2013/04/30 by Arthur Hebecker, Alexander Knochel, Alexander K. Knochel +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Electroweak interaction #Electroweak scale #Gauge (firearms) #Higgs boson #Lambda #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Quantum mechanics #Standard Model (mathematical formulation) #String (physics) #Supersymmetry #Symmetry breaking #Theoretical physics #Yukawa potential #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2013.05.004
published as Nucl.Phys. B874 (2013) 1-35 · v4: references added
openalex publication_date 2013/05/10 · arxiv created 2013/10/08 · arxiv updated 2013/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Higgs quartic coupling λ has now been indirectly measured at the electroweak scale. Assuming no new low-scale physics, its running is known and, together with gauge and Yukawa couplings, it is a crucial new piece of information constraining UV completions of the Standard Model. In particular, supersymmetry broken at an intermediate or high energy scale with tanβ=1 (i.e. λ=0) is consistent with present data and has an independent theoretical appeal. We analyze the possible string-theoretic motivations for tanβ=1 (including both the shift-symmetry and the more economical variant of a Z2 symmetry) in a Higgs sector realized on either 6- or 7-branes. We identify specific geometries where λ≃0 may arise naturally and specify the geometrical problems which need to be solved to determine its precise value in the generic case. We then analyze the radiative corrections to λ. Finally we show that, in contrast to naive expectations, λ<0 at the SUSY breaking scale is also possible. Specifically, string theory may produce an MSSM plus chiral singlet at a very high scale, which immediately breaks to a non-SUSY Standard Model with λ<0. This classically unstable theory then becomes metastable through running towards the IR.