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An issue in phenomenology and model building, notably in the standard model of particle physics, concerning discrepancies between the electroweak and Planck scale. For instance, the masses of the W and Z particles, the force carriers of the weak nuclear force, are about 10,000 trillion times smaller than the Planck mass. Thus there is a huge hierarchy in the mass scales of weak nuclear forces and gravity. See Strassler for review.
In the context of M-theory on G2-manifolds (the G2-MSSM) a generic solution to the hierarchy problem is proposed in (Acharya-Kane-Kumar 12, section V.A.2 (p. 10-11)) due to control over non-perturbative effects from membrane instantons, which due to their exponential nature, provide the exponential hierarchy.
In the context of M-theory on G2-manifolds/G2-MSSM a solution is proposed in
Last revised on April 17, 2019 at 09:35:51. See the history of this page for a list of all contributions to it.