Soft collinear effective theory for heavy WIMP annihilation

Bauer, Martin; Cohen, Timothy; Hill, Richard J.; Solon, Mikhail P.

doi:10.1007/JHEP01(2015)099

Title: Soft collinear effective theory for heavy WIMP annihilation

Journal Article · Mon Jan 19 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2015)099· OSTI ID:1226293

Bauer, Martin ^[1]; Cohen, Timothy ^[2]; Hill, Richard J. ^[3]; Solon, Mikhail P. ^[4]

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)

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 Sudakov-type logarithms ~ α log²(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 long-distance 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 so-called Sommerfeld enhancement from the short-distance hard annihilation process. In addition, the WIMP is described as a heavy-particle 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 of next-to-leading 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.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1226293

Report Number(s):: FERMILAB-PUB-14-359-T; EFI-14-32; SLAC-PUB-16094; arXiv eprint number arXiv:1409.7392; TRN: US1500550

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 44 works

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Title: Soft collinear effective theory for heavy WIMP annihilation

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