From quarks to nucleons in dark matter direct detection

Abstract

We provide expressions for the nonperturbative matching of the effective field theory describing dark matter interactions with quarks and gluons to the effective theory of nonrelativistic dark matter interacting with nonrelativistic nucleons. We give the leading and subleading order expressions in chiral counting. In general, a single partonic operator already matches onto several nonrelativistic operators at leading order in chiral counting. Thus, keeping only one operator at the time in the nonrelativistic effective theory does not properly describe the scattering in direct detection. Moreover, the matching of the axial--axial partonic level operator, as well as the matching of the operators coupling DM to the QCD anomaly term, naively include momentum suppressed terms. However, these are still of leading chiral order due to pion poles and can be numerically important. We illustrate the impact of these effects with several examples.

arXiv comment47 pages, 8 figures. Improved discussion, corrected typographical errors, updated references

References in corpus (71)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Modern Theory of Nuclear Forces
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Effective Field Theory for Few-Nucleon Systems
• The QCD axion, precisely
• Constraints on Dark Matter from Colliders
• The Effective Field Theory of Dark Matter Direct Detection
• Axial structure of the nucleon
• Precise determination of the spin structure function ${\mathbf{g}}_1$ of the proton, deuteron and neutron
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Model-independent WIMP Scattering Responses and Event Rates: A Mathematica Package for Experimental Analysis
• Non-relativistic effective theory of dark matter direct detection
• Dark Matter Search Results from the PICO-60 C${}_3$F${}_8$ Bubble Chamber
• The Deuteron Spin-dependent Structure Function g1d and its First Moment
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• High-precision determination of the pion-nucleon $\sigma$-term from Roy-Steiner equations
• The Scalar Strange Content of the Nucleon from Lattice QCD
• The HQET/NRQCD Lagrangian to order alpha/m^3
• Tools for model-independent bounds in direct dark matter searches
• Limits on spin-dependent WIMP-nucleon cross section obtained from the complete LUX exposure
• Nonperturbative Contributions to the Inclusive Rare Decays $B\to X_s\gamma$ and $B\to X_s{\ell }^{+}{\ell }^{-}$
• Generalized parton distributions with helicity flip
• Deuterium target data for precision neutrino-nucleus cross sections
• Generalized Analysis of Weakly-Interacting Massive Particle Searches
• The form factors of the nucleon at small momentum transfer
• Axial, Scalar and Tensor Charges of the Nucleon from 2+1+1-flavor Lattice QCD
• Standard Model anatomy of WIMP dark matter direct detection II: QCD analysis and hadronic matrix elements
• Direct and indirect limits on the electro-magnetic form factors of WIMPs
• Accurate evaluation of hadronic uncertainties in spin-independent WIMP-nucleon scattering: Disentangling two- and three-flavor effects
• Transverse spin structure of the nucleon from lattice QCD simulations
• Detecting Technibaryon Dark Matter
• Iso-vector and Iso-scalar Tensor Charges of the Nucleon from Lattice QCD
• Global interpretation of direct Dark Matter searches after CDMS-II results
• Universal behavior in the scattering of heavy, weakly interacting dark matter on nuclear targets
• Lattice computation of the nucleon scalar quark contents at the physical point
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• WIMP-nucleus scattering in chiral effective theory
• WIMP-nucleon scattering with heavy WIMP effective theory
• Chiral-odd generalized parton distributions in constituent quark models
• Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
• $\pi$N and strangeness sigma terms at the physical point with chiral fermions
• Direct determination of the strange and light quark condensates from full lattice QCD
• Nucleon axial form factors using lattice QCD simulations with a physical value of the pion mass
• Quark helicity flip generalized parton distributions from two-flavor lattice QCD
• Direct Evaluation of the Quark Content of Nucleons from Lattice QCD at the Physical Point
• Analysis strategies for general spin-independent WIMP-nucleus scattering
• Spin-dependent $\mu \to e$ conversion
• Strangeness Contribution to the Proton Spin from Lattice QCD
• Chiral Effective Theory of Dark Matter Direct Detection
• Model independent extraction of the proton magnetic radius from electron scattering
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data
• Strange quark contributions to nucleon mass and spin from lattice QCD
• Global fits of the dark matter-nucleon effective interactions
• A Model Independent Approach to Inelastic Dark Matter Scattering
• Nucleon Scalar and Tensor Charges from Lattice QCD with Light Wilson Quarks
• Nucleon structure with two flavors of dynamical domain-wall fermions
• High-precision calculation of the strange nucleon electromagnetic form factors
• Remarks on the pion-nucleon sigma-term
• Lorentz invariance in heavy particle effective theories
• Melosh Rotation and the Nucleon Tensor Charge
• Effective field theory search for high-energy nuclear recoils using the XENON100 dark matter detector
• Strange Quark Magnetic Moment of the Nucleon at Physical Point
• First-principle calculations of Dark Matter scattering off light nuclei
• DAMA confronts null searches in the effective theory of dark matter-nucleon interactions
• Ab initio nuclear response functions for dark matter searches
• Anomalous tensor magnetic moments and form factors of the proton in the self-consistent chiral quark-soliton model
• Nuclear forces from chiral effective field theory: a primer
• Transverse strange quark spin structure of the nucleon
• Nucleon transversity generalized form factors with twisted mass fermions
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of Nf = 2+1 lattice QCD world data

Cited by in corpus (92)

• Constraining the Spin-Dependent WIMP-Nucleon Cross Sections with XENON1T
• Dark Matter through the Higgs portal
• A Next-Generation Liquid Xenon Observatory for Dark Matter and Neutrino Physics
• Neutrino Non-Standard Interactions: A Status Report
• WCxf: an exchange format for Wilson coefficients beyond the Standard Model
• Neutron stars at the dark matter direct detection frontier
• Global analyses of Higgs portal singlet dark matter models using GAMBIT
• Flavor diagonal tensor charges of the nucleon from 2+1+1 flavor lattice QCD
• PandaX-II Constraints on Spin-Dependent WIMP-Nucleon Effective Interactions
• Impact of vacuum stability, perturbativity and XENON1T on global fits of ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_3$ scalar singlet dark matter
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Non-standard neutrino interactions and low energy experiments
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• Faint Light from Dark Matter: Classifying and Constraining Dark Matter-Photon Effective Operators
• Effective Field Theory for Dark Matter Direct Detection up to Dimension Seven
• Loop-induced direct detection signatures from CP-violating scalar mediators
• General neutrino interactions with sterile neutrinos in light of coherent neutrino-nucleus scattering and meson invisible decays
• Interplay of the LHC and non-LHC Dark Matter searches in the Effective Field Theory approach
• Identifying WIMP dark matter from particle and astroparticle data
• Dark matter in Hidden Valley models with stable and unstable light dark mesons
• Light and Darkness: consistently coupling dark matter to photons via effective operators
• Nucleon matrix elements of the antisymmetric quark tensor
• Present and projected sensitivities of Dark Matter direct detection experiments to effective WIMP-nucleus couplings
• Dark matter direct detection of a fermionic singlet at one loop
• A complete Lorentz-to-Galileo dictionary for direct Dark Matter detection
• Non-Perturbative Effects in $\mu \to e\gamma$
• Neutron star observations of pseudoscalar-mediated dark matter
• Self-consistent extraction of spectroscopic bounds on light new physics
• Effective Leptophilic WIMPs at the $e^{+}{e}^{-}$ collider
• The Dark Side of 4321
• Observable Signatures of Scotogenic Dirac Model
• The effective theory of nuclear scattering for a WIMP of arbitrary spin
• Inflation from periodic extra dimensions
• Accommodating three low-scale anomalies (g-2, Lamb shift, and Atomki) in the framed standard model
• Quantum Monte Carlo calculations of dark matter scattering off light nuclei
• Limits on Dark Matter Effective Field Theory Parameters with CRESST-II
• Implications of the Gaia Sausage for Dark Matter Nuclear Interactions
• Dark matter and $B$-meson anomalies in a flavor dependent gauge symmetry
• Renormalization Group Effects in Dark Matter Interactions
• Lepton portal dark matter at muon colliders: Total rates and generic features for phenomenologically viable scenarios
• Determining Dark Matter properties with a XENONnT/LZ signal and LHC-Run3 mono-jet searches
• Effective theory tower for $\mu \to e$ conversion
• First Constraints on WIMP-Nucleon Effective Field Theory Couplings in an Extended Energy Region From LUX-ZEPLIN
• Halo-independent comparison of direct detection experiments in the effective theory of dark matter-nucleon interactions
• Constraints on the axial-vector and pseudo-scalar mediated WIMP-nucleus interactions from PandaX-4T experiment
• Dark matter electromagnetic dipoles: the WIMP expectation
• Surrogate Models for Direct Dark Matter Detection
• Discriminating WIMP-nucleus response functions in present and future XENON-like direct detection experiments
• Neutrino and dark matter in a gauged $U(1{)}_R$ symmetry
• The phenomenology of nuclear scattering for a WIMP of arbitrary spin
• On the sensitivity of present direct detection experiments to WIMP-quark and WIMP-gluon effective interactions: a systematic assessment and new model-independent approaches
• FeynOnium: Using FeynCalc for automatic calculations in Nonrelativistic Effective Field Theories
• Portal Effective Theories: A framework for the model independent description of light hidden sector interactions
• Evaluation of pion-nucleon sigma term in Dyson-Schwinger equation approach of QCD
• Direct Detections of Dark Matter in the Presence of Non-standard Neutrino Interactions
• Improved White Dwarves Constraints on Inelastic Dark Matter and Left-Right Symmetric Models
• Low-mass extension of direct detection bounds on WIMP-quark and WIMP-gluon effective interactions using the Migdal effect
• Searching for GeV-scale Majorana Dark Matter: inter spem et metum
• Weak mixing below the weak scale in dark-matter direct detection
• Inelastic dark matter nucleus scattering
• Three Exceptions to the Grossman-Nir Bound
• Dark Matter from a Conformal Dark Sector
• A Closer Look at CP-Violating Higgs Portal Dark Matter as a Candidate for the GCE
• Composite Dark Matter and a horizontal symmetry
• Phenomenological consequences of an interacting multicomponent dark sector
• Thermal WIMPs and the Scale of New Physics: Global Fits of Dirac Dark Matter Effective Field Theories
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• Distinctive signals of frustrated dark matter
• The implication of $J/\psi \to (\gamma +)\mathrm{invisible}$ for the effective field theories of neutrino and dark matter
• Effective field theory and inelastic dark matter results from XENON1T
• Loop effect with vector mediator in the coherent neutrino-nucleus scattering
• Two-loop radiative seesaw, muon $g-2$, and $\tau$-lepton-flavor violation with DM constraints
• Probing new hadronic forces with heavy exotic atoms
• Consistency test of the AMS-02 antiproton excess with direct detection data based on the effective field theory approach
• Uncertainties on the EFT coupling limits for direct dark matter detection experiments stemming from uncertainties of target properties
• Prospects of detecting cosmic ray up-scattered dark matter with DUNE
• Loop effect in the coherent neutrino-nucleus scattering
• Low-mass constraints on WIMP effective models of inelastic scattering using the Migdal effect
• Exploring Four Fermion Contact Couplings of a Dark Fermion and an Electron at Hadron Colliders and Direct Detection Experiments
• Assessing the sensitivity of PINGU to effective dark matter-nucleon interactions
• Direct detection of dark matter: Precision predictions in a simplified model framework
• A DAMA/Libra-phase2 analysis in terms of WIMP-quark and WIMP-gluon effective interactions up to dimension seven
• A Module For Boosted Dark Matter Event Generation in GENIE
• Constraining Gluonic Contact Interaction of a Neutrino-philic Dark Fermion at Hadron Colliders and Direct Detection Experiments
• Impact of ATLAS constraints on effective dark matter-standard model interactions with spin-one mediators
• Factorizing Hidden Particle Production Rates
• Dark Matter EFT Landscape Probed by QUEST-DMC
• Bracketing the direct detection exclusion plot for a WIMP of spin one half in non-relativistic effective theory
• Dark Matter Phenomenology: Sterile Neutrino Portal and Gravitational Portal in Extra-Dimensions
• Projected Sensitivity of Paleo-Detectors to Dark Matter Effective Interactions with Nuclei
• Searching for exotic scalars at fusion reactors