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Related papers: Low $x$ physics and Structure Functions

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We summarize the studies and discussions of the Structure Function subgroup of the QCD working group of the Snowmass 1996 Workshop: New Directions for High Energy Physics.

Quark-hadron duality is studied in a systematic way for polarized and unpolarized structure functions, by taking into account all the available data in the resonance region. In both cases, a precise perturbative QCD based analysis of the…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Fantoni , N. Bianchi , S. Liuti

A systematic study is performed of the impact of the various resummed small-$x$ contributions to the anomalous dimensions and coefficient functions on the evolution of unpolarized structure functions in deep-inelastic scattering. The proton…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Blümlein , A. Vogt

In physics, there is a scalar function called the action which behaves like a cost function. When minimized, it yields the "path of least action" which represents the path a physical system will take through space and time. This function is…

Machine Learning · Computer Science 2023-03-06 Tim Strang , Isabella Caruso , Sam Greydanus

Inclusive and diffractive structure functions for electron-proton scattering are calculated in a semiclassical approach at large momentum transfer $Q^2$ and small values of the scaling variable $x$. The basic process is the production of a…

High Energy Physics - Phenomenology · Physics 2009-02-20 W. Buchmuller , A. Hebecker

Third-order results for the structure functions of charged-current deep-inelastic scattering are discussed. New results for 11'th Mellin moment for F_2,L^(nu P - nubar P) structure functions and 12'th moment for F_3^(nu P - nubar P) are…

High Energy Physics - Phenomenology · Physics 2009-11-13 M. Rogal

We review the main aspects of the fragmentation of bottom quarks in top quark decay. The NLO b-quark energy spectrum presents large mass logarithms ln(m_t^2/m_b^2), which can be resummed by the use of the approach of perturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gennaro Corcella

Conventional studies of biomolecular behaviors rely largely on the construction of kinetic schemes. Since the selection of these networks is not unique, a concern is raised whether and under which conditions hierarchical schemes can reveal…

Molecular Networks · Quantitative Biology 2015-07-07 De-Ming Deng , Cheng-Hung Chang

Structure functions are a measure of the partonic structure of hadrons, which is important for any process which involves colliding hadrons. They are a key ingredient for deriving partons distributions in nucleons. In recent years dramatic…

High Energy Physics - Phenomenology · Physics 2015-05-27 A. De Roeck , R. S. Thorne

The common view that structure functions measured in deep inelastic lepton scattering are determined by the probability of finding quarks and gluons in the target is not correct in gauge theory. We show that gluon exchange between the fast,…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Paul Hoyer , Nils Marchal , Stephane Peigne , Francesco Sannino

Measurements of the proton and deuteron $F_2$ structure functions are presented. The data, taken at Jefferson Lab Hall C, span the four-momentum transfer range $0.06 < Q^2 < 2.8$ GeV$^2$, and Bjorken $x$ values from 0.009 to 0.45, thus…

We show that certain free energy functionals that are not convex with respect to the usual convex structure on their domain of definition, are strictly convex in the sense of displacement convexity under a natural change of variables. We…

Functional Analysis · Mathematics 2009-11-13 Eric A. Carlen , Maria C. Carvalho , Raffaele Esposito , Joel L. Lebowitz , Rossana Marra

The experimental status of the spin-dependent structure functions as obtained from the deep inelastic scattering experiments at CERN, SLAC, and DESY is reviewed. All data show a violation of the Ellis-Jaffe sum rule. The Bjorken sum rule is…

High Energy Physics - Experiment · Physics 2007-05-23 Gerhard K. Mallot

Our current understanding of the structure of nuclei with up to A=8, including energy spectra, electromagnetic form factors, and weak transitions, is reviewed within the context of a realistic approach to nuclear dynamics based on two- and…

Nuclear Theory · Physics 2017-08-23 R. Schiavilla

Motivated by the fact that transfer functions do not contain structural information about networks, dynamical structure functions were introduced to capture causal relationships between measured nodes in networks. From the dynamical…

Systems and Control · Computer Science 2014-12-09 Ye Yuan , Keith Glover , Jorge Goncalvees

The basic concepts relevant for the theoretical description of deep inelastic scattering within the QCD improved parton model are introduced. Recent developments in low $x$ DIS and in deep inelastic diffraction are briefly summarised. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Kwiecinski

We review the present status of our research and understanding regarding the dynamics and the statistical properties of earthquakes, mainly from a statistical physical viewpoint. Emphasis is put both on the physics of friction and fracture,…

Statistical Mechanics · Physics 2012-05-22 Hikaru Kawamura , Takahiro Hatano , Naoyuki Kato , Soumyajyoti Biswas , Bikas K. Chakrabarti

The structure function of the nucleus in the cumulative region $x>1$ is studied in terms of nucleon degrees of freedom. At high $Q^2$ the resulting expressions are presented as a sum of contributions from few-nucleon correlations.…

Nuclear Theory · Physics 2009-11-07 M. A. Braun , V. M. Suslov , B. Vlahovic

The available data on $F_L$ suggest the existence of unexpected large higher twist contributions. We use the $1/N_f$ expansion to analyze the renormalon contribution to the coefficient function of the longitudinal structure function…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Stein , M. Meyer-Hermann , L. Mankiewicz , A. Schäfer

The phenomenon of shadowing of nuclear structure functions at small values of Bjorken-$x$ is analyzed. First, multiple scattering is discussed as the underlying physical mechanism. In this context three different but related approaches are…

High Energy Physics - Phenomenology · Physics 2014-11-18 N. Armesto