Soft collinear effective theory for heavy WIMP annihilation
Abstract
In a large class of models for Weakly Interacting Massive Particles (WIMPs), the WIMP mass M lies far above the weak scale m _{W} . This work identifies universal Sudakovtype logarithms ~ α log ^{2}(2 M/m _{W}) that spoil the naive convergence of perturbation theory for annihilation processes. An effective field theory (EFT) framework is presented, allowing the systematic resummation of these logarithms. Another impact of the large separation of scales is that a longdistance wavefunction distortion from electroweak boson exchange leads to observable modifications of the cross section. Careful accounting of momentum regions in the EFT allows the rigorous disentanglement of this socalled Sommerfeld enhancement from the shortdistance hard annihilation process. In addition, the WIMP is described as a heavyparticle field, while the electroweak gauge bosons are treated as soft and collinear fields. Hard matching coefficients are computed at renormalization scale μ ~ 2 M , then evolved down to μ ~ m _{W} , where electroweak symmetry breaking is incorporated and the matching onto the relevant quantum mechanical Hamiltonian is performed. The example of an SU(2) _{W} triplet scalar dark matter candidate annihilating to line photons is used for concreteness, allowing the numerical exploration of the impact ofmore »
 Authors:
 Univ. of Chicago, Chicago, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Princeton Univ., Princeton, NJ (United States); Institute for Advanced Study, Princeton, NJ (United States); Univ. of Oregon, Eugene, OR (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Univ. of Chicago, Chicago, IL (United States)
 Univ. of Chicago, Chicago, IL (United States); Univ. of California, Berkeley, CA (United States)
 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:
 1226293
 Report Number(s):
 FERMILABPUB14359T; EFI1432; SLACPUB16094
Journal ID: ISSN 10298479; arXiv eprint number arXiv:1409.7392; TRN: US1500550
 Grant/Contract Number:
 AC0207CH11359
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 1; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Beyond Standard Model; Cosmology of Theories; beyond the SM; resummation; Effective field theories
Citation Formats
Bauer, Martin, Cohen, Timothy, Hill, Richard J., and Solon, Mikhail P. Soft collinear effective theory for heavy WIMP annihilation. United States: N. p., 2015.
Web. doi:10.1007/JHEP01(2015)099.
Bauer, Martin, Cohen, Timothy, Hill, Richard J., & Solon, Mikhail P. Soft collinear effective theory for heavy WIMP annihilation. United States. doi:10.1007/JHEP01(2015)099.
Bauer, Martin, Cohen, Timothy, Hill, Richard J., and Solon, Mikhail P. 2015.
"Soft collinear effective theory for heavy WIMP annihilation". United States.
doi:10.1007/JHEP01(2015)099. https://www.osti.gov/servlets/purl/1226293.
@article{osti_1226293,
title = {Soft collinear effective theory for heavy WIMP annihilation},
author = {Bauer, Martin and Cohen, Timothy and Hill, Richard J. and Solon, Mikhail P.},
abstractNote = {In a large class of models for Weakly Interacting Massive Particles (WIMPs), the WIMP mass M lies far above the weak scale mW . This work identifies universal Sudakovtype logarithms ~ α log2(2 M/mW) that spoil the naive convergence of perturbation theory for annihilation processes. An effective field theory (EFT) framework is presented, allowing the systematic resummation of these logarithms. Another impact of the large separation of scales is that a longdistance wavefunction distortion from electroweak boson exchange leads to observable modifications of the cross section. Careful accounting of momentum regions in the EFT allows the rigorous disentanglement of this socalled Sommerfeld enhancement from the shortdistance hard annihilation process. In addition, the WIMP is described as a heavyparticle field, while the electroweak gauge bosons are treated as soft and collinear fields. Hard matching coefficients are computed at renormalization scale μ ~ 2 M , then evolved down to μ ~ mW , where electroweak symmetry breaking is incorporated and the matching onto the relevant quantum mechanical Hamiltonian is performed. The example of an SU(2)W triplet scalar dark matter candidate annihilating to line photons is used for concreteness, allowing the numerical exploration of the impact of nexttoleading order corrections and log resummation. As a result, for M ≃ 3 TeV, the resummed Sommerfeld enhanced cross section is reduced by a factor of ~ 3 with respect to the treelevel fixed order result.},
doi = {10.1007/JHEP01(2015)099},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2015,
place = {United States},
year = 2015,
month = 1
}
Web of Science

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