scholarly journals Fighting off field dependence in MSSM Higgs-mass corrections of order $$\alpha _t\,\alpha _s$$ and $$\alpha _t^2$$

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Florian Domingo ◽  
Sebastian Paßehr
Keyword(s):  
Standard Model ◽  
Iterative Method ◽  
Field Dependence ◽  
Higgs Mass ◽  
The Other ◽  
Momentum Dependence ◽  
The Standard Model ◽  
Fixed Order ◽  
Renormalization Constants ◽  
Field Renormalization

AbstractThe connection between gauge and Higgs sectors makes supersymmetric extensions of the Standard Model predictive frameworks for the derivation of Higgs masses. In this paper, we study the contamination of such predictions by field-renormalization constants, in the MSSM with two-loop gaugeless corrections of $$\mathcal {O}\big (\alpha _{t,b}\,\alpha _s,\,\alpha _{t,b}^2\big )$$ O ( α t , b α s , α t , b 2 ) and full momentum dependence, and demonstrate how strict perturbative expansions allow to systematically neutralize the dependence on such unphysical objects. On the other hand, the popular procedure consisting in an iterative pole search remains explicitly dependent on field counterterms. We then analyze the magnitude of the intrinsic uncertainty that this feature implies for the iterative method, both in non-degenerate and near-degenerate regimes, and conclude that this strategy does not improve on the predictions of the more straightforward expansion. We also discuss several features related to the inclusion of the orders $$\alpha _{t,b}\,\alpha _s$$ α t , b α s and $$\alpha _{t,b}^2$$ α t , b 2 in the so-called ‘fixed-order’ approach, such as the resummation of UV-logarithms for heavy supersymmetric spectra.

scholarly journals A CALCULATION OF HIGGS MASS IN THE STANDARD MODEL

2000 ◽  
Vol 15 (26) ◽  
pp. 1605-1610 ◽  
Author(s):  
J. PASUPATHY
Keyword(s):  
Standard Model ◽  
Yukawa Coupling ◽  
Higgs Mass ◽  
Renormalization Scale ◽  
The Standard Model ◽  
Gauge Couplings ◽  
Top Mass

The assumption that the ratio of the Higgs self-coupling to the square of its Yukawa coupling to the top is (almost) independent of the renormalization scale fixes the Higgs mass within narrow limits at m H =160 GeV using only the values of gauge couplings and top mass.

Comments on the Market Crash: Six Months After

1988 ◽  
Vol 2 (3) ◽  
pp. 45-50 ◽  
Author(s):  
Hayne Leland ◽  
Mark Rubinstein
Keyword(s):  
Standard Model ◽  
Real Life ◽  
The Other ◽  
Financial Equilibrium ◽  
The Standard Model ◽  
Trading Mechanisms

Six months after the market crash of October 1987, we are still sifting through the debris searching for its cause. Two theories of the crash sound plausible -- one based on a market panic and the other based on large trader transactions -- though there is other evidence that is difficult to reconcile. If we are to believe the market panic theory or the Brady Commission's theory that the crash was primarily caused by a few large traders, we must strongly reject the standard model. We need to build models of financial equilibrium which are more sensitive to real life trading mechanisms, which account more realistically for the formation of expectations, and which recognize that, at any one time, there is a limited pool of investors available with the ability to evaluate stocks and take appropriate action in the market.

scholarly journals Weak scale from Planck scale: Mass scale generation in a classically conformal two-scalar system

2020 ◽  
Vol 2020 (3) ◽  
Author(s):  
Junichi Haruna ◽  
Hikaru Kawai
Keyword(s):  
Scalar Field ◽  
Standard Model ◽  
Planck Scale ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
The Other ◽  
Expectation Value ◽  
Weak Scale ◽  
The Standard Model ◽  
The One

Abstract In the standard model, the weak scale is the only parameter with mass dimensions. This means that the standard model itself cannot explain the origin of the weak scale. On the other hand, from the results of recent accelerator experiments, except for some small corrections, the standard model has increased the possibility of being an effective theory up to the Planck scale. From these facts, it is naturally inferred that the weak scale is determined by some dynamics from the Planck scale. In order to answer this question, we rely on the multiple point criticality principle as a clue and consider the classically conformal $\mathbb{Z}_2\times \mathbb{Z}_2$ invariant two-scalar model as a minimal model in which the weak scale is generated dynamically from the Planck scale. This model contains only two real scalar fields and does not contain any fermions or gauge fields. In this model, due to a Coleman–Weinberg-like mechanism, the one-scalar field spontaneously breaks the $ \mathbb{Z}_2$ symmetry with a vacuum expectation value connected with the cutoff momentum. We investigate this using the one-loop effective potential, renormalization group and large-$N$ limit. We also investigate whether it is possible to reproduce the mass term and vacuum expectation value of the Higgs field by coupling this model with the standard model in the Higgs portal framework. In this case, the one-scalar field that does not break $\mathbb{Z}_2$ can be a candidate for dark matter and have a mass of about several TeV in appropriate parameters. On the other hand, the other scalar field breaks $\mathbb{Z}_2$ and has a mass of several tens of GeV. These results will be verifiable in near-future experiments.

scholarly journals REMARKS ON THE VALUE OF THE HIGGS MASS FROM THE PRESENT LEP DATA

1995 ◽  
Vol 10 (10) ◽  
pp. 845-852 ◽  
Author(s):  
M. CONSOLI ◽  
Z. HIOKI
Keyword(s):  
Standard Model ◽  
Higgs Mass ◽  
Detailed Comparison ◽  
The Other ◽  
Firm Conclusion ◽  
Other Hand ◽  
Model Predictions ◽  
The One

We perform a detailed comparison of the present LEP data with the one-loop standard model predictions. It is pointed out that for mt = 174 GeV the "bulk" of the data prefers a rather large value of the Higgs mass in the range of 500–1000 GeV, in agreement with the indications from the W mass. On the other hand, to accommodate a light Higgs it is crucial to include the more problematic data for the τ FB asymmetry. We discuss further improvements on the data which are required to obtain a firm conclusion.

clause whereby it was a condition of acceptance that goods would be charged at prices ruling at the date of delivery. The defendant buyers replied on 27 May 1969, giving an order with differences from the sellers’ quotation and with their own terms and conditions, which had no price variation clause. The order had a tear-off acknowledgment for signature and return which accepted the order ‘on the terms and conditions thereon’. On 5 June 1969, the sellers, after acknowledging receipt of the order on 4 June, returned the acknowledgment form duly completed with a covering letter stating that delivery was to be ‘in accordance with our revised quotation of 23 May for delivery in ... March/April 1970’. The machine was ready by about September 1970, but the buyers could not accept delivery until November 1970. The sellers invoked the price increase clause and claimed £2,892 for the increase due to the rise in costs between 27 May 1969 and 1 April 1970, when the machine should have been delivered. Thesiger J gave judgment for the sellers for £2,892 and interest. The buyers appealed. The Court of Appeal unanimously reversed the first instance decision, all three judges feeling that the conclusive act was the sellers’ return of the tear-off acknowledgment slip. However, the reasons given by the judges for arriving at their decision differed. Bridge LJ and Lawton LJ broadly applied the standard model of ‘offer – counter-offer – acceptance’ to this ‘battle of the forms’, although both of them were clearly aware of the difficulties that this would cause. Lord Denning’s approach, not untypically, ranged much more widely. Unlike the other two judges, who can be seen to adopt a broadly ‘last shot’ theory (that is, that the ‘battle’ is won by the person who submits their terms last), Lord Denning was prepared to countenance a number of other possibilities. The following passages serve to indicate these divergences in approach: Butler Machine Tool Co Ltd v Ex-Cell-O Corpn (England) Ltd [1979] 1 WLR 401, CA, p 402

1995 ◽  
pp. 118-124
Keyword(s):  
Standard Model ◽  
Machine Tool ◽  
Price Increase ◽  
The Other ◽  
Price Variation ◽  
Covering Letter ◽  
The Standard Model ◽  
Court Of Appeal

scholarly journals PRECISION MASS DETERMINATION OF THE HIGGS BOSON AT PHOTON–PHOTON COLLIDERS

2000 ◽  
Vol 15 (16) ◽  
pp. 2605-2611 ◽  
Author(s):  
TOMOMI OHGAKI
Keyword(s):  
Higgs Boson ◽  
Standard Model ◽  
Higgs Mass ◽  
Statistical Error ◽  
High Energy ◽  
Boson Mass ◽  
Total Width ◽  
Mass Determination ◽  
The Standard Model

We demonstrate a measurement of the Higgs boson mass by the method of energy scanning at photon–photon colliders, using the high energy edge of the photon spectrum. With an integrated luminosity of 50 fb-1 it is possible to measure the standard model Higgs mass to within 110 MeV in photon–photon collisions for mh=100 GeV. As for the total width of the Higgs boson, the statistical error ΔΓh/Γh SM=0.06 is expected for mh=100 GeV, if both Γ(h→γγ) and [Formula: see text] are fixed at the predicted standard model value.

scholarly journals The force and gravity of events

2016 ◽  
Vol 31 (16) ◽  
pp. 1630015 ◽  
Author(s):  
Robert Delbourgo
Keyword(s):  
Standard Model ◽  
Cosmological Constant ◽  
Ricci Scalar ◽  
The Other ◽  
Gauge Fields ◽  
Generalized Metric ◽  
The Standard Model ◽  
Property Space

Local events are characterized by “where”, “when” and “what”. Just as (bosonic) spacetime forms the backdrop for location and time, (fermionic) property space can serve as the backdrop for the attributes of a system. With such a scenario I shall describe a scheme that is capable of unifying gravitation and the other forces of nature. The generalized metric contains the curvature of spacetime and property separately, with the gauge fields linking the bosonic and fermionic arenas. The super-Ricci scalar can then automatically yield the spacetime Lagrangian of gravitation and the Standard Model (plus a cosmological constant) upon integration over property coordinates.

LIMITS ON NON-NEWTONIAN GRAVITY AND HYPOTHETICAL FORCES FROM MEASUREMENTS OF THE CASIMIR FORCE

2005 ◽  
Vol 20 (11) ◽  
pp. 2222-2231 ◽  
Author(s):  
F. CHEN ◽  
U. MOHIDEEN ◽  
P. W. MILONNI
Keyword(s):  
Standard Model ◽  
Extra Dimensions ◽  
Casimir Force ◽  
Gravitational Force ◽  
The Other ◽  
Newtonian Gravity ◽  
The Standard Model ◽  
Fundamental Forces ◽  
Two Bodies ◽  
New Particles

Modern unification theories that seek to unify gravity with the other fundamental forces predict a host of new particles outside the standard model. Many also invoke extra dimensions. Both of these effects lead to deviations from Newtonian gravity. For sub micron distance between two bodies, the Casimir force far exceeds the gravitational force. Thus both understanding and using the Casimir force is very important for checking the relevance of these unification theories. In particular, measurements of the Casimir force has allowed one to set some of the strongest constraints for corresponding distance regions. This paper summarizes the techniques used to measure the Casimir force and some of the limits that follow from them.

scholarly journals HIGGS MASS FROM A CASIMIR ENERGY INDUCED COSMOLOGICAL CONSTANT IN THE STANDARD MODEL

2004 ◽  
Vol 19 (13n16) ◽  
pp. 1195-1201
Author(s):  
XIAO-GANG HE
Keyword(s):  
Standard Model ◽  
Symmetry Breaking ◽  
Cosmological Constant ◽  
Spontaneous Symmetry Breaking ◽  
Particle Physics ◽  
Higgs Mass ◽  
Vacuum Energy ◽  
Casimir Energy ◽  
Renormalization Scale ◽  
The Standard Model

Casimir vacuum energy is divergent. It needs to be regularized. The regularization introduces a renormalization scale which may lead to a scale dependent cosmological constant. We show that the requirement of physical cosmological constant is renormalization scale independent provides important constraints on possible particle contents and their masses in particle physics models. In the Standard Model of strong and electroweak interactions, besides the Casimir vacuum energy there is also vacuum energy induced from spontaneous symmetry breaking. The requirement that the total vacuum energy to be scale independent dictates the Higgs mass to be [Formula: see text] where the summation is over fermions and Ni equals to 3 and 1 for quarks and leptons, respectively. The Higgs mass is predicted to be approximately 382 GeV.

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