Hadronic uncertainties in the elastic scattering of supersymmetric dark matter

We review the uncertainties in the spin-independent and spin-dependent elastic scattering cross sections of supersymmetric dark matter particles on protons and neutrons. We propagate the uncertainties in quark masses and hadronic matrix elements that are related to the $\ensuremath{\pi}$-nucleon $\ensuremath{\sigma}$ term and the spin content of the nucleon. By far the largest single uncertainty is that in spin-independent scattering induced by our ignorance of the $⟨N|\overline{q}q|N⟩$ matrix elements linked to the $\ensuremath{\pi}$-nucleon $\ensuremath{\sigma}$ term, which affects the ratio of cross sections on proton and neutron targets as well as their absolute values. This uncertainty is already impacting the interpretations of experimental searches for cold dark matter. We plead for an experimental campaign to determine better the $\ensuremath{\pi}$-nucleon $\ensuremath{\sigma}$ term. Uncertainties in the spin content of the proton affect significantly, but less strongly, the calculation of rates used in indirect searches.

[1]  H. Goldberg,et al.  Constraint on the photino mass from cosmology , 1983 .

[2]  Indirect detection of dark matter in km size neutrino telescopes , 1998, astro-ph/9906033.

[3]  G. J. Alner,et al.  University of Huddersfield Repository First on WIMP nuclear recoil signals in ZEPLIN-II: A two-phase xenon detector for dark matter detection , 2022 .

[4]  H. Nilles,et al.  Supersymmetry, Supergravity and Particle Physics , 1984 .

[5]  Galactic halo models and particle dark-matter detection , 1997, hep-ph/9710337.

[6]  John Ellis,et al.  Constraints from accelerator experiments on the elastic scattering of CMSSM dark matter , 2002 .

[7]  Final report of the E821 muon anomalous magnetic moment measurement at BNL , 2006, hep-ex/0602035.

[8]  WMAPing out supersymmetric dark matter and phenomenology , 2003, hep-ph/0303130.

[9]  Implications of the pseudo-scalar Higgs boson in determining the neutralino dark matter , 2001, hep-ph/0106345.

[10]  Joseph Silk,et al.  Dark matter annihilation at the galactic center , 1999 .

[11]  J. D. Lewin,et al.  Dark matter detection , 1990 .

[12]  K. Griest,et al.  Supersymmetric dark matter , 1992 .

[13]  J. Silk,et al.  Cosmic ray constraints on the annihilations of relic particles in the galactic halo , 1988 .

[14]  J. Ellis,et al.  Constraining supersymmetry , 2002, hep-ph/0202110.

[15]  W. Keung,et al.  High energy neutrinos from neutralino annihilations in the Sun , 2007, 0708.1325.

[16]  H. Newberg,et al.  Effects of the Sagittarius dwarf tidal stream on dark matter detectors. , 2003, Physical review letters.

[17]  Can WIMP spin dependent couplings explain DAMA data, in light of null results from other experiments? , 2004, astro-ph/0408346.

[18]  Betty A. Young,et al.  Limits on spin-dependent WIMP-nucleon interactions from the cryogenic dark matter search , 2006 .

[19]  J. Ellis,et al.  Re-evaluation of the elastic scattering of supersymmetric dark matter , 2000, hep-ph/0001005.

[20]  Indirect search for neutralino dark matter with high energy neutrinos , 2001, hep-ph/0105182.

[21]  M. Drees,et al.  Neutralino relic density in minimal N=1 supergravity. , 1992, Physical Review D, Particles and fields.

[22]  A. Silvestri.  Results from the AMANDA experiment , 2007 .

[23]  S. University,et al.  Implications for relic neutralinos of the theoretical uncertainties in the neutralino nucleon cross-section , 1999, hep-ph/9909228.

[24]  J. D. Lewin,et al.  Review of mathematics, numerical factors, and corrections for dark matter experiments based on elastic nuclear recoil , 1996 .

[25]  Dark matter detection in the light of recent experimental results , 2003, hep-ph/0309346.

[26]  Howard E. Haber,et al.  The Search for Supersymmetry: Probing Physics Beyond the Standard Model , 1985 .

[27]  Supersymmetric benchmarks with non-universal scalar masses or gravitino dark matter , 2005, hep-ph/0508198.

[28]  Wilczek,et al.  Solar System constraints and signatures for dark-matter candidates. , 1986, Physical review. D, Particles and fields.

[29]  S. Kumano,et al.  Polarized parton distribution functions in the nucleon , 2000, hep-ph/0001046.

[30]  Pran Nath,et al.  WMAP constraints, supersymmetric dark matter, and implications for the direct detection of supersymmetry , 2003 .

[31]  J. Silk,et al.  High-energy neutrinos from the sun and cold dark matter , 1987 .

[32]  High energy gamma-radiation from the galactic center due to neutralino annihilation , 1994, hep-ph/9402215.

[33]  H. Baer,et al.  Neutralino dark matter in minimal supergravity: Direct detection versus collider searches , 1997, hep-ph/9706509.

[34]  F. Gianotti,et al.  Updated post-WMAP benchmarks for supersymmetry , 2003, hep-ph/0306219.

[35]  Minoru Yoshida,et al.  Search for dark matter WIMPs using upward through-going muons in Super-Kamiokande , 2004 .

[36]  C. Winant,et al.  First results from the XENON10 dark matter experiment at the Gran Sasso National Laboratory. , 2007, Physical review letters.

[37]  J. Silk,et al.  The photino, the sun, and high-energy neutrinos. , 1985, Physical review letters.

[38]  Francisco Prada,et al.  Where Are the Missing Galactic Satellites? , 1999, astro-ph/9901240.

[39]  J. Hagelin,et al.  A high-energy neutrino signature from supersymmetric relics , 1986 .

[40]  Updated Constraints on the Minimal Supergravity Model , 2002 .

[41]  John Ellis,et al.  Charginos and neutralinos in the light of radiative corrections: Sealing the fate of Higgsino dark matter , 1998, hep-ph/9801445.

[42]  F. Gianotti,et al.  Proposed Post-LEP benchmarks for supersymmetry , 2001, hep-ph/0106204.

[43]  J. Zhu,et al.  Limits on WIMP-nucleon cross section with CsI(Tl) crystal detectors , 2007, 0704.0423.

[44]  M. Turner,et al.  The Local Halo Density , 1995, astro-ph/9505039.

[45]  F. Stecker,et al.  Galactic antiprotons from photinos. , 1985, Physical review letters.

[46]  M. E. Sainio,et al.  Sigma term update , 1991 .

[47]  S. Tremaine,et al.  Galactic Dynamics , 2005 .

[48]  Detectability of weakly interacting massive particles in the Sagittarius dwarf tidal stream , 2003, astro-ph/0309279.

[49]  Goodman,et al.  Detectability of certain dark-matter candidates. , 1985, Physical review. D, Particles and fields.

[50]  Phenomenology of GUT-less supersymmetry breaking , 2007, 0704.3446.

[51]  G. J. Alner,et al.  Limits on spin-dependent WIMP-nucleon cross-sections from the first ZEPLIN-II data , 2007 .

[52]  A. Vainshtein,et al.  REVIEWS OF TOPICAL PROBLEMS: Higgs particles , 1980 .

[53]  R. W. Ogburn,et al.  Limits on spin-independent interactions of weakly interacting massive particles with nucleons from the two-tower run of the cryogenic dark matter search. , 2006, Physical review letters.

[54]  V. Barger,et al.  Relic density of neutralino dark matter in supergravity models , 1997, hep-ph/9704403.

[55]  J. Ellis,et al.  Update on the direct detection of supersymmetric dark matter , 2005, hep-ph/0502001.

[56]  K. Olive,et al.  Dark matter induced neutrinos from the sun: Theory versus experiment , 1987 .

[57]  U. Chattopadhyay,et al.  Supersymmetric dark matter and Yukawa unification , 2001, hep-ph/0201001.

[58]  J. Silk,et al.  Cosmic-ray antiprotons as a probe of a photino-dominated universe , 1984 .

[59]  Hai-Yang Cheng.  Low-energy Interactions of Scalar and Pseudoscalar Higgs Bosons With Baryons , 1989 .

[60]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[61]  D. Lamb,et al.  A Low-Latitude Halo Stream around the Milky Way , 2003, astro-ph/0301029.

[62]  M. F. Skrutskie,et al.  A Two Micron All Sky Survey View of the Sagittarius Dwarf Galaxy. I. Morphology of the Sagittarius Core and Tidal Arms , 2003, astro-ph/0304198.

[63]  Investigation of top mass measurements with the ATLAS detector at LHC , 2004, hep-ex/0403021.

[64]  D. Lamb,et al.  Erratum: “A Low-Latitude Halo Stream around the Milky Way” (ApJ, 588, 824 [2003]) , 2004 .

[65]  S. Kim,et al.  Publisher's Note: Search for dark matter WIMPs using upward through-going muons in Super-Kamiokande [Phys. Rev. D 70, 083523 (2004)] , 2004 .

[66]  N. Fornengo,et al.  Indirect search for neutralinos at neutrino telescopes , 1991 .

[67]  The CMSSM parameter space at large /tanβ , 2001, hep-ph/0102098.

[68]  Cosmological relic density from minimal supergravity with implications for collider physics. , 1995, Physical review. D, Particles and fields.

[69]  Supersymmetric dark matter in light of WMAP , 2003, hep-ph/0303043.

[70]  N. Fornengo,et al.  Amount of antiprotons in cosmic rays due to halo neutralino annihilation , 1995 .

[71]  Annihilation radiation from a dark matter spike at the Galactic Centre , 2002, astro-ph/0203488.

[72]  D. Stöckinger,et al.  Muon (g − 2): experiment and theory , 2007, Reports on progress in physics. Physical Society.

[73]  John Ellis,et al.  Exploration of elastic scattering rates for supersymmetric dark matter , 2001 .

[74]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[75]  G. Bertone,et al.  Identification of weakly interacting massive particles through a combined measurement of axial and scalar couplings. , 2007, Physical review letters.

[76]  Measurement of the negative muon anomalous magnetic moment to 0.7 ppm. , 2002, Physical review letters.

[77]  New Cosmological and Experimental Constraints on the CMSSM , 2001, hep-ph/0106334.

[78]  K. Freese.  Can Scalar Neutrinos Or Massive Dirac Neutrinos Be the Missing Mass , 1986 .

[79]  A. Vainshtein,et al.  Remarks on Higgs-Boson Interactions with Nucleons , 1978 .

[80]  J. Hagelin,et al.  Supersymmetric relics from the big bang , 1984 .

[81]  George Lake,et al.  Dark Matter Substructure within Galactic Halos , 1999, astro-ph/9907411.