A Correlation between the Higgs Mass and Dark Matter
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AHEP.2017.6295927.pdf
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Author(s)
Hertzberg, Mark Peter
Date Issued
July 2017
Journal
Advances in High Energy Physics
Publisher
Hindawi Publishing Corporation
Citation
Hertzberg, Mark P. "A Correlation between the Higgs Mass and Dark Matter." Advances in High Energy Physics 2017 (July 2017): 6295927 © 2017 Mark P. Hertzberg
Version
Final published version
Abstract
Depending on the value of the Higgs mass, the Standard Model acquires an unstable region at large Higgs field values due to RG running of couplings, which we evaluate at 2-loop order. For currently favored values of the Higgs mass, this renders the electroweak vacuum only metastable with a long lifetime. We argue on statistical grounds that the Higgs field would be highly unlikely to begin in the small field metastable region in the early universe, and thus some new physics should enter in the energy range of order of, or lower than, the instability scale to remove the large field unstable region. We assume that Peccei-Quinn (PQ) dynamics enters to solve the strong CP problem and, for a PQ-scale in this energy range, may also remove the unstable region. We allow the PQ-scale to scan and argue, again on statistical grounds, that its value in our universe should be of order of the instability scale, rather than (significantly) lower. Since the Higgs mass determines the instability scale, which is argued to set the PQ-scale, and since the PQ-scale determines the axion properties, including its dark matter abundance, we are led to a correlation between the Higgs mass and the abundance of dark matter. We find the correlation to be in good agreement with current data.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1155/2017/6295927
