Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-07-12
Phys.Rev.D54:7032-7050,1996
Physics
High Energy Physics
High Energy Physics - Phenomenology
47 pages, LaTeX, 7 EPS files included, psfig required
Scientific paper
10.1103/PhysRevD.54.7032
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 $\Lambda_{SSB} \approx 10^7$ 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 $M_F \approx 10^4$ GeV. `Flavon' fields $\varphi$, 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 $\langle \varphi \rangle \approx M_F/16\pi^2$. The fermion mass hierarchy arises in our framework as a power series in the ratio $\langle \varphi \rangle / M_F \approx 1/16\pi^2$.
Arkani-Hamed Nima
Carone Christopher D.
Hall Lawrence J.
Murayama Hitoshi
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