symmetric geometric mass hierarchy

Davidson, Aharon; Schwartz, Tomer; Wali, Kameshwar C.

doi:10.1088/0954-3899/24/9/002

Cited by 3 publications

(3 citation statements)

References 27 publications

(12 reference statements)

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“…With different experiments, the one hand, favour creep, wear, and oxidation Davidson and co-workers [2,6] demonstrated that the degradation of UHMWPE but, on the other hand, temperature of hip implants can increase by about increase the risk of damage of the surrounding soft 10°C during in-vitro and ex-vivo experiments [2,6]. and hard tissues by contributing to implant loosen-Even on a hip joint simulator, Lu and McKellop [7] ing [2,3]. Also the mechanical behaviour of the noted high temperatures, especially with a zirconia UHMWPE under load (in particular, Young's modulus) femoral head against an UHMWPE acetabular cup.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical analysis of ultra-high molecular weight polyethylene-metal hip prostheses

Rocchi

Affatato

Falasca

et al. 2007

Proc Inst Mech Eng H

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In order to predict the frictional heating and the contact stresses between the polyethylene cup and the metallic ball-head forming the articulation of a hip prosthesis a three-dimensional finite element model was developed and calculated. The non-linear model includes a fully coupled thermomechanical formulation of the mechanical properties of the ultra-high-molecular-weight polyethylene, and a large-sliding Coulomb frictional contact between the two components. The model predicts the temperature of the polyethylene with an accuracy that was tested by comparing the model predictions with the temperature measurements. The temperature measurements were taken by thermocouples placed on the cup surface, the head surface and the inside of the thermostatic bath, during a complete test within a hip joint wear simulator. The model was found to be very accurate, predicting the measured temperatures with an accuracy better than 2 per cent. The temperature peak (51 degrees C) was predicted at the contact surface. The model results indicate that frictional heat is mostly dissipated through the metallic ball-head. The full coupling between the thermal and the mechanical conditions used in this study appears to be necessary if accurate predictions of the polyethylene deformation are required.

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Section: Introductionmentioning

confidence: 99%

Thermomechanical analysis of ultra-high molecular weight polyethylene-metal hip prostheses

Rocchi

Affatato

Falasca

et al. 2007

Proc Inst Mech Eng H

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“…Such a mass relation was pointed out in Ref. [10]. In this paper, we calculate the invariant in the lepton sector,…”

Section: Renormalization Group Invariantsmentioning

confidence: 56%

Renormalization group invariant of lepton Yukawa couplings

Tsuyuki

2015

Phys. Rev. D

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By using quark Yukawa matrices only, we can construct renormalization invariants that are exact at the one-loop level in the standard model. One of them $I^q$ is accidentally consistent with unity, even though quark masses are strongly hierarchical. We calculate a lepton version of the invariant $I^l$ for Dirac and Majorana neutrino cases and find that $I^l$ can also be close to unity. For the Dirac neutrino and inverted hierarchy case, if the lightest neutrino mass is 3.0 meV to 8.8 meV, an equality $I^q=I^l$ can be satisfied. These invariants are not changed even if new particles couple to the standard model particles, as long as those couplings are generation independent.Comment: v2: 10 pages, 3 figures, Appendix added, version published in Phys. Rev. D; v1: 8 pages 3 figure

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“…It is tempting to postulate that some New Physics requires the spectrum of the matrix UD to be exactly geometric, (I q P D /I q T D ) ≡ 1, at some (presumably high) energy scale; the data are consistent with this hypothesis, since, as we have shown, if it is geometric at one scale, then it is geometric at all scales, as long as the one-loop RGEs of the SM remain a good approximation. It has long been known [19] that the separate spectra of the charge + 2 3 and charge − 1 3 quarks are approximately geometric:…”

Section: Discussionmentioning

confidence: 99%

Exact one-loop evolution invariants in the standard model

2010

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Guided by considerations of flavour symmetry, we construct a set of exact Standard Model (SM) renormalisation group evolution invariants which link quark masses and mixing parameters. We examine their phenomenological implications and infer a simple combination of Yukawa coupling matrices which plays a unique role in the SM, suggesting a possible new insight into the observed spectrum of quark masses. Our evolution invariants are readily generalised to the leptons in the case of Dirac neutrinos, but do not appear to be relevant for either quarks or leptons in the MSSM.

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symmetric geometric mass hierarchy

Abstract: The Universal Seesaw pattern coupled with a Light↔Heavy symmetry prin- .

Cited by 3 publications

References 27 publications

Thermomechanical analysis of ultra-high molecular weight polyethylene-metal hip prostheses

Thermomechanical analysis of ultra-high molecular weight polyethylene-metal hip prostheses

Renormalization group invariant of lepton Yukawa couplings

Exact one-loop evolution invariants in the standard model

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