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Related papers: Evolution Kernels for Light-Ray Operators: Twist 2…

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A systematic derivation is presented of the twist-2 anomalous dimensions of the general quark and gluon light-ray operators in the generalized Bjorken region in leading order both for unpolarized and polarized scattering. Various…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Blümlein , B. Geyer , D. Robaschik

We develop a framework for the reconstruction of the non-forward kernels which govern the evolution of twist-two distribution amplitudes and off-forward parton distributions beyond leading order. It is based on the knowledge of the special…

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

We introduce and study a new family of tensor tomography problems. At rank 2 it corresponds to linearization of travel time of elastic waves, measured for all polarizations. We provide a kernel characterization for ranks up to 2. The…

Functional Analysis · Mathematics 2025-09-03 Joonas Ilmavirta , Antti Kykkänen , Teemu Saksala

Power corrections for virtual Compton scattering at leading twist are etermined at operator level. From the complete off-cone representation of the twist-2 Compton operator integral representations for the trace, antisymmetric and symmetric…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Geyer , D. Robaschik

By considering semi-inclusive deep-inelastic scattering and the (complementary) $q_T$-spectrum for Drell-Yan lepton pair production we derive the QCD evolution for all the leading-twist transverse momentum dependent distribution and…

High Energy Physics - Phenomenology · Physics 2014-07-10 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

Polarized inclusive deep-inelastic scattering is formulated in the light cone expansion. The QCD evolution of the leading twist distribution functions is derived. It is shown that the twist--2 contribution to the structure functions…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Blümlein , D. Robaschik

We calculate the leptonic ${\cal O}(\alpha^2 L)$ corrections for unpolarized deeply inelastic ep scattering using mixed variables.

High Energy Physics - Phenomenology · Physics 2009-11-07 Johannes Blümlein , Hiroyuki Kawamura

We present the method, based on the use of the broken conformal Ward identities, for the calculation of the anomalous dimensions of conformal operators beyond the leading order of perturbation theory. By means of this technique we find the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Belitsky , D. Mueller

QCD in non-integer d=4-2 epsilon space-time dimensions possesses a nontrivial critical point and enjoys exact scale and conformal invariance. This symmetry imposes nontrivial restrictions on the form of the renormalization group equations…

High Energy Physics - Phenomenology · Physics 2015-06-19 V. M. Braun , A. N. Manashov

The logarithmic contributions to the massive twist-2 operator matrix elements for deep-inelastic scattering are calculated to $O(\alpha_s^3)$for general values of the Mellin variable $N$.

High Energy Physics - Phenomenology · Physics 2010-11-19 I. Bierenbaum , J. Blümlein , S. Klein

We present a calculation of the two-loop evolution kernels of the twist-two transversally polarized quark and linearly polarized gluon skewed parton distributions in the minimal subtraction scheme and discuss a solution of the evolution…

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

We summarize a recent calculation of the evolution kernels of the two-particle B-meson distribution amplitudes $\phi_+$ and $\phi_-$ taking into account three-particle contributions. In addition to a few phenomenological comments, we give…

High Energy Physics - Phenomenology · Physics 2009-04-30 S. Descotes-Genon , N. Offen

We discuss the relations between the twist 2 and twist 3 contributions to polarized deep-inelastic scattering structure functions both for neutral and charged current interactions which are predicted by the operator product expansion in…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , N. Kochelev

The twist--2 contributions to the polarized structure functions in deep inelastic lepton--hadron scattering are calculated including the exchange of weak bosons and using both the operator product expansion and the covariant parton model. A…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , N. Kochelev

The twist 2 and twist 3 contributions of the polarized deep-inelastic structure functions are calculated both for neutral and charged current interactions using the operator product expansion in lowest order in QCD. The relations between…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Blümlein , N. Kochelev

The leptonic QED radiative corrections are calculated in the next-to-leading log approximation ${\cal O}[\alpha^2 \ln(Q^2/m_e^2)]$ for unpolarized deeply inelastic $ep$--scattering in the case of mixed variables. The corrections are…

High Energy Physics - Phenomenology · Physics 2010-04-05 J. Blümlein , H. Kawamura

Critical exponents are computed for a variety of twist-2 composite operators, which occur in polarized and unpolarized deep inelastic scattering, at leading order in the 1/N_f expansion. The resulting d-dimensional expressions, which depend…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. Gracey

The quantum field theoretic treatment of inclusive deep--inelastic diffractive scattering given in a previous paper \cite{BGR2006} is discussed in detail using an equivalent formulation with the aim to derive a representation suitable for…

High Energy Physics - Phenomenology · Physics 2009-07-22 J. Blümlein , D. Robaschik , B. Geyer

We analyse the recent precision measurements of the lepton-hadron deep inelastic scattering at CERN and SLAC to extract model independent constraints among the nucleon matrix elements of the twist-4 operators. We also study a…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. Choi , T. Hatsuda , Y. Koike , Su H. Lee

We study the distribution kernel of a Toeplitz operator associated with a classical pseudodifferential operator on a compact, embeddable, strictly pseudoconvex CR manifold. The main result consists of a formula for the values at the…

Complex Variables · Mathematics 2025-12-23 Chin-Yu Hsiao , Ood Shabtai