Phenomenology of the new light Higgs bosons in Gildener-Weinberg model

Abstract

Gildener-Weinberg (GW) models of electroweak symmetry breaking are especially interesting because the low mass and nearly Standard Model couplings of the $125\mathrm{GeV}$ Higgs boson, $H$, are protected by approximate scale symmetry. Another important but so far under-appreciated feature of these models is that a sum rule bounds the masses of the new charged and neutral Higgs bosons appearing in {\em all} these models to be below about $500\mathrm{GeV}$. Therefore, they are within reach of LHC data currently or soon to be in hand. Also so far unnoticed of these models, certain cubic and quartic Higgs scalar couplings vanish at the classical level. This is due to spontaneous breaking of the scale symmetry. These couplings become nonzero from explicit scale breaking in the Coleman-Weinberg loop expansion of the effective potential. In a two-Higgs doublet GW model, we calculate ${\lambda }_{HHH}\simeq 2({\lambda }_{HHH}{)}_{\mathrm{SM}}=64\mathrm{GeV}$. This corresponds to $\sigma (pp\to HH)\cong 15$--$20\mathrm{fb}$, its {\em minimum} value for $\sqrt{s}=13$--$14\mathrm{TeV}$ at the LHC. It will require at least the $27\mathrm{TeV}$ HE-LHC to observe this cross section. We also find ${\lambda }_{HHHH}\simeq 4({\lambda }_{HHHH}{)}_{\mathrm{SM}}=0.129$, whose observation in $pp\to HHH$ requires a $100\mathrm{TeV}$ collider. Because of the above-mentioned sum rule, these results apply to {\em all} GW models. In view of this unpromising forecast, we stress that LHC searches for the new relatively light Higgs bosons of GW models are by far the surest way to test them in this decade.

25 pages, 5 figures, 1 table; Completely revised version of arXiv:1909.0211, including new title, new abstract and substantial new material and focus on the LHC signals of the Higgs bosons in a 2HDM Gildener-Weinberg model. Version to be published in Physical Review D

References in corpus (9)

• Combination of searches for Higgs boson pair production in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Combination of searches for Higgs boson pairs in $pp$ collisions at $\sqrt{s}=$13 TeV with the ATLAS detector
• Search for charged Higgs bosons decaying into top and bottom quarks at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Search for heavy Higgs bosons decaying to a top quark pair in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Search for a heavy Higgs boson decaying into a $Z$ boson and another heavy Higgs boson in the $\ell \ell bb$ final state in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for a charged Higgs boson decaying into top and bottom quarks in events with electrons or muons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Search for low-mass resonances decaying into bottom quark-antiquark pairs in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Natural Stabilization of the Higgs Boson's Mass and Alignment
• Analytical parametrization and shape classification of anomalous HH production in the EFT approach

Cited by in corpus (7)

• Higgs boson potential at colliders: status and perspectives
• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Two-loop analysis of classically scale-invariant models with extended Higgs sectors
• Higgs alignment and the top quark
• The Gildener-Weinberg two-Higgs doublet model at two loops
• Systematic analysis of 3HDM symmetries
• Improved effective potential of Gildener-Weinberg models