A finely-predicted Higgs boson mass from a finely-tuned weak scale

Abstract

If supersymmetry is broken directly to the Standard Model at energies not very far from the unified scale, the Higgs boson mass lies in the range (128 -141) GeV. The end points of this range are tightly determined. Theories with the Higgs boson dominantly in a single supermultiplet predict a mass at the upper edge, (141 ± 2) GeV, with the uncertainty dominated by the experimental errors on the top quark mass and the QCD coupling. This edge prediction is remarkably insensitive to the supersymmetry breaking scale and to supersymmetric threshold corrections so that, in a wide class of theories, the theoretical uncertainties are at the level of ±0.4 GeV. A reduction in the uncertainties from the top quark mass and QCD coupling to the level of ±0.3 GeV may be possible at future colliders, increasing the accuracy of the confrontation with theory from 1.4% to 0.4%. Verification of this prediction would provide strong evidence for supersymmetry, broken at a very high scale of ≈ 10 14±2 GeV, and also for a Higgs boson that is elementary up to this high scale, implying fine-tuning of the Higgs mass parameter by ≈ 20 -28 orders of magnitude. Currently, the only known explanation for such fine-tuning is the multiverse.

Dark Radiation predictions from general Large Volume Scenarios

“…As we are mainly interested in setups which minimise ∆N eff , we choose sin(2β) = 1. This assumptions is further motivated by the fact that high scale supersymmetry suggests sin(2β) = 1 [15,[39][40][41]. The prediction for ∆N eff shows some mild dependence on g * .…”

Vacuum stability of Standard Model++

“…[12][13][14][15][16][17][18][19][20][21][22]44]. However, the devil is in the details, a more recent NNLO analysis [23,24] yields a very restrictive condition of absolute stability up to the Planck scale…”

“…Hence rather than simply searching for the Higgs self-coupling going negative in the ultraviolet, the stability analysis would involve finding the local and global minima of the effective potential in the multi-dimensional space of the soft-breaking sector [43]. However, the Higgs mass range favored by recent LHC data may be indicative of high-scale SUSY breaking [44]; perhaps near the high energy cutoff of the field theory, beyond which a string description becomes a necessity [45].…”

Higgs mass and vacuum stability in the Standard Model at NNLO

“…The state-of-the-art analyses before the latest LHC data were done at the next-to-leading order (NLO) level [9][10][11][12][13][14][15][16][17]. This is based on two-loop renormalizationgroup (RG) equations, one-loop threshold corrections at the electroweak scale (possibly improved with two-loop terms in the case of pure QCD corrections), and one-loop improved effective potential (see [18] for a numerically updated analysis).…”