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Related papers: Renormalons and Higher-Twist Contributions to Stru…

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Using exact relations between velocity structure functions (Hill, Hill and Boratav, and Yakhot) and neglecting pressure contributions in a first approximation, we obtain a closed system and derive simple order-dependent rescaling…

Fluid Dynamics · Physics 2015-03-17 Rainer Grauer , Holger Homann , Jean-Francois Pinton

Spin-1 hadrons contain different aspects of spin physics from the ones of the spin-1/2 nucleon because of the existence of tensor-polarized structure functions. In the charged-lepton deep inelastic scattering from a spin-1 hadron or…

High Energy Physics - Phenomenology · Physics 2026-01-27 S. Kumano

The functional renormalisation group is applied to the effective action for scattering of two nonrelativistic fermions. The resulting physical effective action is shown to contain the correct threshold singularity. The corresponding "bare"…

Nuclear Theory · Physics 2008-11-26 Michael C. Birse

We explain spin structure for a spin-one hadron, in which there are new structure functions, in addition to the ones ($F_1$, $F_2$, $g_1$, $g_2$) which exist for the spin-1/2 nucleon, associated with its tensor structure. The new structure…

High Energy Physics - Phenomenology · Physics 2015-06-22 S. Kumano

We calculate the unpolarised deep inelastic structure function of a relativistic deuteron within a covariant framework. An exact treatment of nucleon off-shell effects is shown to give corrections to the widely-used convolution model, even…

Nuclear Theory · Physics 2008-11-26 W. Melnitchouk , A. W. Schreiber , A. W. Thomas

We investigate the power-suppressed corrections to structure functions in flavour singlet deep inelastic lepton scattering, to complement the previous results for the non-singlet contribution. Our method is a dispersive approach based on an…

High Energy Physics - Phenomenology · Physics 2009-10-31 Graham E. Smye

We show that, although the correlator of four stress-tensor multiplets in N=4 SYM is known to have radiative corrections, certain linear combinations of its components are protected from perturbative renormalisation and remain at their…

High Energy Physics - Theory · Physics 2009-10-31 Burkhard Eden , Anastasios Petkou , Christian Schubert , Emery Sokatchev

Explicit diagrammatic calculation of evolution equations for high-twist correlation functions is a challenge already at one-loop order in QCD coupling. The main complication being quite involved mixing pattern of the so-called…

High Energy Physics - Phenomenology · Physics 2015-06-23 Yao Ji , A. V. Belitsky

Parity violating electron-deuteron scattering can potentially provide a clean access to electroweak couplings that are sensitive to physics beyond the Standard Model. However hadronic effects can contaminate their extraction from…

High Energy Physics - Phenomenology · Physics 2015-03-19 A. V. Belitsky , A. N. Manashov , A. Schafer

We present a systematic study of twist-4 light-cone distribution amplitudes of the $K^*$ and $\phi$ meson in QCD. The structure of SU(3)-breaking corrections is studied in detail. Non-perturbative input parameters are estimated from QCD sum…

High Energy Physics - Phenomenology · Physics 2009-11-13 Patricia Ball , V. M. Braun , A. Lenz

I explicitly calculate the anomalous dimensions and splitting functions governing the Q^2 evolution of the parton densities and structure functions which result from the running coupling BFKL equation at LO, i.e. I perform a resummation in…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. S. Thorne

We construct a parametrization of deep-inelastic structure functions which retains information on experimental errors and correlations, and which does not introduce any theoretical bias while interpolating between existing data points. We…

High Energy Physics - Phenomenology · Physics 2011-04-12 Stefano Forte , Lluis Garrido , Jose I. Latorre , Andrea Piccione

The basis of renormalon calculus is briefly discussed. The method is applied to study QCD predictions for three sum rules of deep-inelastic scattering, namely for the Gross-Llewellyn Smith, Bjorken polarized and unpolarized sum rules. It is…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. L. Kataev

It is shown that the series of renormalon--type graphs, which consist in the chain of insertions to one soft(hard) gluon(photon) line is in fact ill defined. Each new type of insertions, which appears in the higher orders of perturbation…

High Energy Physics - Phenomenology · Physics 2008-02-03 S. V. Faleev , P. G. Silvestrov

The motivation and the challenge in applying the renormalization group for systems with several scaling regimes is briefly outlined. The four dimensional $\phi^4$ model serves as an example where a nontrivial low energy scaling regime is…

High Energy Physics - Theory · Physics 2016-08-25 Jean Alexandre , Vincenzo Branchina , Janos Polonyi

By using the most sensitive two-point correlation functions introduced to date, we reconstruct the microstructures of two-phase random media with heretofore unattained accuracy. Such media arise in a host of contexts, including porous and…

Materials Science · Physics 2015-06-03 Chase E. Zachary , Salvatore Torquato

We prove that regulating infrared divergencies generates power (~1/(Q^2)^k) corrections to the spin structure function g_1 at small x and large Q^2. At the same time it leads to the corrections ~(Q^2)^k at small Q^2. We present the explicit…

High Energy Physics - Phenomenology · Physics 2010-03-25 B. I. Ermolaev , M. Greco , S. I. Troyan

We present calculations of the structure functions F_2(x,Q^2) and F_L(x,Q^2), concentrating on small x. After discussing the standard expansion of the structure functions in powers of \alpha_s(Q^2) we consider a leading-order expansion in…

High Energy Physics - Phenomenology · Physics 2008-02-03 R. S. Thorne

We develop a general theoretical framework for the description of higher-twist baryon operators which makes maximal use of the conformal symmetry of the QCD Lagrangian. The conformal operator basis is constructed for all twists. The…

High Energy Physics - Phenomenology · Physics 2009-08-11 V. M. Braun , A. N. Manashov , J. Rohrwild

We present consistently ordered calculations of the structure functions F_2(x,Q^2) and F_L(x,Q^2), in different expansion schemes. After discussing the standard expansion in powers of alpha_s(Q^2) we consider a leading-order expansion in…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. S. Thorne