Power Corrections to the Universal Heavy WIMPNucleon Cross Section
Abstract
WIMPnucleon scattering is analyzed at order $1/M$ in Heavy WIMP Effective Theory. The $1/M$ power corrections, where $$M\gg m_W$$ is the WIMP mass, distinguish between different underlying UV models with the same universal limit and their impact on direct detection rates can be enhanced relative to naive expectations due to generic amplitudelevel cancellations at leading order. The necessary one and twoloop matching calculations onto the lowenergy effective theory for WIMP interactions with Standard Model quarks and gluons are performed for the case of an electroweak SU(2) triplet WIMP, considering both the cases of elementary fermions and composite scalars. The lowvelocity WIMPnucleon scattering cross section is evaluated and compared with current experimental limits and projected future sensitivities. Our results provide the most robust prediction for electroweak triplet Majorana fermion dark matter direct detection rates; for this case, a cancellation between two sources of power corrections yields a small total $1/M$ correction, and a total cross section close to the universal limit for $$M \gtrsim {\rm few} \times 100\,{\rm GeV}$$. For the SU(2) composite scalar, the $1/M$ corrections introduce dependence on underlying strong dynamics. Using a leading chiral logarithm evaluation, the total $1/M$ correction has a larger magnitude and uncertainty than in the fermionic case, with a sign that further suppresses the total cross section. These examples provide definite targets for future direct detection experiments and motivate large scale detectors capable of probing to the neutrino floor in the TeV mass regime.
 Authors:
 Publication Date:
 Research Org.:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 OSTI Identifier:
 1422719
 Report Number(s):
 CALTH2017063; FERMILABPUB17400T; arXiv:1801.08551
1650560
 DOE Contract Number:
 AC0207CH11359
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: TBD
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Chen, ChienYi, Hill, Richard J., Solon, Mikhail P., and Wijangco, Alexander M.. Power Corrections to the Universal Heavy WIMPNucleon Cross Section. United States: N. p., 2018.
Web.
Chen, ChienYi, Hill, Richard J., Solon, Mikhail P., & Wijangco, Alexander M.. Power Corrections to the Universal Heavy WIMPNucleon Cross Section. United States.
Chen, ChienYi, Hill, Richard J., Solon, Mikhail P., and Wijangco, Alexander M.. 2018.
"Power Corrections to the Universal Heavy WIMPNucleon Cross Section". United States.
doi:. https://www.osti.gov/servlets/purl/1422719.
@article{osti_1422719,
title = {Power Corrections to the Universal Heavy WIMPNucleon Cross Section},
author = {Chen, ChienYi and Hill, Richard J. and Solon, Mikhail P. and Wijangco, Alexander M.},
abstractNote = {WIMPnucleon scattering is analyzed at order $1/M$ in Heavy WIMP Effective Theory. The $1/M$ power corrections, where $M\gg m_W$ is the WIMP mass, distinguish between different underlying UV models with the same universal limit and their impact on direct detection rates can be enhanced relative to naive expectations due to generic amplitudelevel cancellations at leading order. The necessary one and twoloop matching calculations onto the lowenergy effective theory for WIMP interactions with Standard Model quarks and gluons are performed for the case of an electroweak SU(2) triplet WIMP, considering both the cases of elementary fermions and composite scalars. The lowvelocity WIMPnucleon scattering cross section is evaluated and compared with current experimental limits and projected future sensitivities. Our results provide the most robust prediction for electroweak triplet Majorana fermion dark matter direct detection rates; for this case, a cancellation between two sources of power corrections yields a small total $1/M$ correction, and a total cross section close to the universal limit for $M \gtrsim {\rm few} \times 100\,{\rm GeV}$. For the SU(2) composite scalar, the $1/M$ corrections introduce dependence on underlying strong dynamics. Using a leading chiral logarithm evaluation, the total $1/M$ correction has a larger magnitude and uncertainty than in the fermionic case, with a sign that further suppresses the total cross section. These examples provide definite targets for future direct detection experiments and motivate large scale detectors capable of probing to the neutrino floor in the TeV mass regime.},
doi = {},
journal = {TBD},
number = ,
volume = ,
place = {United States},
year = 2018,
month = 1
}

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