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} to nuclear recoil momentum (p _{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 tilde h(p _{R}). The entire family of conventional haloindependent tilde g ^{~}(v _{min}) plots for all DM masses are directly found from the single tilde h ^{~}(p _{R}) plot through a simple rescaling of axes. By considering results in tildeh ^{~}(p _{R}) space, one can determine if two experiments are inconsistent for all masses and all physically possible halos, or for whatmore »
 Authors:

^{[1]};
^{[2]};
^{[1]};
^{[3]}
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 European Organization for Nuclear Research (CERN), Geneva (Switzerland)
 Publication Date:
 Report Number(s):
 FERMILABPUB15096T; CERNPHTH2015073; MITCTP4661
Journal ID: ISSN 14757516; arXiv eprint number arXiv:1504.03333
 Grant/Contract Number:
 AC0207CH11359; SC00012567; AC0506OR23100
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Cosmology and Astroparticle Physics
 Additional Journal Information:
 Journal Volume: 2015; Journal Issue: 10; Journal ID: ISSN 14757516
 Publisher:
 Institute of Physics (IOP)
 Research Org:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Massachusetts Institute of Technology, Cambridge, MA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; dark matter theory; dark matter detectors; dark matter experiements; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; dark matter experiments
 OSTI Identifier:
 1212755
 Alternate Identifier(s):
 OSTI ID: 1254825
Anderson, Adam J., Fox, Patrick J., Kahn, Yonatan, and McCullough, Matthew. Haloindependent direct detection analyses without mass assumptions. United States: N. p.,
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. 2015.
"Haloindependent direct detection analyses without mass assumptions". United States.
doi:10.1088/14757516/2015/10/012. https://www.osti.gov/servlets/purl/1212755.
@article{osti_1212755,
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 mχ – σn plane. Recently methods which are independent of the DM halo velocity distribution have been developed which present results in the vmin – 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 vmin to nuclear recoil momentum (pR), 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 tilde h(pR). The entire family of conventional haloindependent tilde g~(vmin) plots for all DM masses are directly found from the single tilde h~(pR) plot through a simple rescaling of axes. By considering results in tildeh~(pR) 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 tilde g~(vmin) plots for different DM masses. As a result, 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 = {2015},
month = {10}
}