The Higgs: so simple yet so unnatural

Abstract

We present a concise outlook of particle physics after the first LHC results at 7-8 TeV. The discovery of the Higgs boson at 126 GeV will remain as one of the major physics discoveries of our time. But also the surprising absence of any signals of new physics, if confirmed in the continuation of the LHC experiments, is going to drastically change our vision of the field. At present the indication is that Nature does not too much care about our notion of naturalness. Still the argument for naturalness is a solid one and we are facing a puzzling situation. We review the established facts so far and present a tentative assessment of the open problems.

17 pages, 4 figures. Talk given at the Nobel Symposium on LHC results, Krusenberg, Sweden, 3-17 May 2013. Typos corrected, References added

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• How conventional measures overestimate electroweak fine-tuning in supersymmetric theory
• Phenomenology of the Higgs Effective Lagrangian via FeynRules
• New LHC Benchmarks for the CP-conserving Two-Higgs-Doublet Model
• Physics at a Higgsino Factory
• The Higgs boson -- its implications and prospects for future discoveries
• Gauge Coupling Unification without Supersymmetry
• Life, the universe, and everything - 42 fundamental questions
• Vacuum energy and the cosmological constant
• Six Top Messages of New Physics at the LHC
• Status of Neutrino Mass and Mixing
• Effects of Curvature-Higgs Coupling on Electroweak Fine-Tuning
• Weinberg's Higgs portal confronting recent LUX and LHC results together with upper limits on B^+ and K^+ decay into invisibles
• Leptogenesis scenarios for natural SUSY with mixed axion-higgsino dark matter
• Partially Natural Two Higgs Doublet Models
• Dark Matter in $E_6$ Grand Unification
• Sbottom discovery via mixed decays at the LHC
• Unification of the four forces in the Spin(11,1) geometric algebra
• Searching for New Physics in Semi-Leptonic Baryon Decays
• Polarization in (quasi-)two-body decays and new physics
• Summary of the Nobel Symposium on LHC Results
• Electroweak Symmetry Breaking, Intermediate Regulators and Physics Beyond the Standard Model
• The Standard Model from the LHC to future colliders: a contribution to the Workshop "What Next" of INFN
• Higgsed Stueckelberg Vector and Higgs Quadratic Divergence
• Fine-tuned Spin-3/2 and the Hierarchy Problem