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The QCD structure of the electroweak bosons is reviewed and the lepton structure function is defined and calculated. The leading order splitting functions of electron into quarks are extracted, showing an important contribution from…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wojciech Slominski , Jerzy Szwed

A simple method to compute QED bound state properties is presented, in which binding energy effects are treated non-perturbatively. It is shown that to take the effects of all ladder Coulomb photon exchanges into account, one can simply…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Pestieau , C. Smith

We review the status of the practical operator product expansion (OPE), when applied to two-point correlators of QCD currents which interpolate to mesonic resonances, in view of the violations of local quark-hadron duality. Covered topics…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Hofmann

A generalization of the operator product expansion for Euclidean correlators of gauge invariant QCD currents is presented. Each contribution to the modified expansion, which is based on a delocalized multipole expansion of a perturbatively…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

A Poincare-invariant description of mesonic baryon resonance decays is presented following the point form of relativistic quantum mechanics. In this contribution we focus on pionic decay modes. It is found that the theoretical results in…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Melde , L. Canton , W. Plessas , R. F. Wagenbrunn

We analyze charmonium and bottomonium production at fixed target experiments. We find that inclusion of color octet production channels removes large discrepancies between experiment and the predictions of the color singlet model for the…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Beneke , I. Z. Rothstein

The conventional color-singlet model was challenged by the recent data on quarkonium production. Discrepancies in production rates were observed at the Tevatron, at LEP, and in fixed-target experiments. The newly advocated color-octet…

High Energy Physics - Phenomenology · Physics 2009-09-01 Kingman Cheung , Wai-Yee Keung , Tzu Chiang Yuan

The construction of positronium decay amplitudes is handled through the use of dispersion relations. In this way, emphasis is put on basic QED principles: gauge invariance and soft-photon limits (analyticity). A firm grounding is given to…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Pestieau , C. Smith , S. Trine

In the Standard Model (SM) we calculate the decay rate of the neutron radiative beta decay to order "O(\alpha^2/\pi^2 ~ 10^{-5})", where "\alpha$"is the fine--structure constant, and radiative corrections to order "O(\alpha/\pi ~ 10^{-3})".…

High Energy Physics - Phenomenology · Physics 2017-07-04 A. N. Ivanov , R. Höllwieser , N. I. Troitskaya , M. Wellenzohn , Ya. A. Berdnikov

This article presents a full operator analytical method for studying the quadratic nonlinear interactions in quantum optomechanics. The method is based on the application of higher-order operators, using a six-dimensional basis of second…

Quantum Physics · Physics 2018-11-13 Sina Khorasani

We consider the decay of a heavy flavour into an inclusive hadronic state X of invariant mass m_X small with respect to its energy E_X, m_X << E_X. The electron spectrum and the hadronic mass distribution in semileptonic b -> u decays, or…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ugo Aglietti , Giulia Ricciardi

The truncated Floquet-Bloch transform can be used to characterise the spectral properties of finite periodic and aperiodic large systems of resonators. This paper aims to provide for the first time the mathematical foundations of this…

Mathematical Physics · Physics 2024-10-24 Habib Ammari , Silvio Barandun , Alexander Uhlmann

Hadronic annihilation rate of $1^{+-}$ heavy quarkonium is given to next-to-leading order in $\alpha_s$ and leading order in $v^2$ using a recently developed factorization formalism which is based on NRQCD. The result includes both the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Han-Wen Huang , Kuang-Ta Chao

We present a calculation of next-to-leading-order (NLO) QCD corrections to total hadronic production cross sections and to light-hadron-decay rates of heavy quarkonium states. Both colour-singlet and colour-octet contributions are included.…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Petrelli , M. Cacciari , M. Greco , F. Maltoni , M. L. Mangano

We calculate the photon-energy spectrum of the inclusive radiative decay $B\to X_s\gamma$, induced by the electromagnetic dipole operator $O_7$, to next-to-next-to-next-to-leading order and consider the complete corrections for light…

High Energy Physics - Phenomenology · Physics 2026-04-30 Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser

We discuss the current use of the operator product expansion in QCD calculations. Treating the OPE as an expansion in inverse powers of an energy-squared variable (with possible exponential terms added), approximating the vacuum expectation…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jan Fischer , Ivo Vrkoc

Particle production from an expanding classical color electromagnetic field is extensively studied, motivated by the early stage dynamics of ultra-relativistic heavy ion collisions. We develop a formalism at one-loop order to compute the…

Nuclear Theory · Physics 2017-08-03 Hidetoshi Taya

We calculate the contribution from nonlocal vacuum condensates of quark fields to the hadronic part of the photon structure function $F_2(x)$ in the operator product expansion approach to QCD. The result is a smooth function of $x$ and its…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. P. Bakulev , S. V. Mikhailov

We consider a Hilbert space that is a product of a finite number of Hilbert spaces and operators that are represented by "componental operators" acting on the Hilbert spaces that form the product space. We attribute operatorial properties…

Functional Analysis · Mathematics 2021-11-30 Andrzej Cegielski , Yair Censor

We study the radiative leptonic $B_c\to \gamma\ell\bar\nu$ decays in the nonrelativistic QCD effective field theory, and consider a fast-moving photon. As a result the interactions with the heavy quarks can be integrated out, and thus we…

High Energy Physics - Phenomenology · Physics 2015-10-14 Wei Wang , Rui-Lin Zhu