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We compute the leading non-analytic contributions of the form m_q Log(m_q) to matrix elements of twist-2 operators in the nucleon and pion using effective field theory. Previously omitted one-loop contributions that are related to…

Nuclear Theory · Physics 2014-11-18 Daniel Arndt , Martin J. Savage

We investigate the renormalization of the twist-3 operators which are relevant for the spin-dependent structure function $g_{2}(x, Q^{2})$. We derive the anomalous dimension for the non-singlet part by calculating the off-shell Green's…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiro Kodaira , Yoshiaki Yasui , Kazuhiro Tanaka , Tsuneo Uematsu

We use QCD sum rules to compute matrix elements of the Delta B=2 operators appearing in the heavy-quark expansion of the width difference of the B_s mass eigenstates. Our analysis includes the leading-order operators Q and Q_S, as well as…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Mannel , B. D. Pecjak , A. A. Pivovarov

We present the two-mass QCD contributions to the pure singlet operator matrix element at three loop order in x-space. These terms are relevant for calculating the structure function $F_2(x,Q^2)$ at $O(\alpha_s^3)$ as well as for the…

High Energy Physics - Phenomenology · Physics 2018-02-01 J. Ablinger , J. Blümlein , A. De Freitas , C. Schneider , K. Schönwald

Twisted mass lattice QCD (tmQCD), generalised to four Wilson quark flavours, can be used for the computation of some weak matrix elements related to $\Delta I=1/2$ transitions. Besides eliminating unphysical zero modes, tmQCD may alleviate…

High Energy Physics - Lattice · Physics 2008-11-26 C. Pena , S. Sint , A. Vladikas

We use the transfer matrix formalism to derive non-perturbative sum rules in Wilson's lattice QCD with N_f flavours of quarks. The discretization errors on these identities are treated in detail. As an application, it is shown how the sum…

High Energy Physics - Lattice · Physics 2008-11-26 Harvey B. Meyer

New QCD sum rules for the nucleon axial-vector current coupling constants are derived. One set is derived from a generalized correlator of spin-1/2 interpolating fields, and the other with a mixed correlator of spin-1/2 and spin-3/2 fields.…

Nuclear Theory · Physics 2007-05-23 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

If connecting properties of a multiquark hadron with those exhibited by its constituents, QCD sum rules inferred along the routes of traditional wisdom necessarily involve contributions not related at all to and thus not presenting…

High Energy Physics - Phenomenology · Physics 2022-06-16 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

Two new QCD sum rules for nucleon tensor charge are derived from a mixed correlator of spin-1/2 and spin-3/2 nucleon interpolating fields. These sum rules are analyzed along with a sum rule obtained from the usual correlator of a general…

High Energy Physics - Phenomenology · Physics 2009-10-30 Xuemin Jin , Jian Tang

We discuss the QCD effects of the higher-twist operators in the nucleon spin-dependent structure functions measured by the polarized deep inelastic leptoproduction. We particularly study the renormalization of the twist-3 and twist-4…

High Energy Physics - Phenomenology · Physics 2016-09-01 Tsuneo Uematsu

We clarify conflicting results in the literature on coefficient functions in front of higher twist operators contributing to the parton sum rules for deep inelastic scattering from polarized targets. The necessary corrections do not affect…

High Energy Physics - Phenomenology · Physics 2009-10-22 I. I. Balitsky , V. M. Braun , A. V. Kolesnichenko

We use the QCD sum rule approach to calculate the splitting between vector and pseudoscalar mesons containing one light and one heavy quark, and the kinetic energy of the heavy quark. Our result for the splitting induced by the…

High Energy Physics - Phenomenology · Physics 2011-01-25 P. Ball , V. M. Braun

We derive new QCD sum rules for the axial coupling constants by considering two-point correlation functions of the axial-vector currents in a one nucleon state. The QCD sum rules tell us that the axial coupling constants are expressed by…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Nishikawa , S. Saito , Y. Kondo

The decomposition of nonlocal operators (and of their matrix elements) into an (infinite) series w.r.t. geometric twist is used to introduce (new) parton distributions, generalized parton distributions and hadron wave functions of definite…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bodo Geyer , Markus Lazar , Dieter Robaschik

We compute in the instanton vacuum the nucleon matrix elements of the twist-4 QCD operators describing power corrections to the second moments of the unpolarized structure functions, F_L and F_2. Our approach takes into account the leading…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Dressler , M. Maul , C. Weiss

The large N_f self-consistency programme is reviewed. As an application the QCD beta-function is computed at O(1/N_f) and the anomalous dimensions of polarized twist-2 singlet operators are determined at the same order.

High Energy Physics - Phenomenology · Physics 2015-06-25 J. A. Gracey

We describe how to disentangle the singly- and doubly-unresolved (soft and/or collinear) limits of tree-level QCD squared matrix elements. Using the factorization formulae presented in this paper, we outline a viable general subtraction…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gábor Somogyi , Zoltán Trócsányi , Vittorio Del Duca

Splitting functions govern the scale evolution of parton distribution functions. Through a Mellin transformation, they are related to anomalous dimensions of twist-two operators in the operator product expansion. We study off-shell operator…

High Energy Physics - Phenomenology · Physics 2022-07-22 Thomas Gehrmann , Andreas von Manteuffel , Tong-Zhi Yang

The QCD sum rules for spin-dependent nucleon-nucleon interactions are formulated and their physical implications are studied. The basic object of the study is the correlation function of the nucleon interpolating field, where the matrix…

Nuclear Theory · Physics 2009-10-31 Y. Kondo , O. Morimatsu

In this thesis, we have investigated the higher twist structure functions in the recently developed method based on light-front Hamiltonian QCD. Because of various special properties of light-front QCD, this is a more intuitive approach…

High Energy Physics - Phenomenology · Physics 2007-05-23 Asmita Mukherjee