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In the hybrid kT-factorization formula, one initial-state parton momentum is space-like and carries non-vanishing transverse components, while the other is on-shell. We promote this factorization formula to next-to-leading order. Studying…

High Energy Physics - Phenomenology · Physics 2022-11-30 Andreas van Hameren , Leszek Motyka , Grzegorz Ziarko

A difference equation based method of determining two factors of a composite is presented. The feasibility of P-complexity is shown. Presentation of material is non-theoretical; intended to be accessible to a broader audience of non…

Discrete Mathematics · Computer Science 2016-02-23 Charles Sauerbier

The cross section for polarized and unpolarized electron-proton scattering is calculated taking into account radiative corrections in leading and next-to leading logarithmic approximation. The expression of the cross section is formally…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yu. M. Bystritskiy , E. A. Kuraev , E. Tomasi-Gustafsson

We compare the fractions of the hard and geometric cross sections as a function of impact parameter. For a given definition of central collisions, we calculate the corresponding impact parameter and the fraction of the hard cross section…

Nuclear Theory · Physics 2007-05-23 R. Vogt

We first revisit impact-parameter dependent collisions of ultra-relativistic particles in quantum field theory. Two conditions sufficient for defining an impact-parameter dependent cross section are given, which could be violated in…

High Energy Physics - Phenomenology · Physics 2023-07-28 Bin Wu

To study scattering amplitudes at high-energy, the T-product of two currents can be expanded in terms of coefficient functions (impact factors) and matrix elements of ``composite color dipoles'' made of Wilson line operators with rapidity…

High Energy Physics - Phenomenology · Physics 2010-11-19 Giovanni Antonio Chirilli

In nature, one observes that a K-theory of an object is defined in two steps. First a "structured" category is associated to the object. Second, a K-theory machine is applied to the latter category to produce an infinite loop space. We…

K-Theory and Homology · Mathematics 2013-04-03 Nicolas Michel

The nucleon strange vector and isoscalar electromagnetic form factors are studied using a spectral decomposition. The K\bar{K} contribution to the electric and magnetic radii as well as the magnetic moment is evaluated to all orders in the…

High Energy Physics - Phenomenology · Physics 2014-11-17 H. -W. Hammer , M. J. Ramsey-Musolf

The nonleptonic heavy meson decays $B\to D^{(*)}\pi(\rho), J/\psi K^{(*)}$ and $D\to K^{(*)}\pi$ are studied based on the three-scale perturbative QCD factorization theorem developed recently. In this formalism the Bauer-Stech-Wirbel…

High Energy Physics - Phenomenology · Physics 2009-10-30 Tsung-Wen Yeh , Hsiang-nan Li

The conventional NLO parton model is enough for the description of total cross sections and one-particle distributions. In the case of two-particle correlations, the collinear approximation has failed, and it is necessary to account for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. M. Shabelski

We study the Drell-Yan cross section differential with respect to the transverse momentum of the produced lepton pair. We consider data with moderate invariant mass Q of the lepton pair, between 4.5 GeV and 13.5 GeV, and similar (although…

High Energy Physics - Phenomenology · Physics 2019-07-31 Alessandro Bacchetta , Giuseppe Bozzi , Martin Lambertsen , Fulvio Piacenza , Julius Steiglechner , Werner Vogelsang

Factorization, in the sense defined for inclusive hard scattering, is discussed for diffractive hard scattering. A factorization theorem similar to its inclusive counterpart is presented for diffractive DIS. For hadron-hadron diffractive…

High Energy Physics - Phenomenology · Physics 2009-10-30 Arjun Berera

The differences are discussed between various next-to-leading order prescriptions for the QCD evolution of parton densities and structure functions. Their quantitative impact is understood to an accuracy of 0.02\%. The uncertainties due to…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Blümlein , S. Riemersma , W. L. van Neerven , A. Vogt

The vector form factor f_+(t) of the semileptonic decay D -> K l nu, measured recently with a high accuracy, can be used to determine the strong coupling constant g_{D_s^* D K}. The latter is related to the normalised coupling \hat{g}…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sébastien Descotes-Genon , Alain Le Yaouanc

A higher order difference equation may be generally defined in an arbitrary nonempty set S as: \[ f_{n}(x_{n},x_{n-1},...,x_{n-k})=g_{n}(x_{n},x_{n-1},...,x_{n-k}) \] where $f_{n},g_{n} :S^{k+1}\rightarrow S$ are given functions for…

Exactly Solvable and Integrable Systems · Physics 2010-12-27 Hassan Sedaghat

The build-factor is a magnitude which allows to correct the photon exponential attenuation model to obtain the real value of a certain dosimetric magnitude, like air exposure. Its main weaknesses are the dependences on the response function…

Applied Physics · Physics 2019-06-26 Guillermo Hernández , Álvaro Canas-Junquera , Francisco Fernández

The electromagnetic form factor for the $K^0$ is calculated in a covariant formulation of the Salpeter equation for $q\bar q$ - bound states, which has been presented recently for the mass spectrum, decay properties and form factors of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. I. Giersche , C. R. Munz

By reanalysing transverse momentum dependence in the perturbative calculation of pion form factor an improved expression of pion form factor which takes into account the transverse momentum dependenc in hard scattering amplitude and…

High Energy Physics - Phenomenology · Physics 2009-10-30 Fu-Guang Cao , Tao Huang

A better understanding of transverse momentum (k_T-) dependent quark distributions in a hadron is needed to interpret several experimentally observed large angular asymmetries and to clarify the fundamental role of gauge links in…

High Energy Physics - Lattice · Physics 2010-01-15 Ph. Hägler , B. U. Musch , J. W. Negele , A. Schäfer

We clarify the meaning of spatial densities of hadrons. A physical density is given by the expectation value of a local operator for a physical state, and depends on both internal structure and the hadron's wave packet. In some particular…

High Energy Physics - Phenomenology · Physics 2023-07-26 Adam Freese , Gerald A. Miller