The Weak Scale as a Trigger

Abstract

Does the value of the Higgs mass parameter affect the expectation value of local operators in the Standard Model? For essentially all local operators the answer to this question is "no", and this is one of the avatars of the hierarchy problem: nothing is "triggered" when the Higgs mass parameter crosses zero. In this letter, we explore settings in which Higgs mass parameters $can$ act as a "trigger" for some local operators ${\mathcal{O}}_T$. In the Standard Model, this happens for ${\mathcal{O}}_T=\mathrm{Tr}(G\tilde{G})$. We also introduce a "type-0" two Higgs doublet model, with a $Z_4$ symmetry, for which ${\mathcal{O}}_T=H_1{H}_2$ is triggered by the Higgs masses, demanding the existence of new Higgs states necessarily comparable to or lighter than the weak scale, with no wiggle room to decouple them whatsoever. Surprisingly, this model is not yet entirely excluded by collider searches, and will be incisively probed by the high-luminosity run of the LHC, as well as future Higgs factories. We also discuss a possibility for using this trigger to explain the origin of the weak scale, invoking a landscape of extremely light, weakly interacting scalars ${\varphi }_i$, with a coupling to ${\mathcal{O}}_T$ needed to make it possible to find vacua with small enough cosmological constant. The weak scale trigger links the tuning of the Higgs mass to that of the cosmological constant, while coherent oscillations of the ${\varphi }_i$ can constitute dark matter.

arXiv comment23 pages, 9 figures [added references and expanded discussion of 2HDM cosmology]

References in corpus (94)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Theory and phenomenology of two-Higgs-doublet models
• Ultralight scalars as cosmological dark matter
• New Developments in the Casimir Effect
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• The Anatomy of Electro-Weak Symmetry Breaking. II: The Higgs bosons in the Minimal Supersymmetric Model
• Planck 2013 results. XXII. Constraints on inflation
• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• The CP-conserving two-Higgs-doublet model: the approach to the decoupling limit
• Test of the Equivalence Principle Using a Rotating Torsion Balance
• A facility to Search for Hidden Particles at the CERN SPS: the SHiP physics case
• Search for Neutral MSSM Higgs Bosons at LEP
• Cosmological Relaxation of the Electroweak Scale
• Discovering the QCD Axion with Black Holes and Gravitational Waves
• First constraints on fuzzy dark matter from Lyman-$\alpha$ forest data and hydrodynamical simulations
• 2HDMC - Two-Higgs-Doublet Model Calculator
• Sub-millimeter Tests of the Gravitational Inverse-square Law
• Torsion-balance tests of the weak equivalence principle
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Searching for dilaton dark matter with atomic clocks
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
• The oblique parameters in multi-Higgs-doublet models
• TikZ-Feynman: Feynman diagrams with TikZ
• Stellar cooling bounds on new light particles: plasma mixing effects
• $b\to s\gamma$ Decay and Supersymmetry
• Constraining the mass of light bosonic dark matter using SDSS Lyman-$\alpha$ forest
• New Detectors to Explore the Lifetime Frontier
• Searching for Long-lived Particles: A Compact Detector for Exotics at LHCb
• Dark Matter Direct Detection with Accelerometers
• Probing Light Thermal Dark-Matter With a Higgs Portal Mediator
• Short-range tests of the equivalence principle
• Search for additional heavy neutral Higgs and gauge bosons in the ditau final state produced in 36 fb${}^{-1}$ of $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• New Experimental Constraints on Non-Newtonian Forces below 100 microns
• Black hole superradiance of self-interacting scalar fields
• MICROSCOPE mission: first constraints on the violation of the weak equivalence principle by a light scalar dilaton
• Dark Sectors at the Fermilab SeaQuest Experiment
• Basis-independent methods for the two-Higgs-doublet model III: The CP-conserving limit, custodial symmetry, and the oblique parameters S, T, U
• Search for Scalar Diphoton Resonances in the Mass Range $65-600$ GeV with the ATLAS Detector in $pp$ Collision Data at $\sqrt{s}$ = 8 $TeV$
• Galactic Rotation Curves vs. Ultra-Light Dark Matter: Implications of the Soliton -- Host Halo Relation
• Status of the Charged Higgs Boson in Two Higgs Doublet Models
• Search for light scalar dark matter with atomic gravitational wave detectors
• Phenomenology of a very light scalar (100 MeV $<m_h<$ 10 GeV) mixing with the SM Higgs
• Evidence for Higgs boson decay to a pair of muons
• Search for neutral Higgs bosons of the minimal supersymmetric standard model in pp collisions at $\sqrt{s}$ = 8 TeV with the ATLAS detector
• Galaxy UV-luminosity function and reionization constraints on axion dark matter
• Constraints on Yukawa-Type Deviations from Newtonian Gravity at 20 Microns
• Search for additional neutral MSSM Higgs bosons in the $\tau \tau$ final state in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Search for diphoton resonances in the mass range from 150 to 850 GeV in pp collisions at sqrt(s) = 8 TeV
• A search for the dimuon decay of the Standard Model Higgs boson with the ATLAS detector
• Search for resonances in diphoton events at $\sqrt{s}$=13 TeV with the ATLAS detector
• Search for new phenomena in high-mass diphoton final states using 37 fb${}^{-1}$ of proton-proton collisions collected at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for a CP-odd Higgs boson decaying to $Zh$ in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Dark Higgs Bosons at FASER
• Measurements of $WH$ and $ZH$ production in the $H\to b\bar{b}$ decay channel in $pp$ collisions at 13 TeV with the ATLAS detector
• New LHC bound on low-mass diphoton resonances
• Cosmological Higgs-Axion Interplay for a Naturally Small Electroweak Scale
• Search for heavy resonances decaying into $WW$ in the $e\nu \mu \nu$ final state in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for a standard model-like Higgs boson in the mass range between 70 and 110 GeV in the diphoton final state in proton-proton collisions at $\sqrt{s}=$ 8 and 13 TeV
• On the future of Higgs, electroweak and diboson measurements at lepton colliders
• Search for a high-mass Higgs boson decaying to a $W$ boson pair in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Differential branching fraction and angular analysis of the $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ decay
• Search for charged Higgs bosons decaying into top and bottom quarks at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Search for charged Higgs bosons in the H${}^{\pm }$ $\to$ ${\tau }^{\pm }{\nu }_{\tau }$ decay channel in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Search for Charged Higgs Bosons at LEP in General Two Higgs Doublet Models
• Search for heavy $ZZ$ resonances in the ${\ell }^{+}{\ell }^{-}{\ell }^{+}{\ell }^{-}$ and ${\ell }^{+}{\ell }^{-}\nu \bar{\nu }$ final states using proton proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Higgs boson production cross-section measurements and their EFT interpretation in the $4\ell$ decay channel at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Constraints on CP violation in the Higgs sector from the $\rho$ parameter
• Sub-eV scalar dark matter through the super-renormalizable Higgs portal
• 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 charged Higgs bosons decaying into a top and a bottom quark in the all-jet final state of pp collisions at $\sqrt{s}=$ 13 TeV
• Search for charged Higgs bosons produced in association with a top quark and decaying via $H^{\pm }\to \tau \nu$ using $pp$ collision data recorded at $\sqrt{s}=13$ TeV by the ATLAS detector
• Search for an exotic decay of the Higgs boson to a pair of light pseudoscalars in the final state with two b quarks and two $\tau$ leptons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• A small weak scale from a small cosmological constant
• Space-based tests of gravity with laser ranging
• Testing extreme-axion wave dark matter using the BOSS Lyman-Alpha forest data
• Searches for the $Z\gamma$ decay mode of the Higgs boson and for new high-mass resonances in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for an exotic decay of the Higgs boson to a pair of light pseudoscalars in the final state of two muons and two $\tau$ leptons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Detecting Hidden Particles with MATHUSLA
• Measurement of the associated production of a Higgs boson decaying into $b$-quarks with a vector boson at high transverse momentum in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for Minimal Supersymmetric Standard Model Higgs bosons $H/A$ and for a $Z^{\prime }$ boson in the $\tau \tau$ final state produced in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS Detector
• Search for heavy neutral Higgs bosons produced in association with $b$-quarks and decaying into $b$-quarks at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for Higgs boson decays into a pair of light bosons in the $bb\mu \mu$ final state in $pp$ collision at $\sqrt{s}=$13 TeV with the ATLAS detector
• Search for a light pseudoscalar Higgs boson in the boosted $\mu \mu \tau \tau$ final state in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Search for Higgs boson decays into two new low-mass spin-0 particles in the 4$b$ channel with the ATLAS detector using $pp$ collisions at $\sqrt{s}=13$ TeV
• Field theory models for variable cosmological constant
• Search for direct pair production of supersymmetric partners to the $\tau$ lepton in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Interim recommendations for the evaluation of Higgs production cross sections and branching ratios at the LHC in the Two-Higgs-Doublet Model
• Search for MSSM Higgs bosons decaying to ${\mu }^{+}{\mu }^{-}$ in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Heavy Higgs Searches: Flavour Matters
• Search for a light charged Higgs boson decaying to a W boson and a CP-odd Higgs boson in final states with e$\mu \mu$ or $\mu \mu \mu$ in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Search for a Higgs Boson Decaying into Two Photons at LEP
• Search for scalar resonances decaying into ${\mu }^{+}{\mu }^{-}$ in events with and without $b$-tagged jets produced in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for a fermiophobic Higgs boson in the diphoton decay channel with the ATLAS detector
• Search for Higgs boson production in association with a high-energy photon via vector-boson fusion with decay into bottom quark pairs at $\sqrt{s}$=13 TeV with the ATLAS detector

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