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Fitting a data set with a parametrized model can be seen geometrically as finding the global minimum of the chi^2 hypersurface, depending on a set of parameters {P_i}. This is usually done using the Levenberg-Marquardt algorithm. The main…

Data Analysis, Statistics and Probability · Physics 2015-05-30 L. C. Pardo , M. Rovira-Esteva , S. Busch , J. -F. Moulin , J. Ll. Tamarit

We analyze the existing data on the angular distributions of the $\gamma\gamma\to \pi^+ \pi^- ,\pi^0 \pi^0$ reactions with using of the unitary model for helicity 2 amplitude. The purpose is to obtain the D--wave parameters and S--wave…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. E. Kaloshin , V. M. Persikov , V. V. Serebryakov

Let Gamma be a non-elementary Kleinian group acting on the closed n-dimensional unit ball and assume that its Poincare series converges at the exponent alpha. Let M_Gamma be the Gamma-quotient of the open unit ball. We consider certain…

Complex Variables · Mathematics 2007-05-23 James W. Anderson , Kurt Falk , Pekka Tukia

The goal of the SIMBA collaboration is to provide a global fit to the available measurements of inclusive B -> X_s gamma and B -> X_u l nu decays. By performing a global fit one is able to simultaneously determine the relevant…

High Energy Physics - Phenomenology · Physics 2013-03-06 Florian U. Bernlochner , Heiko Lacker , Zoltan Ligeti , Iain W. Stewart , Frank J. Tackmann , Kerstin Tackmann

We present a Mathematica package that takes any reductive gauge algebra and fully-reducible fermion representation, and outputs all semisimple gauge extensions under the condition that they have no additional fermions, and are free of local…

High Energy Physics - Phenomenology · Physics 2023-06-30 Andrew Gomes , Maximillian Ruhdorfer , Joseph Tooby-Smith

Many generalised distributions exist for modelling data with vastly diverse characteristics. However, very few of these generalisations of the normal distribution have shape parameters with clear roles that determine, for instance, skewness…

Methodology · Statistics 2023-12-01 Andriette Bekker , Matthias Wagener , Muhammad Arashi

Assuming the form $\sigma^{\gamma P} \propto l^{\lambda_{\rm eff}}$ at fixed $Q^2$ for the behavior of the virtual-photon proton scattering cross section, where $l$ is the coherence length of the photon fluctuations, it is seen that the…

High Energy Physics - Phenomenology · Physics 2016-08-03 Allen Caldwell

We construct a generalized linear sigma model as an effective field theory (EFT) to describe nearly conformal gauge theories at low energies. The work is motivated by recent lattice studies of gauge theories near the conformal window, which…

Our procedure to obtain best values for cosmological parameters from five recent multiparameter fits is as follows. We first study the values quoted for $r, \alpha_s, w+1 (w_0+1), w_1$ and $\Omega_k$, arriving at the conclusion that they do…

Astrophysics · Physics 2007-05-23 Matts Roos

Let $S_m f$ denote the $m$-th partial sum of the Walsh-Fourier series of $f \in L^1$. For an increasing sequence $a=(a(n))_{n \geq 1}$ of positive integers, consider the arithmetic means $$ \sigma_N f:=\frac{1}{N} \sum_{n=1}^N S_{a(n)} f .…

Classical Analysis and ODEs · Mathematics 2026-05-07 Ushangi Goginava

We generalize the sum rules for the nucleon electric plus magnetic polarizability $\Sigma=\alpha+\beta$ and for the nucleon spin-polarizability $\gamma$, to virtual photons with $Q^2>0$. The dominant low energy cross sections are…

Nuclear Theory · Physics 2009-10-31 J. Edelmann , N. Kaiser , G. Piller , W. Weise

A goodness-of-fit test for the fitting of a parametric model to data obtained from a detector with finite resolution and limited acceptance is proposed. The parameters of the model are found by minimization of a statistic that is used for…

Data Analysis, Statistics and Probability · Physics 2015-03-17 N. D. Gagunashvili

Modern spectral synthesis codes need the thermally averaged free-free Gaunt factor defined over a very wide range of parameter space in order to produce an accurate prediction for the spectrum emitted by an ionized plasma. Until now no set…

High Energy Astrophysical Phenomena · Physics 2014-08-19 P. A. M. van Hoof , R. J. R. Williams , K. Volk , M. Chatzikos , G. J. Ferland , M. Lykins , R. L. Porter , Y. Wang

Usual estimation methods for the parameters of extreme values distribution employ only a few values, wasting a lot of information. More precisely, in the case of the Gumbel distribution, only the block maxima values are used. In this work,…

Data Analysis, Statistics and Probability · Physics 2019-02-22 Rubén Gómez González , M. Isabel Parra , Francisco Javier Acero , Jacinto Martín

We present several new algorithms for computing factorization invariant values over affine semigroups. In particular, we give (i) the first known algorithm to compute the delta set of any affine semigroup, (ii) an improved method of…

Number Theory · Mathematics 2017-01-04 Pedro A. García-Sánchez , Christopher O'Neill , Gautam Webb

The Generalized Additive Model (GAM) is a powerful tool and has been well studied. This model class helps to identify additive regression structure. Via available test procedures one may identify the regression structure even sharper if…

Methodology · Statistics 2020-09-11 Rong Liu , Wolfgang Karl Härdle

New data on pion-photoproduction off the proton have been included in the partial wave analyses Bonn-Gatchina and SAID and in the dynamical coupled-channel approach J\"ulich-Bonn. All reproduce the recent new data well: the double…

I report on an updated combination of all currently available tree-level measurements of the CKM angle $\gamma$ from LHCb. This combination currently gives LHCb's most precise value of $\gamma = (73^{+9}_{-10})^\circ$ obtained from $B\to…

High Energy Physics - Experiment · Physics 2014-11-18 Till Moritz Karbach

We present general model-independent formulae for the branching ratios and the direct tagged CP asymmetries for the inclusive B -> Xd gamma and B -> Xs gamma modes. We also update the corresponding SM predictions.

High Energy Physics - Phenomenology · Physics 2011-09-13 T. Hurth , E. Lunghi , W. Porod

We update the constraints on the time variation of the fine structure constant $\alpha$ and the electron mass $m_e$, using the latest CMB data, including the 7-yr release of WMAP. We made statistical analyses of the variation of each one of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Susana. J. Landau , Claudia G. Scóccola