Effects of dynamical breaking in SUSY SU(5) to two standard models

Supersymmetric (SUSY) models and dynamical breaking of symmetries have been used to explain hierarchies of mass scales. We find that a chiral representation, $\bar{\bf 10}\, \oplus\, \bar{\bf 5}\, \oplus\, 2\cdot {\bf 5}$ in SUSY SU(5) in the hidden sector, breaks global SUSY dynamically, by producing a composite field $\phi$ below the SU(5) confinement scale. Starting with this dynamincally generated scale, we attempt to explain two vastly different mass scales in two standard models of physics, one in particle physics and the other in cosmology. Gavitational effects transmit this dynamical breaking to the SM superpartners and the quintessential vacuum energy. The SM superpartners feel the effects just by the magnitude of the gravitino mass while the smallness of the quintessential vacuum energy is due to the composite nature of $\phi$. The composite $\phi$ has a global symmetry which is hardly broken in SUSY and hence its phase can be used toward a quintessential axion for dark energy of the Universe.