with the aim of identifying features in the phenomenology of DM-quark interactions which are specific to vector DM. In the case of DM-quark interactions mediated by a spin 1 particle, we find two DM-nucleon interaction operators arising from the nonrelativistic reduction of simplified models for spin 1 DM that are specific to spin 1 DM, and which were not considered in previous studies. They are quadratic in the momentum transfer, linear in a symmetric combination of polarisation vectors for the DM particle, and arise from simplified models which do not generate momentum transfer independent operators as leading interactions in the non-relativistic expansion of DM-nucleon scattering amplitudes. Within these simplified models, the new operators cannot be neglected when computing DM signals at direct detection experiments. For example, we find that nuclear recoil energy spectra computed by including or neglecting the new operators can differ by up to one order of magnitude for nuclear recoil energies larger than about 20 keV and DM masses below 50 GeV. Furthermore, the shape of the expected nuclear recoil spectra depends significantly on whether the new operators are taken into account or not. Finally, neglecting the contribution to DM direct detection signals from the new operators leads to inaccurate conclusions when assessing the compatibility of a future direct detection signal with CMB constraints on the DM relic density, especially when the number of signal events is small, e.g. O(1).

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Effective field theory for dark matter direct detection up to dimension seven

Cited by 56 publications

References 44 publications

Non-perturbative effects in μ → eγ

Non-perturbative effects in μ → eγ

Complete Lorentz-to-Galileo dictionary for direct dark matter detection

Non-relativistic effective interactions of spin 1 Dark Matter

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