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Hierarchies without symmetries from extra dimensions

Open access
Arkani-Hamed, Nima, Schmaltz, Martin·2000·Physical Review D

Abstract

It is commonly thought that small couplings in a low-energy theory, such as those needed for the fermion mass hierarchy or proton stability, must originate from symmetries in a high-energy theory. We show that this expectation is violated in theories where the standard model fields are confined to a thick wall in extra dimensions, with the fermions ``stuck'' at different points in the wall. Couplings between them are then suppressed due to the exponentially small overlaps of their wave functions. This provides a framework for understanding both the fermion mass hierarchy and proton stability without imposing symmetries, but rather in terms of higher dimensional geography. A model independent prediction of this scenario is non-universal couplings of the standard model fermions to the ``Kaluza-Klein'' excitations of the gauge fields. This allows a measurement of the fermion locations in the extra dimensions at the CERN LHC or NLC if the wall thickness is close to the TeV scale.

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Metadata

Authors
Arkani-Hamed, N., & Schmaltz, M.
Venue
Physical Review D
Published
2000-01-04
Volume
61
Issue
3
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
OpenAlex
W2065971246
Cited by
726
References
2
FWCI
41.87
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Hierarchies without symmetries from extra dimensions. https://app.cochat.ai/papers/10.1103/physrevd.61.033005
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Arkani-Hamed, N., & Schmaltz, M. (2000). Hierarchies without symmetries from extra dimensions. Physical Review D. https://doi.org/10.1103/physrevd.61.033005

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