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We show how to correctly treat threshold singularities in fixed-order perturbative calculations of the electron anomalous magnetic moment and hadronic pair production processes such as top pair production. With respect to the former, we…

High Energy Physics - Phenomenology · Physics 2016-09-21 Martin Beneke , Pedro Ruiz-Femenia

We analyze the density of roots of random polynomials where each complex coefficient is constructed of a random modulus and a fixed, deterministic phase. The density of roots is shown to possess a singular component only in the case for…

chao-dyn · Physics 2016-08-31 D. Braun , M. Kus , K. Zyczkowski

We give an outline of a formalism for the solution of the evolution equations for off-forward parton distributions in leading and next-to-leading orders based on partial conformal wave expansion and orthogonal polynomials reconstruction.

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Muller

QCD calculations for collider physics make use of perturbative solutions of renormalisation group equations (RGEs). Ambiguities related to these solutions can contribute significantly to systematic uncertainties of theoretical predictions…

High Energy Physics - Phenomenology · Physics 2025-05-30 Valerio Bertone , Giuseppe Bozzi , Francesco Hautmann

Based on parametric reasoning, we provide a simple dynamical picture of how a perturbative parton cascade, in interaction with a QCD medium, fills phase space as a function of time.

High Energy Physics - Phenomenology · Physics 2015-06-22 Aleksi Kurkela , Urs Achim Wiedemann

Combining dispersion and operator product expansion techniques, we derive the conformal partial wave decomposition of the virtual Compton scattering amplitude in terms of complex conformal spin to twist-two accuracy. The perturbation theory…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Kumericki , D. Müller , K. Passek-Kumericki

We demonstrate a factorization formula for semi-inclusive deep-inelastic scattering with hadrons in the current fragmentation region detected at low transverse momentum. To facilitate the factorization, we introduce the transverse-momentum…

High Energy Physics - Phenomenology · Physics 2011-08-01 Xiangdong Ji , Jian-ping Ma , Feng Yuan

I review lattice-QCD calculations of the electromagnetic and generalized form factors (GFFs), which determine the transverse structure of the nucleon, and briefly comment on recent calculations related to transverse-momentum dependent…

High Energy Physics - Lattice · Physics 2010-11-19 Harvey B. Meyer

We propose a model for the QCD running coupling constant based on the Analytical Inverse QCD Coupling Constant concept with an additional regularization in the low momentum region. Analyticity in the $q^2$-complex plane, where $q$ is the…

High Energy Physics - Phenomenology · Physics 2025-11-11 Malaspina R. , Pierini L. , Shekhovtsova O. , Pacetti S

The operator definition of generalised transverse-momentum-dependent (GTMD) distributions is exploited to compute for the first time the full set of one-loop corrections to the off-forward matching functions. These functions allow one to…

High Energy Physics - Phenomenology · Physics 2022-11-09 Valerio Bertone

This thesis is devoted to the study of some aspects of perturbative QCD, and in particular to the development of high-precision techniques for the extraction of physical parameters such as structure functions, parton distributions, and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrea Piccione

We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we directly implement a bi-local quark-quark…

High Energy Physics - Lattice · Physics 2012-07-17 Bernhard U. Musch , Philipp Hägler , John W. Negele , Andreas Schäfer

Shaped laser pulses are a powerful tool to induce population transfer between electronic molecular states, and time-dependent perturbation theory is suitable for a description of such a transfer in weak external fields. The application of…

Mathematical Physics · Physics 2012-05-24 Klaus Renziehausen

We discuss possibilities of measurement of deeply virtual Compton scattering amplitudes via different asymmetries in order to access the underlying skewed parton distributions. Perturbative one-loop coefficient functions and two-loop…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Müller , L. Niedermeier , A. Schäfer

We obtain the leading-twist valence quark transverse-momentum-dependent parton distribution functions (TMD PDFs) for the proton within the basis light-front quantization (BLFQ) framework. Our results are consistent with lattice QCD…

High Energy Physics - Phenomenology · Physics 2022-08-22 Zhi Hu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

The transverse-momentum-dependent distributions (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a…

High Energy Physics - Phenomenology · Physics 2024-12-04 Yong Zhao

In the framework of collinear QCD factorization, the leading twist scattering amplitudes for deeply virtual Compton scattering (DVCS) and timelike Compton scattering (TCS) are intimately related thanks to analytic properties of leading and…

High Energy Physics - Phenomenology · Physics 2020-03-18 O. Grocholski , H. Moutarde , B. Pire , P. Sznajder , J. Wagner

We review applicability of QCD factorization theorem to multiple scattering in deeply inelastic lepton-nucleus scattering. We show why A^{1/3}-type nuclear enhancement can be calculated consistently in perturbative QCD. We derive the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiaofeng Guo , Jianwei Qiu

We consider the transverse-momentum (qT) distribution of a diphoton pair produced in hadron collisions. At small values of qT , we resum the logarithmically-enhanced perturbative QCD contributions up to next-to-next-to-leading logarithmic…

High Energy Physics - Phenomenology · Physics 2015-05-14 Leandro Cieri , Francesco Coradeschi , Daniel de Florian

We investigate the twist-$3$ transverse-momentum-dependent parton distribution functions (TMDs) of the pion with basis light-front quantization. The twist-3 TMDs are not independent and can be decomposed into twist-$2$ and genuine twist-$3$…

High Energy Physics - Phenomenology · Physics 2023-04-12 Zhimin Zhu , Zhi Hu , Jiangshan Lan , Chandan Mondal , Xingbo Zhao , James P. Vary , BLFQ Collaboration