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The reductions of a square complex matrix A to its canonical forms under transformations of similarity, congruence, or *congruence are unstable operations: these canonical forms and reduction transformations depend discontinuously on the…

Rings and Algebras · Mathematics 2014-12-10 Lena Klimenko , Vladimir V. Sergeichuk

A systematic method is proposed for analyzing the renormalization scheme uncertainties in the next-next-to-leading order QCD predicitions, based on a condition which eliminates schemes that give rise to large cancellations in the expression…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

Perturbative approaches are methods to efficiently tackle many-body problems, offering both intuitive insights and analysis of correlation effects. However, their application to systems where light and matter are strongly coupled is…

Chemical Physics · Physics 2025-03-07 Yassir El Moutaoukal , Rosario R. Riso , Matteo Castagnola , Enrico Ronca , Henrik Koch

Statistical shape analysis is a powerful tool to assess organ morphologies and find shape changes associated to a particular disease. However, imbalance in confounding factors, such as demographics might invalidate the analysis if not taken…

Commensurate scale relations are perturbative QCD predictions which relate observable to observable at fixed relative scale, such as the "generalized Crewther relation", which connects the Bjorken and Gross-Llewellyn Smith deep inelastic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stanley J. Brodsky , Johan Rathsman

We consider linear programs involving uncertain parameters and propose a new tractable robust counterpart which contains and generalizes several other models including the existing Affinely Adjustable Robust Counterpart and the Fully…

Optimization and Control · Mathematics 2016-04-12 Walid Ben-Ameur , Adam Ouorou , Guanglei Wang , Mateusz Żotkiewicz

Using quantum electrodynamics as an example, a dependence of physical predictions of quantum field theory in a finite perturbation theory order on the choice of renormalization scheme is studied. It is shown that On-Mass-Shell…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Konychev

Future e+e- colliders give the promise of model-independent determinations of the couplings of the Higgs boson. In this paper, we present an improved formalism for extracting Higgs boson couplings from e+e- data, based on the Effective…

High Energy Physics - Phenomenology · Physics 2018-03-28 Tim Barklow , Keisuke Fujii , Sunghoon Jung , Robert Karl , Jenny List , Tomohisa Ogawa , Michael E. Peskin , Junping Tian

We study nonrenormalizable coupling terms in $Z_N$ orbifold models. Nontrivial selection rules of couplings are provided and cannot be understood in terms of a simple symmetry of effective field theories. We also discuss phenomenological…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Kobayashi

We introduce a generalization of the conventional renormalization schemes used in dimensional regularization, which illuminates the renormalization scheme and scale ambiguities of pQCD predictions, exposes the general pattern of…

High Energy Physics - Phenomenology · Physics 2013-06-20 Matin Mojaza , Stanley J. Brodsky , Xing-Gang Wu

Being the limits of copulas of componentwise maxima in independent random samples, extreme-value copulas can be considered to provide appropriate models for the dependence structure between rare events. Extreme-value copulas not only arise…

Statistics Theory · Mathematics 2009-12-07 Gordon Gudendorf , Johan Segers

The conventional approach to fixed-order perturbative QCD predictions is based on an arbitrary choice of the renormalization scale, together with an arbitrary range. This {\it ad hoc} assignment of the renormalization scale causes the…

High Energy Physics - Phenomenology · Physics 2019-12-19 Xing-Gang Wu , Jian-Ming Shen , Bo-Lun Du , Xu-Dong Huang , Sheng-Quan Wang , Stanley J. Brodsky

We discuss the issue of interplay between perturbative and non-perturbative phenomena for power corrections to e+e- event shapes.

High Energy Physics - Phenomenology · Physics 2009-10-31 G. P. Salam , G. Zanderighi

Motivated by recent preliminary results from the SLD Collaboration on the measurement of angle-dependent B-Bbar energy correlations in Z^0 -> b bbar events, we propose a class of observables that can be computed as a power expansion in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Brandenburg , P. Nason , C. Oleari

Event Extraction (EE), aiming to identify and classify event triggers and arguments from event mentions, has benefited from pre-trained language models (PLMs). However, existing PLM-based methods ignore the information of trigger/argument…

Computation and Language · Computer Science 2023-05-22 Xingyu Bai , Taiqiang Wu , Han Guo , Zhe Zhao , Xuefeng Yang , Jiayi Li , Weijie Liu , Qi Ju , Weigang Guo , Yujiu Yang

We consider cosmological models based on the scalar-torsion gravity implying non-minimal coupling between torsion and the scalar field with certain relations between model's parameters. Based on observational constraints on the values of…

General Relativity and Quantum Cosmology · Physics 2024-11-14 I. V. Fomin , S. V. Chervon , E. S. Dentsel

We investigate the origin of next-to-leading power corrections to the event shapes thrust and $c$-parameter, at next-to-leading order. For both event shapes we trace the origin of such terms in the exact calculation, and compare with a…

High Energy Physics - Phenomenology · Physics 2023-07-03 Neelima Agarwal , Melissa van Beekveld , Eric Laenen , Shubham Mishra , Ayan Mukhopadhyay , Anurag Tripathi

Identifying effects of actions (treatments) on outcome variables from observational data and causal assumptions is a fundamental problem in causal inference. This identification is made difficult by the presence of confounders which can be…

Methodology · Statistics 2012-03-19 Ilya Shpitser , Tyler VanderWeele , James M. Robins

The zero to four loop contribution to the cross section $R_{e^{+}e^{-}}$ for $e^{+}e^{-} \longrightarrow$ hadrons, when combined with the renormalization group equation, allows for summation of all leading-log ($LL$), next-to-leading-log…

High Energy Physics - Phenomenology · Physics 2016-09-28 Farrukh Chishtie , D. G. C. McKeon , T. N. Sherry

We present an investigation of the theoretical uncertainties in parton distribution functions (PDFs) due to missing higher-order corrections in the perturbative predictions used in the fit, and their relationship to the uncertainties in…

High Energy Physics - Phenomenology · Physics 2019-05-02 L. A. Harland-Lang , R. S. Thorne
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