5,128 research outputs found
The global electroweak Standard Model fit after the Higgs discovery
We present an update of the global Standard Model (SM) fit to electroweak
precision data under the assumption that the new particle discovered at the LHC
is the SM Higgs boson. In this scenario all parameters entering the
calculations of electroweak precision observalbes are known, allowing, for the
first time, to over-constrain the SM at the electroweak scale and assert its
validity. Within the SM the W boson mass and the effective weak mixing angle
can be accurately predicted from the global fit. The results are compatible
with, and exceed in precision, the direct measurements. An updated
determination of the S, T and U parameters, which parametrize the oblique
vacuum corrections, is given. The obtained values show good consistency with
the SM expectation and no direct signs of new physics are seen. We conclude
with an outlook to the global electroweak fit for a future e+e- collider.Comment: 10 pages, 7 figures. Update: added a reference. To be published in
the proceedings of the Rencontres de Moriond, La Thuile, Valle d'Aosta,
Italy, 2-16 March, 201
On the Cauchy--Rassias Inequality and Linear n-Inner Product Preserving Mappings
We prove the Cauchy-Rassias stability of linear n-inner product preserving
mappings in -inner product Banach spaces. We apply the Cauchy-Rassias
inequality that plays an influencial role in the subject of functional
equations. The inequality was introduced for the first time by Th.M.Rassias in
his paper entitled: On the stability of the linear mapping in Banach spaces,
Proc. Amer. Math.Soc. 72(1978), 297-300.Comment: 13 pages, Added references, and title and abstract change
Interpolation between multi-dimensional histograms using a new non-linear moment morphing method
A prescription is presented for the interpolation between multi-dimensional
distribution templates based on one or multiple model parameters. The technique
uses a linear combination of templates, each created using fixed values of the
model's parameters and transformed according to a specific procedure, to model
a non-linear dependency on model parameters and the dependency between them. By
construction the technique scales well with the number of input templates used,
which is a useful feature in modern day particle physics, where a large number
of templates is often required to model the impact of systematic uncertainties.Comment: 20 pages, 6 figures. Algorithm publicly available in RooFi
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