Extra Spacetime Dimensions and Unification

Abstract

We study the effects of extra spacetime dimensions at intermediate mass scales, as expected in string theories with large-radius compactifications, and focus on the gauge and Yukawa couplings within the Minimal Supersymmetric Standard Model. We find that extra spacetime dimensions naturally lead to the appearance of grand unified theories at scales substantially below the usual GUT scale. Furthermore, we show that extra spacetime dimensions provide a natural mechanism for explaining the fermion mass hierarchy by permitting the Yukawa couplings to receive power-law corrections. We also discuss how proton-decay constraints may be addressed in this scenario, and suggest that proton-decay amplitudes may be exactly cancelled to all orders in perturbation theory as a result of new Kaluza-Klein selection rules corresponding to the extra spacetime dimensions.

16 pages, LaTeX, 3 figures; revised and expanded discussion of Yukawa couplings

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• Rare B decays in a single Universal Extra Dimension scenario
• Semileptonic charmed $B$ meson decays in Universal Extra Dimension Model
• Renormalization Group Treatment of Nonrenormalizable Interactions
• The Hierarchy Problem and the Top Yukawa: An Alternative to Top Partner Solutions
• Nucleon and dinucleon decays to leptonic final states in a left-right symmetric model with large extra dimensions
• Supersymmetry without the Desert
• Distinctive ultraviolet structure of extra-dimensional Yang-Mills theories by integration of heavy Kaluza-Klein modes
• Confronting Higgs couplings from D-term extensions and Natural SUSY at the LHC and ILC
• Supersymmetry breaking in 5-dimensional space-time with S**1/Z(2) compactification
• Unified Models at Intermediate Energy Scales and Kaluza-Klein Excitations
• Echoes of the fifth dimension?
• UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
• Gravitational Origin of Quark Masses in an Extra-Dimensional Brane World
• Brane World Gravity in an AdS Black Hole
• A New Mechanism for Radius Stabilization in Warped Supersymmetry
• Electroweak-Higgs Unification and the Higgs Boson Mass
• Classification of 5-Dimensional Space-Time with Parallel 3-Branes
• Successful Yukawa structures in Warped Extra Dimensions
• Phenomenology of the 1/N${}_f$ Expansion for Field Theories in Extra Dimensions
• Constraints on Universal Extra Dimension models with gravity mediated decays from ATLAS diphoton search
• Lightest Kaluza-Klein graviton mode in a backreacted Randall-Sundrum scenario
• Fat brane, dark matter and localized kinetic terms in six dimensions
• Constraining Bosonic Supersymmetry from Higgs results and 8 TeV ATLAS multi-jets plus missing energy data
• Deconstructing Superconductivity
• Constraints on realistic Gauge-Higgs unified models
• Two-loop corrections and predictability on orbifold
• Compactified Quantum Fields. Is there Life Beyond the Cut-off Scale?
• Compactified extra dimension and entanglement island as clues to quantum gravity
• Gauge Coupling Unification in a 6D SO(10) Orbifold GUT
• Options for Orbifold-GUT Model Building from Five-Dimensional Supergravity
• Renormalization and ultraviolet sensitivity of gauge vertices in universal extra dimensions
• A Bulk Effect to SUSY Effective Potential in a 5D Super-Yang-Mills Model
• Power law in a gauge-invariant cut-off regularisation
• Softening of SUSY flavor problem from asymptotically free bulk interactions
• A simple 5D SO(10) GUT and sparticle masses
• Sculpting the Standard Model from low-scale Gauge-Higgs-Matter $E_8$ Grand Unification in ten dimensions
• Mini Black Holes at the LHC: Discovery Through Di-Jet Suppression, Mono-Jet Emission and a Supersonic Boom in the Quark-Gluon Plasma in ALICE, ATLAS and CMS
• Extra dimensions prefer large $\tan \beta$
• Adjoint bulk scalars and supersymmetric unification in the presence of extra dimensions
• Precursors From $S^{(1)}/Z_2\tm Z_2'$ Orbifold GUTs
• Seeking TeV-Scale Quantum Gravity at an $e\gamma$ collider
• Fat brane and seesaw mechanism in extra dimensions
• The impact of nonminimal Universal Extra Dimensional model on $\Delta B=2$ transitions
• Top quark physics in the Large Hadron Collider era
• Absolutely Stable Proton and Lowering the Gauge Unification Scale
• Dilepton + jet signature of Split-UED at the LHC
• Production of the top-pions from the higgsless--top-Higgs model at the LHC
• Spacetime is spinorial; new dimensions are timelike
• The lightest Higgs boson mass in effective field theory with bulk and brane supersymmetry breaking
• Light Cone Sum Rules and Form Factors for $p\to e^{+}\gamma$
• Possible Scales of New Physics
• Revisiting instabilities of $S^1/Z_2$ models with loop-induced Fayet-Iliopoulos terms
• Mirage Gauge Coupling Unification and TeV Scale Strings
• Intermediate-scale vertex corrections for zero mode in warped space
• Extra-dimensional gravity and dijet production at gamma gamma colliders
• Possible Origin of Fermion Chirality and Gut Structure From Extra Dimensions
• Gauge Threshold Corrections in Warped Geometry
• Possible Limits on Photon Propagation from Quantum Gravity and Space-time Foam
• Low Energy Gauge Unification Theory
• Bounds on the compactification scale of two universal extra dimensions from exclusive $b\to s\gamma$ decays
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• Higgs-Like Field and Extra Dimensions
• Decline and Fall of the Standard Model?
• Non Linear Breaking of the Electroweak Symmetry and Large Extra Dimensions
• Gravity and Large Extra Dimensions
• Probing TeV-scale gauge unification by hadronic collisions
• Fermion Masses and Mixing in Four and More Dimensions
• Split supersymmetry and the role of a light fermion in a supergravity-based scenario
• TeV-scale Supersymmetric Standard Model with Higgs as a Slepton
• The Earliest Phase Transition?
• Moduli Forces in String Models with Large Internal Dimensions
• Asymptotic grand unification in SO(10) with one extra dimension
• Twisted Boundary Conditions and Matching to the Effective Four Dimensional Theory
• d = 11 Supergravity on almost flat R^4 times a compact hyperbolic 7-manifold, and the dip and bump seen in ATLAS-CONF-2010-088
• Natural TeV-Scale Gravity and coupling constant unification, in Heterotic M-Theory, with the usual hidden and visible sectors swapped
• Simple mass relations for bulk fermions
• Left-right symmetry, orbifold $S^1/Z_2$, and radiative breaking of $U(1{)}_{\mathrm{R}}\times U(1{)}_{\mathrm{B}-\mathrm{L}}$
• Quantization and High Energy Unitarity in Orbifold Theories
• Spontaneous and dynamical symmetry breaking in higher-dimensional space-time with boundary terms
• Large trilinear $A_t$ soft supersymmetry breaking coupling from 5D MSSM
• Leptogenesis in five-dimensional asymptotic Grand Unification models
• Belle II Constraints on the Non-Minimal Universal Extra Dimensional Model
• Asymptotic Ultraviolet-safe Unification of Gauge and Yukawa Couplings: The exceptional case
• Natural Supersymmetry and Unification in Five Dimensions
• Mass spectrum of scalar and gauge fields in the cosmological multiply warped brane-world
• Proton stability in low-scale extra-dimensional grand unified theories
• Gauge invariance, quantization and integration of heavy modes in a gauge Kaluza-Klein theory
• New Approach to GUTs
• Most attractive channel for self-breaking of grand unification group symmetry
• A Remark on Non-conformal Non-supersymmetric Theories with Vanishing Vacuum Energy Density
• Top Mode Standard Model in Six Dimensions
• Threshold Effects Beyond the Standard Model
• Unscrambling New Models for Higher-Energy Physics
• The Effective Potential And Additional Large Radius Compactified Space-Time Dimensions
• Bulk Majorons at Colliders
• Analytical Solution for Bosonic Fields in the FRW Multiply Warped Braneworld