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Higgs mass and vacuum stability in the Standard Model at NNLO

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abstract

We present the first complete next-to-next-to-leading order analysis of the Standard Model Higgs potential. We computed the two-loop QCD and Yukawa corrections to the relation between the Higgs quartic coupling (lambda) and the Higgs mass (Mh), reducing the theoretical uncertainty in the determination of the critical value of Mh for vacuum stability to 1 GeV. While lambda at the Planck scale is remarkably close to zero, absolute stability of the Higgs potential is excluded at 98% C.L. for Mh < 126 GeV. Possible consequences of the near vanishing of lambda at the Planck scale, including speculations about the role of the Higgs field during inflation, are discussed.

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representative citing papers

Stochastic Gravitational Waves from Modulated Reheating

astro-ph.CO · 2025-10-07 · unverdicted · novelty 5.0

A spectator scalar in modulated reheating with large Higgs-like couplings generates detectable scalar-induced stochastic gravitational waves for BBO and DECIGO, but only outside perturbative low-energy extrapolations.

The Higgs-top-$Z$ mass coincidence relation after NNLO matching

hep-ph · 2026-05-20 · unverdicted · novelty 4.0

The pole-level ratio M_Z M_t / M_H² is 1.00362 ± 0.00261, consistent with an exact relation at 1.4 sigma, but the NNLO-matched MSbar version at the top scale deviates to 0.96714, requiring either a pole-level symmetry or a finite threshold factor of 1.034.

Smooth Threshold Effects from Dimensional Regularization

hep-th · 2026-04-26 · unverdicted · novelty 4.0

A mass-dependent renormalization scheme from dimensional regularization yields smooth threshold transitions in QCD and implements the Appelquist-Carazzone theorem by reducing to minimal subtraction at high energies.

Indications for New Higgs Bosons

hep-ph · 2026-05-05 · unverdicted · novelty 3.0

Excesses in di-photon and other channels at the LHC indicate possible new scalars near 95 GeV and 152 GeV, with the 152 GeV candidate fitting an SU(2)_L triplet model that also affects top-quark distributions.

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