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The light-cone wave function of the nucleon is calculated in the limit N_c -> infinity in the quark-soliton model inspired by the theory of the instanton vacuum of QCD. The technique of the finite time evolution operator is used in order to…

High Energy Physics - Phenomenology · Physics 2016-09-06 V. Yu. Petrov , M. V. Polyakov

We compute the one-loop anomalous dimension for the light cone distribution function of a heavy quark and solve the corresponding evolution equation analytically. Some implications of the results for inclusive $B$ decays are discussed.

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Balzereit , W. Kilian , T. Mannel

The validity of using QCD perturbation theory to generate dynamically the parton distribution functions of hadrons, starting from a valencelike input at low $Q^2$, is discussed. In particular, we consider the prescription of Barone {\em et…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Forshaw

We study how the components of hadronic wave functions in light-cone quantization depend on the ultraviolet cut-off by relating them in a systematic way to the matrix elements of a class of quark-gluon operators between the QCD vacuum and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Matthias Burkardt , Xiangdong Ji , Feng Yuan

We study the QCD evolution for the twist-three quark-gluon correlation functions associated with the transverse momentum odd quark distributions. Different from that for the leading twist quark distributions, these evolution equations…

High Energy Physics - Phenomenology · Physics 2009-07-09 Jian Zhou , Feng Yuan , Zuo-Tang Liang

The conformal algebra provides powerful constraints, which guarantee that renormalized conformally covariant operators exist in the hypothetical conformal limit of the theory, where the $\beta$-function vanishes. Thus, in this limit also…

High Energy Physics - Phenomenology · Physics 2016-08-15 D. Müller

Using the framework of the non-local light-cone expansion a systematic study is performed for the structure of the twist-2 contributions to the virtual Compton amplitude in polarized deep-inelastic non-forward scattering for general nucleon…

High Energy Physics - Phenomenology · Physics 2009-11-07 Johannes Blümlein , Jörg Eilers , Bodo Geyer , Dieter Robaschik

The unitarity of the $S$-matrix requires that the absorptive part of the elastic scattering amplitude receives contributions from both the inelastic and the elastic channels. We explore this unitarity condition in order to describe, in a…

High Energy Physics - Phenomenology · Physics 2015-06-17 P. C. Beggio , E. G. S. Luna

The Compton amplitude is calculated in terms of expectation values of light-ray quark operators. As a technical tool we apply the nonlocal light-cone expansion. Thereby we express the expectation value of the vector light-ray operator with…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Blümlein , B. Gezer , D. Robaschik

We calculate light-cone distribution amplitudes for non-relativistic bound states, including radiative corrections from relativistic gluon exchange to first order in the strong coupling constant. We distinguish between bound states of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guido Bell , Thorsten Feldmann

We investigate the parton distribution functions (PDFs) of the pion and kaon from the eigenstates of a light-front effective Hamiltonian in the constituent quark-antiquark representation suitable for low-momentum scale applications. By…

High Energy Physics - Phenomenology · Physics 2020-09-07 Jiangshan Lan , Chandan Mondal , Shaoyang Jia , Xingbo Zhao , James P. Vary

We calculate the non-forward quark matrix elements for operators with two covariant derivatives in one-loop lattice perturbation theory using Wilson fermions. These matrix elements are needed in the renormalisation of the second moment of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , H. Perlt , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller

We use Lorentz invariance and the QCD equations of motion to study the evolution of functions that appear at leading (zeroth) order in a 1/Q expansion in azimuthal asymmetries. This includes the evolution equation of the Collins…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. J. Mulders , A. A. Henneman , D. Boer

We calculate quantum corrections to the symmetry generators for the transversity operators in quantum chromodynamics (QCD) in the two-loop approximation. Using this result, we obtain the evolution kernel for the corresponding operators at…

High Energy Physics - Theory · Physics 2024-09-24 A. N. Manashov , S. Moch , L. A. Shumilov

A wave function of the $N$-component KP Hierarchy with continuous flows determined by an invertible matrix $H$ is constructed from the choice of an $MN$-dimensional space of finitely-supported vector distributions. This wave function is…

Exactly Solvable and Integrable Systems · Physics 2015-11-03 Alex Kasman

The structure of the general solution of the inhomogeneous evolution equations allows the separation of a photon structure function into perturbative (``anomalous") and non-perturbative contributions. The former part is fully calculable,…

High Energy Physics - Phenomenology · Physics 2011-01-25 Gerhard A. Schuler , Torbjörn Sjöstrand

We recalculate the next-to-leading order Altarelli-Parisi kernel using a method which relates it to the splitting amplitudes describing the collinear factorization properties of scattering amplitudes. The method breaks up the calculation of…

High Energy Physics - Phenomenology · Physics 2014-11-17 David A. Kosower , Peter Uwer

We investigate the nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields. These include operators which are relevant to the calculation of moments of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Gockeler , R. Horsley , H. Oelrich , H. Perlt , D. Petters , P. E. L. Rakow , A. Schafer , G. Schierholz , A. Schiller

We study the three-quark light-cone amplitudes of the proton including quarks' transverse momenta. We classify these amplitudes using a newly-developed method in which light-cone wave functions are constructed from a class of light-cone…

High Energy Physics - Phenomenology · Physics 2009-11-07 Xiangdong Ji , Jian-Ping Ma , Feng Yuan

We compute a light front wave function for heavy vector mesons based on long distance matrix elements constrained by decay width analyses in the Non Relativistic QCD framework. Our approach provides a systematic expansion of the wave…

High Energy Physics - Phenomenology · Physics 2025-01-16 Tuomas Lappi , Heikki Mäntysaari , Jani Penttala
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