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We accomplish for the first time the next-to-leading-order QCD computations of the leading-twist contributions to the Dirac form factors of both the proton and the neutron by applying the hard-collinear factorization theorem rigorously. The…

High Energy Physics - Phenomenology · Physics 2024-07-29 Yong-Kang Huang , Bo-Xuan Shi , Yu-Ming Wang , Xue-Chen Zhao

We introduce the notion of $k$-regular factorizations for contractions into $k$ factors, generalizing the classical notion of regular factorization due to Sz.-Nagy and Foia\c{s}, and develop a systematic framework for their analysis. Using…

Operator Algebras · Mathematics 2026-05-28 Kalpesh J. Haria , Aashish Kumar Maurya

We present an analytical framework for the emergence of nonclassical radiation in strongly laser-driven quantum systems, with a focus on high-order harmonic generation (HHG). Starting from a Pauli-Fierz description, we employ a parametric…

Quantum Physics · Physics 2026-04-23 Ivan Gonoskov , Christian Hünecke , Stefanie Gräfe

We propose a QCD-based model for calculation of the non-perturbative corrections to the factorization approximation in the decays of heavy mesons. In the framework of the model, factorization in pseudoscalar transitions holds exactly at the…

High Energy Physics - Phenomenology · Physics 2009-10-30 John F. Donoghue , Alexey A. Petrov

I review several topics in electroproduction which test fundamental aspects of QCD. These include the role of final-state interactions in producing diffractive leptoproduction processes, the shadowing of nuclear structure functions, and…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky

Factor modeling is a powerful statistical technique that permits to capture the common dynamics in a large panel of data with a few latent variables, or factors, thus alleviating the curse of dimensionality. Despite its popularity and…

Econometrics · Economics 2021-03-03 Varlam Kutateladze

We investigate the heavy quark photoproduction based on the k_T factorization approach, focusing on the results from the saturation model. The deviations in the results using the unintegrated gluon distribution considering the saturation…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Brenner Mariotto , M. B. Gay Ducati , M. V. T. Machado

Recently, there have been several suggestions that weak Kerr nonlinearity can be used for generation of macroscopic superpositions and entanglement and for linear optics quantum computation. However, it is not immediately clear that this…

Quantum Physics · Physics 2009-11-11 Hyunseok Jeong

We calculate the CP-averaged branching ratios and CP-violating asymmetries for the two-body charmless hadronic decays $\Lambda_b \to p \pi, pK$ in the perturbative QCD (pQCD) approach to lowest order in $\alpha_s$. The baryon distribution…

High Energy Physics - Phenomenology · Physics 2009-11-20 Cai-Dian Lu , Yu-Ming Wang , Hao Zou , Ahmed Ali , Gustav Kramer

We consider electroweak radiative corrections to hard inclusive processes at the TeV scale, and we investigate how collinear logarithms factorize in a spontaneously broken gauge theory, similarly to the DGLAP analysis in QCD. Due to the…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Ciafaloni , P. Ciafaloni , D. Comelli

I show that factorization for hard processes in QCD is also valid when the detected particles are polarized, and that the proof of the theorem determines the operator form for the parton densities. Particular attention is given to the case…

High Energy Physics - Phenomenology · Physics 2009-10-22 John C. Collins

We predict that the effective nonlinear optical susceptibility can be tailored using the Purcell effect. While this is a general physical principle that applies to a wide variety of nonlinearities, we specifically investigate the Kerr…

Quantum Physics · Physics 2009-11-13 Peter Bermel , Alejandro Rodriguez , John D. Joannopoulos , Marin Soljacic

Unitarity cannot be perserved order by order in ordinary perturbation theory because the constraint $UU^\dagger=\1$ is nonlinear. However, the corresponding constraint for $K=\ln U$, being $K=-K^\dagger$, is linear so it can be maintained…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. S. Lam

We prove a factorization theorem for heavy-to-light form factors. Our result differs in several important ways from previous proposals. A proper separation of scales gives hard kernels that are free of endpoint singularities. A general…

High Energy Physics - Phenomenology · Physics 2009-11-07 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

We investigate the inclusive top quark pair production in proton-proton and proton-antiproton collisions at high energies in the framework of kt-factorization QCD approach. Our study is based on the off-shell partonic subprocesses g*g* ->…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. V. Lipatov , N. P. Zotov

This work focuses on applications of perturbative QCD (pQCD) and collinear factorization theorem to hard particle production in nuclear and hadronic collisions at the BNL-RHIC and CERN-LHC colliders. The emphasis is on nuclear parton…

High Energy Physics - Phenomenology · Physics 2014-08-29 Ilkka Helenius

The ultrahigh energy neutrino-nucleon cross sections are computed taking into account different phenomenological implementations of the non-linear QCD dynamic s. Based on the color dipole framework, the results for the saturation model…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. V. T. Machado

Perron-Frobenius theory developed for irreducible non-negative kernels deals with so-called $R$-positive recurrent kernels. If kernel $M$ is $R$-positive recurrent, then the main result determines the limit of the scaled kernel iterations…

Probability · Mathematics 2018-08-16 Serik Sagitov

We are going to review recent advances in the theory of exclusive nonleptonic B decays. The emphasis is going to be on the factorization hypothesis and the role of nonfactorizable contributions for nonleptonic B decays. In particular, we…

High Energy Physics - Phenomenology · Physics 2017-08-23 Blazenka Melic

We study the NP-hard graph problem Collapsed k-Core where, given an undirected graph G and integers b, x, and k, we are asked to remove b vertices such that the k-core of remaining graph, that is, the (uniquely determined) largest induced…

Discrete Mathematics · Computer Science 2018-06-01 Junjie Luo , Hendrik Molter , Ondrej Suchy
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