Effects of dynamical breaking in SUSY SU(5) to two standard models. (arXiv:1904.07371v1 [hep-th])

<a href="http://arxiv.org/find/hep-th/1/au:+Kim_J/0/1/0/all/0/1">Jihn E. Kim</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Kyae_B/0/1/0/all/0/1">Bumseok Kyae</a>

Supersymmetric (SUSY) models and dynamical breaking of symmetries have been

used to explain hierarchies of mass scales. We find that a chiral

representation, $bar{bf 10}, oplus, bar{bf 5}, oplus, 2cdot {bf 5}$

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.

Supersymmetric (SUSY) models and dynamical breaking of symmetries have been

used to explain hierarchies of mass scales. We find that a chiral

representation, $bar{bf 10}, oplus, bar{bf 5}, oplus, 2cdot {bf 5}$

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.

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