Haloindependent direct detection analyses without mass assumptions
Abstract
Results from direct detection experiments are typically interpreted by employing an assumption about the dark matter velocity distribution, with results presented in the m{sub χ}−σ{sub n} plane. Recently methods which are independent of the DM halo velocity distribution have been developed which present results in the v{sub min}−gtilde plane, but these in turn require an assumption on the dark matter mass. Here we present an extension of these haloindependent methods for dark matter direct detection which does not require a fiducial choice of the dark matter mass. With a change of variables from v{sub min} to nuclear recoil momentum (p{sub R}), the full haloindependent content of an experimental result for any dark matter mass can be condensed into a single plot as a function of a new halo integral variable, which we call htiltilde(p{sub R}). The entire family of conventional haloindependent gtilde(v{sub min}) plots for all DM masses are directly found from the single htilde(p{sub R}) plot through a simple rescaling of axes. By considering results in htilde(p{sub R}) space, one can determine if two experiments are inconsistent for all masses and all physically possible halos, or for what range of dark matter masses the results are inconsistent for allmore »
 Authors:
 Laboratory for Nuclear Science, Massachusetts Institute of Technology,77 Massachusetts Avenue, Building 26505, Cambridge, MA 02139 (United States)
 Theoretical Physics Department, MS 106, Fermilab,PO Box 500, Batavia, IL 605100500 (United States)
 Center for Theoretical Physics and Department of Physics,Massachusetts Institute of Technology,77 Massachusetts Ave, Cambridge, MA 02139 (United States)
 Theory Division, CERN,1211 Geneva 23 (Switzerland)
 Publication Date:
 Sponsoring Org.:
 SCOAP3, CERN, Geneva (Switzerland)
 OSTI Identifier:
 22458388
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 10; Other Information: PUBLISHERID: JCAP10(2015)012; OAI: oai:repo.scoap3.org:12143; Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DETECTION; INTEGRALS; MASS; NONLUMINOUS MATTER; RECOILS; VELOCITY
Citation Formats
Anderson, Adam J., Fox, Patrick J., Kahn, Yonatan, and McCullough, Matthew. Haloindependent direct detection analyses without mass assumptions. United States: N. p., 2015.
Web. doi:10.1088/14757516/2015/10/012.
Anderson, Adam J., Fox, Patrick J., Kahn, Yonatan, & McCullough, Matthew. Haloindependent direct detection analyses without mass assumptions. United States. doi:10.1088/14757516/2015/10/012.
Anderson, Adam J., Fox, Patrick J., Kahn, Yonatan, and McCullough, Matthew. Tue .
"Haloindependent direct detection analyses without mass assumptions". United States.
doi:10.1088/14757516/2015/10/012.
@article{osti_22458388,
title = {Haloindependent direct detection analyses without mass assumptions},
author = {Anderson, Adam J. and Fox, Patrick J. and Kahn, Yonatan and McCullough, Matthew},
abstractNote = {Results from direct detection experiments are typically interpreted by employing an assumption about the dark matter velocity distribution, with results presented in the m{sub χ}−σ{sub n} plane. Recently methods which are independent of the DM halo velocity distribution have been developed which present results in the v{sub min}−gtilde plane, but these in turn require an assumption on the dark matter mass. Here we present an extension of these haloindependent methods for dark matter direct detection which does not require a fiducial choice of the dark matter mass. With a change of variables from v{sub min} to nuclear recoil momentum (p{sub R}), the full haloindependent content of an experimental result for any dark matter mass can be condensed into a single plot as a function of a new halo integral variable, which we call htiltilde(p{sub R}). The entire family of conventional haloindependent gtilde(v{sub min}) plots for all DM masses are directly found from the single htilde(p{sub R}) plot through a simple rescaling of axes. By considering results in htilde(p{sub R}) space, one can determine if two experiments are inconsistent for all masses and all physically possible halos, or for what range of dark matter masses the results are inconsistent for all halos, without the necessity of multiple gtilde(v{sub min}) plots for different DM masses. We conduct a sample analysis comparing the CDMS II Si events to the null results from LUX, XENON10, and SuperCDMS using our method and discuss how the results can be strengthened by imposing the physically reasonable requirement of a finite halo escape velocity.},
doi = {10.1088/14757516/2015/10/012},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 10,
volume = 2015,
place = {United States},
year = {Tue Oct 06 00:00:00 EDT 2015},
month = {Tue Oct 06 00:00:00 EDT 2015}
}

Results from direct detection experiments are typically interpreted by employing an assumption about the dark matter velocity distribution, with results presented in the m{sub χ}−σ{sub n} plane. Recently methods which are independent of the DM halo velocity distribution have been developed which present results in the v{sub min}− gtilde plane, but these in turn require an assumption on the dark matter mass. Here we present an extension of these haloindependent methods for dark matter direct detection which does not require a fiducial choice of the dark matter mass. With a change of variables from v{sub min} to nuclear recoil momentummore »

Haloindependent direct detection analyses without mass assumptions
Results from direct detection experiments are typically interpreted by employing an assumption about the dark matter velocity distribution, with results presented in the m _{χ} – σ _{n} plane. Recently methods which are independent of the DM halo velocity distribution have been developed which present results in the v _{min} – g ^{~} plane, but these in turn require an assumption on the dark matter mass. Here we present an extension of these haloindependent methods for dark matter direct detection which does not require a fiducial choice of the dark matter mass. With a change of variables from v _{min}more »Cited by 11 
Haloindependent direct detection analyses without mass assumptions
Here, results from direct detection experiments are typically interpreted by employing an assumption about the dark matter velocity distribution, with results presented in the m _{χ}σ _{n} plane. Recently methods which are independent of the DM halo velocity distribution have been developed which present results in the v _{min}g ^{~} plane, but these in turn require an assumption on the dark matter mass. Here we present an extension of these haloindependent methods for dark matter direct detection which does not require a fiducial choice of the dark matter mass. With a change of variables from v _{min} to nuclear recoilmore »Cited by 11 
Assessing compatibility of direct detection data: haloindependent global likelihood analyses
We present two different haloindependent methods to assess the compatibility of several direct dark matter detection data sets for a given dark matter model using a global likelihood consisting of at least one extended likelihood and an arbitrary number of Gaussian or Poisson likelihoods. In the first method we find the global best fit halo function (we prove that it is a unique piecewise constant function with a number of down steps smaller than or equal to a maximum number that we compute) and construct a twosided pointwise confidence band at any desired confidence level, which can then be comparedmore » 
Halo independent comparison of direct dark matter detection data
We extend the haloindependent method of Fox, Liu, and Weiner to include energy resolution and efficiency with arbitrary energy dependence, making it more suitable for experiments to use in presenting their results. Then we compare measurements and upper limits on the direct detection of low mass ( ∼ 10 GeV) weakly interacting massive particles with spinindependent interactions, including the upper limit on the annual modulation amplitude from the CDMS collaboration. We find that isospinsymmetric couplings are severely constrained both by XENON100 and CDMS bounds, and that isospinviolating couplings are still possible at the lowest energies, while the tension of themore »