Supersymmetric framework for a dynamical fermion mass hierarchy

Jul, 1996
47 pages
Published in:
  • Phys.Rev.D 54 (1996) 7032-7050
e-Print:
Report number:
  • LBL-38911,
  • LBNL-38911,
  • UCB-PTH-96-22

Citations per year

19962003201020172022024681012
Abstract:
We propose a new framework for constructing supersymmetric theories of flavor, in which flavor symmetry breaking is triggered by the dynamical breakdown of supersymmetry at low energies. All mass scales in our scheme are generated from the supersymmetry breaking scale ΛSSB10 7\Lambda_{SSB} \approx 10~7 GeV through radiative corrections. We assume a spontaneously broken flavor symmetry and the Froggatt-Nielsen mechanism for generating the fermion Yukawa couplings. Supersymmetry breaking radiatively induces a vacuum expectation value for a scalar field, which generates invariant masses for the Froggatt-Nielsen fields at MF10 4M_F \approx 10~4 GeV. `Flavon' fields φ\varphi, which spontaneously break the flavor symmetry, naturally acquire negative squared masses due to two-loop diagrams involving the Froggatt-Nielsen fields, and acquire vacuum expectation values of order φMF/16π 2\langle \varphi \rangle \approx M_F/16\pi~2. The fermion mass hierarchy arises in our framework as a power series in the ratio φ/MF1/16π 2\langle \varphi \rangle / M_F \approx 1/16\pi~2.
  • 12.60.Jv
  • 12.15.Ff
  • fermion: mass
  • mass: fermion
  • mass: hierarchy
  • hierarchy: mass
  • supersymmetry: symmetry breaking
  • symmetry breaking: flavor
  • radiative correction
  • coupling: Yukawa