Higgs mass in noncommutative geometry

Devastato, Agostino; Lizzi, Fedele; Martinetti, Pierre

doi:10.1002/prop.201400013

Cited by 36 publications

(41 citation statements)

References 20 publications

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“…The model is in agreement with particle physics data, such as the top quark mass [1] and, as recent studies have shown [11,12], it is also consistent with the Higgs mass. It is worth noting that in the original model [1], the Higgs mass in the zeroth order approximation was found to be 170 GeV, inconsistent with recent particle physics experiments.…”

supporting

confidence: 84%

Constraints on noncommutative spectral action from Gravity Probe B and torsion balance experiments

Lambiase

Sakellariadou

Stabile

2013

J. Cosmol. Astropart. Phys.

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Abstract. Noncommutative spectral geometry offers a purely geometric explanation for the standard model of strong and electroweak interactions, including a geometric explanation for the origin of the Higgs field. Within this framework, the gravitational, the electroweak and the strong forces are all described as purely gravitational forces on a unified noncommutative space-time. In this study, we infer a constraint on one of the three free parameters of the model, namely the one characterising the coupling constants at unification, by linearising the field equations in the limit of weak gravitational fields generated by a rotating gravitational source, and by making use of recent experimental data. In particular, using data obtained by Gravity Probe B, we set a lower bound on the Weyl term appearing in the noncommutative spectral action, namely β 10 −6 m −1 . This constraint becomes stronger once we use results from torsion balance experiments, leading to β 10 4 m −1 . The latter is much stronger than any constraint imposed so far to curvature squared terms.

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supporting

confidence: 84%

Constraints on noncommutative spectral action from Gravity Probe B and torsion balance experiments

Lambiase

Sakellariadou

Stabile

2013

J. Cosmol. Astropart. Phys.

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“…The minimum possible value for k is 4 leading to the correct number of k 2 = 16 fermions in each of the three generations. Higher values of k can lead to particle physics models beyond the Standard Model [24,25]. The spectral geometry in the product M × F is given by the product rules:…”

Section: B the Case Of Noncommutative Spectral Geometrymentioning

confidence: 99%

Constraining models of extended gravity using Gravity Probe B and LARES experiments

et al. 2015

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We consider models of Extended Gravity and in particular, generic models containing scalartensor and higher-order curvature terms, as well as a model derived from noncommutative spectral geometry. Studying, in the weak-field approximation, the geodesic and Lense-Thirring processions, we impose constraints on the free parameters of such models by using the recent experimental results of the Gravity Probe B and LARES satellites.

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“…We now take the step beyond effective field theory and investigate the spectral dimension arising from the inverse propagators (14) including the full momentum dependence. Comparing Figs.…”

Section: B Propagators With Full Momentum Dependencementioning

confidence: 99%

“…These models may also be extended to include physics beyond the standard model [13][14][15][16] or supersymmetry [17][18][19][20]. Their renormalization has been studied in [21][22][23][24][25] and the phenomenological implications of the resulting effective actions have been carried out, e.g., in [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Spectral dimensions from the spectral action

2015

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The generalised spectral dimension DS(T ) provides a powerful tool for comparing different approaches to quantum gravity. In this work, we apply this formalism to the classical spectral actions obtained within the framework of almost-commutative geometry. Analysing the propagation of spin-0, spin-1 and spin-2 fields, we show that a non-trivial spectral dimension arises already at the classical level. The effective field theory interpretation of the spectral action yields plateaustructures interpolating between a fixed spin-independent DS(T ) = dS for short and DS(T ) = 4 for long diffusion times T . Going beyond effective field theory the spectral dimension is completely dominated by the high-momentum properties of the spectral action, yielding DS(T ) = 0 for all spins. Our results support earlier claims that high-energy bosons do not propagate.

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Higgs mass in noncommutative geometry

Cited by 36 publications

References 20 publications

Constraints on noncommutative spectral action from Gravity Probe B and torsion balance experiments

Constraints on noncommutative spectral action from Gravity Probe B and torsion balance experiments

Constraining models of extended gravity using Gravity Probe B and LARES experiments

Spectral dimensions from the spectral action

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