Standard Model Higgs boson mass from inflation: Two loop analysis

By Fedor Bezrukov, M. Shaposhnikov. 2009

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We extend the analysis of [1] of the Standard Model Higgs inflation accounting for two-loop radiative corrections to the effective potential. As was expected, higher loop effects result in some modification of the interval for allowed Higgs masses mmin < mH < mmax, which somewhat exceeds the region in which the Standard Model can be considered as a viable effective field theory all the way up to the Planck scale. The dependence of the index ns of scalar perturbations on the Higgs mass is computed in two different renormalization procedures, associated with the Einstein (I) and Jordan (II) frames. In the procedure I the predictions of the spectral index of scalar fluctuations and of the tensor-to-scalar ratio practically do not depend on the Higgs mass within the admitted region and are equal to ns = 0.97 and r = 0.0034 respectively. In the procedure II the index ns acquires the visible dependence on the Higgs mass and and goes out of the admitted interval at mH below mmin. We compare our findings with the results of [2].

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7e76b362bd6be7cc1626a8b8c546e799fc1c751a

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Citations in the corpus

Higgs inflation: consistency and generalisations (2010, methodology): “We discuss, in particular, the sensitivity of the connection of the Higgs boson mass and the inflationary parameters [10, 14, 13, 15, 16, 25] to UV physics.”
Higgs inflation with loop corrections in the Palatini formulation (2017, background): “Differences have been found between treatments where renormalisation prescriptions are applied in different frames [46, 47, 49, 51], but this may be due to not matching the renormalisation scales and integration measures in the different frames consistently [54, 61, 96, 104].”
Higgs inflation from Standard Model criticality (2014, background): “More concretely, if ξ and φ are sufficiently large, ξ is given around μ = μmin by [40] ξ(μ) ' ξ0 { 1− ( 3 2 g(2) Y + 3g 2 2 − 6y(2) t ) 1 16π2 ln μ μmin } ' ξ0 { 1 + 0.”
Higgs boson mass and new physics (2012, methodology): “Theoretical uncertainties and mistakes in the Mmin evaluation in [12].”
Higgs mass and vacuum stability in the Standard Model at NNLO (2012, background): “[12, 13, 15, 24, 25] — the smallness of λ around MPl is quite remarkable (see figure 1).”