Towards a No-Lose Theorem for Naturalness

Abstract

We derive a phenomenological no-lose theorem for naturalness up to the TeV scale, which applies when quantum corrections to the Higgs mass from top quarks are canceled by perturbative BSM particles (top partners) of similar multiplicity due to to some symmetry. Null results from LHC searches already seem to disfavor such partners if they are colored. Any partners with SM charges and ~TeV masses will be exhaustively probed by the LHC and a future 100 TeV collider. Therefore, we focus on neutral top partners. While these arise in Twin Higgs theories, we analyze neutral top partners as model-independently as possible using EFT and Simplified Model methods. We classify all perturbative neutral top partner structures in order to compute their irreducible low-energy signatures at proposed future lepton and hadron colliders, as well as the irreducible tunings suffered in each scenario. Central to our theorem is the assumption that SM-charged BSM states appear in the UV completion of neutral naturalness, which is the case in all known examples. Direct production at the 100 TeV collider then allows this scale to be probed at the ~10 TeV level. We find that proposed future colliders probe any such scenario of naturalness with tuning of 10% or better. This provides very strong model-independent motivation for both new lepton and hadron colliders, which in tandem act as discovery machines for general naturalness. We put our results in context by discussing other possibilities for naturalness, including "swarms" of top partners, inherently non-perturbative or exotic physics, or theories without SM-charged states in the UV completion. Realizing a concrete scenario which avoids our arguments while still lacking experimental signatures remains an open model-building challenge.

32 pages, 19 figures. Added references, fixed typo in figure legend

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Cited by in corpus (29)

• Physics Opportunities of a 100 TeV Proton-Proton Collider
• Discovering Uncolored Naturalness in Exotic Higgs Decays
• Complete One-Loop Matching for a Singlet Scalar in the Standard Model EFT
• Baryogenesis and Gravitational Waves from Runaway Bubble Collisions
• Freeze-Twin Dark Matter
• A Quirky Probe of Neutral Naturalness
• A No-Lose Theorem for Discovering the New Physics of $(g-2{)}_{\mu }$ at Muon Colliders
• Exotic Quarks in Twin Higgs Models
• The spontaneous ${\mathbb{Z}}_2$ breaking Twin Higgs
• Multi-channel assault on natural supersymmetry at the high luminosity LHC
• Composite Twin Dark Matter
• Precision Tests and Fine Tuning in Twin Higgs Models
• The Brother Higgs
• Uncovering the High Scale Higgs Singlet Model
• Hypercharged Naturalness
• The quirk signal at FASER and FASER 2
• Singleton Portals to the Twin Sector
• Twin Turtles
• The quirk trajectory
• Discovering Quirks through Timing at FASER and Future Forward Experiments at the LHC
• Probing Higgs portals with matrix-element based kinematic discriminants in $ZZ\to 4\ell$ production
• Uncovering quirk signal via energy loss inside tracker
• Higgs-Precision Constraints on Colored Naturalness
• Little Conformal Symmetry
• The Hierarchy Problem: From the Fundamentals to the Frontiers
• EFT, decoupling, Higgs boson mixing, and higher dimensional operators
• Review of Neutral Naturalness
• The Forward Physics Facility at the High-Luminosity LHC
• Letter of Intent: The Forward Physics Facility