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Recent approaches to large language model (LLM) alignment typically require millions of human annotations or rely on external aligned models for synthetic data generation. This paper introduces ALMA: Alignment with Minimal Annotation,…

Computation and Language · Computer Science 2024-12-06 Michihiro Yasunaga , Leonid Shamis , Chunting Zhou , Andrew Cohen , Jason Weston , Luke Zettlemoyer , Marjan Ghazvininejad

Using a variational approach, two new series representations for the incomplete Gamma function are derived: the first is an asymptotic series, which contains and improves over the standard asymptotic expansion; the second is a uniformly…

Mathematical Physics · Physics 2009-11-11 Paolo Amore

Chebychev approximations are given for the Gamma and the Polygamma functions in only one contiguous intervall [1..inf] with a definable maximal relative error. The approximations need about three coefficients per decimal until a checked…

Classical Analysis and ODEs · Mathematics 2016-05-11 Karl Dieter Reinartz

We study the $P\to\gamma\,\gamma^*$ ($P=\pi^0,\eta,\eta'$) transition form factors by means of the local-duality (LD) version of QCD sum rules. For the case of $\eta$ and $\eta'$, the conventional LD model provides a good description of the…

High Energy Physics - Phenomenology · Physics 2012-02-23 Wolfgang Lucha , Dmitri Melikhov

A new graph-based order parameter is introduced for the characterization of atomistic structures. The order parameter is universal to any material/chemical system, and is transferable to all structural geometries. Three sets of data are…

Materials Science · Physics 2022-03-22 James Chapman , Nir Goldman , Brandon Wood

The lightest QCD resonance, the sigma, has been recently fixed in the pi-pi scattering amplitude. The nature of this state remains nowadays one of the most intriguing and difficult issues in particle physics. Its coupling to photons is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jose Bernabeu , Joaquim Prades

We briefly summarize current experimental and theoretical results on the $\pi^0$ Dalitz decay, including the new value for the ratio $R={\Gamma(\pi^0\to e^+e^-\gamma(\gamma))}/{\Gamma(\pi^0\to\gamma\gamma)}=11.978(6)\times10^{-3}$, which is…

High Energy Physics - Phenomenology · Physics 2019-11-19 Tomáš Husek

The standard determination of the QED coupling on the Z pole is performed using the latest available data for R. The direct application of analytic continuation techniques is found not to improve the accuracy of the value of \alpha(M_Z^2).…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. D. Martin , J. Outhwaite , M. G. Ryskin

In this presentation Gfitter results from the global Standard Model (SM) fit to electroweak precision data are discussed. We have used the latest measurements of m_top and M_W and the most recent results for direct Higgs searches at LEP and…

High Energy Physics - Phenomenology · Physics 2019-08-14 Martin Goebel

Straightforward methods for adapting the familiar chi^2 statistic to histograms of discrete events and other Poisson distributed data generally yield biased estimates of the parameters of a model. The bias can be important even when the…

Data Analysis, Statistics and Probability · Physics 2014-03-12 Joseph W. Fowler

A new version of the so-called optimized perturbation (OPT), implementing consistently renormalization group properties, is used to calculate the nonperturbative ratio $F_\pi/\overline\Lambda$ of the pion decay constant and the basic QCD…

High Energy Physics - Phenomenology · Physics 2013-10-25 J-L. Kneur , A. Neveu

We present new constraints on possible features in the primordial inflationary density perturbations power spectrum in light of the recent Cosmic Microwave Background Anisotropies measurements from the Planck satellite. We found that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Micol Benetti

We commence the evaluation of the one- and two-loop binding corrections to the $g factor for an electron in a hydrogenlike system of order alpha^2 (Z alpha)^5 and consider diagrams with closed fermion loops. The one-loop vacuum-polarization…

High Energy Physics - Phenomenology · Physics 2009-09-26 U. D. Jentschura

A dispersion integral is derived that connects data on $\eta\to \pi^+\pi^-\gamma$ to the $\eta\to \gamma\gamma^*$ transition form factor. A detailed analysis of the uncertainties is provided. We find for the slope of the $\eta$ transition…

High Energy Physics - Phenomenology · Physics 2014-08-19 C. Hanhart , A. Kupsc , U. -G. Meißner , F. Stollenwerk , A. Wirzba

We present results for the corrections of order alpha^2 (Z alpha)^5 to the Lamb shift. We compute all the contributing Feynman diagrams in dimensional regularization and a general covariant gauge using a mixture of analytical and numerical…

High Energy Physics - Phenomenology · Physics 2014-11-20 Matthew Dowling , Jorge Mondejar , Jan H. Piclum , Andrzej Czarnecki

The novel measurements of the $\gamma^\ast N \to \Delta(1232)$ Coulomb quadrupole form factor in the range $Q^2=0.04$--0.13 GeV$^2$ changed the trend of the previous data. With the new data the electric and Coulomb form factors are both in…

High Energy Physics - Phenomenology · Physics 2018-05-21 G. Ramalho

The Sigma beam asymmetry for positive pion photoproduction on the proton has been measured over an angular range of 40-170 deg at photon energies from 0.8 to 1.5 GeV. The resulting data set includes 237 accurate points, 136 of these…

The analysis of Fermi Large Area Telescope (LAT) gamma-ray data in a given Region Of Interest (RoI) usually consists of performing a binned log-likelihood fit in order to determine the sky model that, after convolution with the instrument…

High Energy Astrophysical Phenomena · Physics 2021-12-08 P. Bruel

We present version 8 of the CHIANTI database. This version includes a large amount of new data and ions, which represent a significant improvement in the soft X-ray, EUV and UV spectral regions, which several space missions currently cover.…

Solar and Stellar Astrophysics · Physics 2015-10-14 G. Del Zanna , K. P. Dere , P. R. Young , E. Landi , H. E. Mason

This paper presents results from partial-wave analyses of the photoproduction reactions $\gamma p \rightarrow \eta p$ and $\gamma n \rightarrow \eta n$. World data for the observables \DSG, $\Sigma$, $T$, $P$, $F$, and $E$ were analyzed as…

Nuclear Experiment · Physics 2019-05-29 B. C. Hunt , D. M. Manley