3-branes and uniqueness of the Salam–Sezgin vacuum

Gibbons, G. W.; Güven, R.; Pope, C.N.

doi:10.1016/j.physletb.2004.06.048

Cited by 133 publications

(333 citation statements)

References 18 publications

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“…6 Because these are unperturbed modes, they do not yet 'know' about the Higgs-bulk couplings, and so satisfy the comparatively simple near-brane Neumann conditions corresponding to no brane couplings, 30) and satisfy the traditional Sturm-Liouville bulk normalization relations…”

Section: Perturbative Methodsmentioning

confidence: 99%

“…In principle we also must satisfy the Einstein equations (and equations for any other bulk fields), but instead we use the fact that we do not require more than the near-brane form for f (r) to side-step the effort of doing so. (See, however, [30] for many explicit solutions to the 6D supergravity equations, including both those where the branes at r = 0 and r = πR have different properties. Many among these solutions are consistent with the near-brane forms being assumed here.…”

Section: Bulk Field Equations and Vacuum Solutionsmentioning

confidence: 99%

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Bulk stabilization, the extra-dimensional Higgs portal and missing energy in Higgs events

Diener

Burgess

2013

J. High Energ. Phys.

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To solve the hierarchy problem, extra-dimensional models must explain why the new dimensions stabilize to the right size, and the known mechanisms for doing so require bulk scalars that couple to the branes. Because of these couplings the energetics of dimensional stabilization competes with the energetics of the Higgs vacuum, with potentially observable effects. These effects are particularly strong for one or two extra dimensions because the bulkHiggs couplings can then be super-renormalizable or dimensionless. Experimental reach for such extra-dimensional Higgs 'portals' are stronger than for gravitational couplings because they are less suppressed at low-energies. We compute how Higgs-bulk coupling through such a portal with two extra dimensions back-reacts onto properties of the Higgs boson. When the KK mass is smaller than the Higgs mass, mixing with KK modes results in an invisible Higgs decay width, missing-energy signals at high-energy colliders, and new mechanisms of energy loss in stars and supernovae. Astrophysical bounds turn out to be complementary to collider measurements, with observable LHC signals allowed by existing constraints. We comment on the changes to the Higgs mass-coupling relationship caused by Higgs-bulk mixing, and how the resulting modifications to the running of Higgs couplings alter vacuum-stability and triviality bounds.

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Section: Perturbative Methodsmentioning

confidence: 99%

Section: Bulk Field Equations and Vacuum Solutionsmentioning

confidence: 99%

Bulk stabilization, the extra-dimensional Higgs portal and missing energy in Higgs events

Diener

Burgess

2013

J. High Energ. Phys.

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“…For compact dimensions, the gauge flux is quantized in the presence of charged particles [5,9,10,13] as…”

Section: Flux Quantizationmentioning

confidence: 99%

“…Thus, 4D flat space is a unique maximally symmetric solution [10]. Moreover, let us assume that the compact extra dimensions are free of singularities and Φ and W are regular in extra dimensions.…”

Section: Appendix: Derivation Of the General Warped Solutionmentioning

confidence: 99%

The general warped solution with conical branes in six-dimensional supergravity

Lee¹,

Lüdeling²

2006

J. High Energy Phys.

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We present the general regular warped solution with 4D Minkowski spacetime in six-dimensional gauged supergravity. In this framework, we can easily embed multiple conical branes into the warped geometry by choosing an undetermined holomorphic function. As an example, for the holomorphic function with many zeroes, we find warped solutions with multi-branes and discuss the generalized flux quantization in this case.

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“…Using the identities 1 45) the integral over the z variable yields 46) where the integration range has been derived from the conditions 0 < x b = τ 0 /x a < 1 and 4x 2 ⊥ < τ 0 , which imply τ 0 < x a < 1 and x ⊥,min < x ⊥ < √ τ 0 /2. Finally, integration over x ⊥ leads to σ gg→γg pp→γX = 1 9 Relative contributions of initial state partons (ij = gg, gq, gq, and qq) to R 1 τ 0 fi(xa, Q) fj (τ0/xa, Q) dxa/xa, with varying string scale.…”

Section: The String Signalmentioning

confidence: 99%

Manifestations of string theory in astrophysical data and at the LHC

Nawata

2009

Fortschritte der Physik

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With the advent of the LHC and the continuing influx of cosmological data, phenomenological aspects of string theory have received renewed attention in recent years and many problems have been properly incorporated in this framework. For instance, recent theoretical considerations in string theory have applied a statistical approach to the enormous landscape of metastable vacua. The large number of vacua may shed some light on the cosmological constant problem. In addition, in string theory, attempts have been made to address the hierarchy problem within the context of the existence of large or warped internal dimensions transverse to a braneworld where we are confined, which lowers the effective scale of gravity to the TeV region. If this were the case, unseen dimensions of the space-time can be at the border of the energy domain within reach of the next generation of particle accelerators.iii Although the picture of the landscape may be the key to the cosmological constant problem, it is well-known that the compactification of a string background to a four dimensional solution undergoing accelerating expansion is difficult, which is described by the no-go theorem of Maldacena-Nuñez. In the first part of this Dissertation, we investigate the cosmological content of the Salam-Sezgin supergravity which circumvents one of the hypotheses of the no-go theorem of Maldacena-Nuñez and consequently can support a de Sitter phase when lifted to string theory. We find a solution to the field equations in qualitative agreement with the observed dark energy density. The carrier of the acceleration in the present de Sitter epoch is a quintessence field slowly rolling down its exponential potential.Intrinsic to this model, there is a second modulus, which is automatically stabilized and acts as a source of cold dark matter with a mass proportional to an exponential function of the quintessence field.In the second part, we explore a "new physics" signal at LHC, in the processes pp → γ + jet, pp → γγ, and pp → dijet. In D-brane quivers, there are one or more additional U (1) gauge symmetries, beyond the U (1) Y of the standard model, which follows from the property that the gauge group for open strings terminating on a stack of N identical D-branes is U (N ) rather than SU (N ) for N > 2. Because of this, the photon will participate with the SU (N ) gauge boson in string tree level scattering processes which in the standard model occur only at one-loop level. In order to evaluate this stringy correction, we considered the processes gg → gγ and gg → γγ, and found that cross section measurements of the process pp → γ + jet at the LHC will attain 5σ discovery reach on low scale string models for M string as large as 4 TeV. We have also considered the processes gg → gg, gg → qq, qq → gg, qg → gq andqg →qg, and found that, for the pp → dijet channel, the LHC discovery reach will extend up to M string ∼ 6.8 TeV. Luis Anchordoqui Date iv

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3-branes and uniqueness of the Salam–Sezgin vacuum

Cited by 133 publications

References 18 publications

Bulk stabilization, the extra-dimensional Higgs portal and missing energy in Higgs events

Bulk stabilization, the extra-dimensional Higgs portal and missing energy in Higgs events

The general warped solution with conical branes in six-dimensional supergravity

Manifestations of string theory in astrophysical data and at the LHC

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