<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>s</mml:mi><mml:mi>γ</mml:mi></mml:math>decays in the left-right symmetric model

Kim, C. S.; Kim, Yeong Gyun

doi:10.1103/physrevd.61.054008

Cited by 43 publications

(65 citation statements)

References 13 publications

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“…Also for the solutions in Ref. [50,51], which has Ω = Ω(y) and b = b(y), the restriction is automatic. The solution found in [48] violates assumption (iii) as 4d Lorentz symmetry is broken.…”

Section: The Metric Restrictionmentioning

confidence: 99%

A no-go for no-go theorems prohibiting cosmic acceleration in extra dimensional models

Koster

Postma

2011

J. Cosmol. Astropart. Phys.

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A four-dimensional effective theory that arises as the low-energy limit of some extra-dimensional model is constrained by the higher dimensional Einstein equations. Steinhardt & Wesley use this to show that accelerated expansion in our four large dimensions can only be transient in a large class of Kaluza-Klein models that satisfy the (higher dimensional) null energy condition [1]. We point out that these no-go theorems are based on a rather ad-hoc assumption on the metric, without which no strong statements can be made.

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Section: The Metric Restrictionmentioning

confidence: 99%

A no-go for no-go theorems prohibiting cosmic acceleration in extra dimensional models

Koster

Postma

2011

J. Cosmol. Astropart. Phys.

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“…background metrics are given in [4,5], and the AdS ± 4 background metrics are given in [4].) For the brane world the gravitational fluctuations around these six backgrounds are most readily treated in the axial gauge where the transverse-traceless tensor fluctuation modes…”

Section: Wave Equations For Gravitational Fluctuationsmentioning

confidence: 99%

Completeness of non-normalizable modes

Mannheim¹,

Simbotin²

2006

J. Phys. A: Math. Gen.

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We establish the completeness of some characteristic sets of non-normalizable modes by constructing fully localized square steps out of them, with each such construction expressly displaying the Gibbs phenomenon associated with trying to use a complete basis of modes to fit functions with discontinuous edges. As well as being of interest in and of itself, our study is also of interest to the recently introduced large extra dimension brane-localized gravity program of Randall and Sundrum, since the particular non-normalizable mode bases that we consider (specifically the irregular Bessel functions and the associated Legendre functions of the second kind) are associated with the tensor gravitational fluctuations which occur in those specific brane worlds in which the embedding of a maximally four-symmetric brane in a five-dimensional anti-de Sitter bulk leads to a warp factor which is divergent. Since the brane-world massless four-dimensional graviton has a divergent wave function in these particular cases, its resulting lack of normalizability is thus not seen to be any impediment to its belonging to a complete basis of modes, and consequently its lack of normalizability should not be seen as a criterion for not including it in the spectrum of observable modes. Moreover, because the divergent modes we consider form complete bases, we can even construct propagators out of them in which these modes appear as poles with residues which are expressly finite. Thus even though normalizable modes appear in propagators with residues which are given as their finite normalization constants, non-normalizable modes can just as equally appear in propagators with finite residues too -it is just that such residues will not be associated with bilinear integrals of the modes.

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“…The mixing angle θ ν entering Eq. (28), and defined in Eq. (29)- (30), is calculated in Appendix B, in case the neutrino mass matrix is given by Eq.…”

Section: Implications For the Parameters Of Thementioning

confidence: 99%

“…We recall that this limit is nothing else but an expression of the experimental bound (28) originating from considerations on the number of neutrino families. In Fig.…”

Section: Constraint On the Parameter Xmentioning

confidence: 99%

Realistic neutrino masses from multi-brane extensions of the Randall-Sundrum model?

Moreau

2005

Eur. Phys. J. C

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Scenarios based on the existence of large or warped (Randall-Sundrum model) extra dimensions have been proposed for addressing the long standing puzzle of gauge hierarchy problem. Within the contexts of both those scenarios, a novel and original type of mechanism generating small (Dirac) neutrino masses, which relies on the presence of additional right-handed neutrinos that propagate in the bulk, has arisen. The main objective of the present study is to determine whether this geometrical mechanism can produce reasonable neutrino masses also in the interesting multi-brane extensions of the Randall-Sundrum model. We demonstrate that, in some multi-brane extensions, neutrino masses in agreement with all relevant experimental bounds can indeed be generated but at the price of a constraint (stronger than the existing ones) on the bulk geometry, and that the other multi-brane models even conflict with those experimental bounds.

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b→sγdecays in the left-right symmetric model

Cited by 43 publications

References 13 publications

A no-go for no-go theorems prohibiting cosmic acceleration in extra dimensional models

A no-go for no-go theorems prohibiting cosmic acceleration in extra dimensional models

Completeness of non-normalizable modes

Realistic neutrino masses from multi-brane extensions of the Randall-Sundrum model?

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