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We compute four-point correlation functions of scalar composite operators in the N=4 supercurrent multiplet at order g^4 using the N=1 superfield formalism. We confirm the interpretation of short-distance logarithmic behaviours in terms of…

高能物理 - 理论 · 物理学 2009-10-31 M. Bianchi , S. Kovacs , G. C. Rossi , Ya. S. Stanev

We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion…

高能物理 - 唯象学 · 物理学 2021-05-05 Qingjun Jin , Ke Ren , Gang Yang

We compute the two-loop renormalization functions, in the RI' scheme, of local bilinear quark operators $\bar{\psi}\Gamma\psi$, where $\Gamma$ corresponds to the Vector, Axial-Vector and Tensor Dirac operators, in the lattice formulation of…

高能物理 - 格点 · 物理学 2009-07-30 A. Skouroupathis , H. Panagopoulos

In this note we compute the non-planar one loop anomalous dimension of restricted Schur polynomials that belong to the sl(2) sector of N=4 super Yang-Mills theory and have a bare dimension of order N. Although the details are rather…

高能物理 - 理论 · 物理学 2012-10-11 Robert de Mello Koch , Pablo Diaz , Hesam Soltanpanahi

In a recent publication we have investigated the spectrum of anomalous dimensions for arbitrary composite operators in the critical N-vector model in 4-epsilon dimensions. We could establish properties like upper and lower bounds for the…

高能物理 - 理论 · 物理学 2009-10-28 Stefan K. Kehrein , Franz Wegner

The perturbative result for the quark-mass conversion factor between the $\overline{\mathrm{MS}}$ and regularization-independent symmetric-momentum subtraction scheme (RI/SMOM) away from the chiral limit, i.e. at non-zero quark masses…

高能物理 - 唯象学 · 物理学 2025-11-10 Long Chen , Marco Niggetiedt

Recently it was shown that the scaling dimension of the operator $\phi^n$ in $\lambda(\phi^*\phi)^2$ theory may be computed semi-classically at the Wilson-Fisher fixed point in $d=4-\epsilon$, for generic values of $\lambda n$ and this was…

高能物理 - 理论 · 物理学 2021-05-05 I. Jack , D. R. T Jones

The large N limit of the anomalous dimensions of operators in ${\cal N}=4$ super Yang-Mills theory described by restricted Schur polynomials, are studied. We focus on operators labeled by Young diagrams that have two columns (both long) so…

高能物理 - 理论 · 物理学 2011-02-16 Vincent De Comarmond , Robert de Mello Koch , Katherine Jefferies

A model of the passive vector field advected by the uncorrelated in time Gaussian velocity with power-like covariance is studied by means of the renormalization group and the operator product expansion. The structure functions of the…

混沌动力学 · 物理学 2009-11-11 S. V. Novikov

A closed formula is obtained for the infrared singularities of dimensionally regularized, massless gauge-theory scattering amplitudes with an arbitrary number of legs and loops. It follows from an all-order conjecture for the…

高能物理 - 唯象学 · 物理学 2013-10-23 Thomas Becher , Matthias Neubert

We investigate extended Wilson loop operators, in particular tetrahedron operator in (2 + 1)-dimensional Chern-Simons-Witten theory. This operator emerges naturally from the contribution terms in twoparticle scattering amplitude. We…

高能物理 - 理论 · 物理学 2009-01-06 Freddy P Zen , Jusak S Kosasih , Asep Y Wardaya , Triyanta

We study the collinear fragmentation of highly energetic jets defined with a small jet radius. In particular, we investigate how the corresponding fragmentation functions differ from their hadronic counterpart defined in the common…

In the asymptotic limit $Q^2 \gg m^2$, the non-power corrections to the heavy flavour Wilson coefficients in deep--inelastic scattering are given in terms of massless Wilson coeffcients and massive operator matrix elements. We start…

高能物理 - 唯象学 · 物理学 2008-12-19 I. Bierenbaum , J. Blümlein , S. Klein

We compute the O(1/Nf^2) corrections to the flavour non-singlet quark bilinear currents in QCD in arbitrary spacetime dimensions. Hence, the anomalous dimension of the QED current $\bar{\psi} \sigma^{\mu\nu} \psi$ is deduced at four loops…

高能物理 - 唯象学 · 物理学 2009-11-07 D. B. Ali , J. A. Gracey

Understanding the scale dependence of parton distribution functions is vital for precision physics at hadron colliders. The well-known DGLAP evolution equation relates this scale dependence to the QCD splitting functions, which can be…

高能物理 - 唯象学 · 物理学 2025-09-03 S. Van Thurenhout , G. Falcioni , F. Herzog , S. Moch

The velocity-dependent cusp anomalous dimension is by definition the ultraviolet (UV) anomalous dimension of a Wilson loop with a cusp. It appears in many physically interesting processes. In this talk we present recent progress in the…

高能物理 - 理论 · 物理学 2012-09-27 Johannes M. Henn

We study the self-energy of a gravitating point particle in AdS$_3$, and compare to operator dimensions in CFT$_2$. In particular, we compute the one and two loop diagram contributions to the expectation value of an open Wilson line in the…

高能物理 - 理论 · 物理学 2017-02-23 Mert Besken , Ashwin Hegde , Per Kraus

Deep inelastic scattering data on $F_2$ structure function from various fixed-target experiments were analyzed in a nonsinglet approximation in the MSbar and DIS scheme. The study of high statistics deep inelastic scattering data provided…

高能物理 - 唯象学 · 物理学 2022-04-27 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

Anomalous dimensions of twist-two operators govern the scale evolution of parton distribution functions. For off-shell external states, the physical twist-two operators mix with unknown gauge-variant operators under renormalization. In this…

高能物理 - 唯象学 · 物理学 2024-09-17 Thomas Gehrmann , Andreas von Manteuffel , Tong-Zhi Yang

We compute the spectrum of anomalous dimensions of non-derivative composite operators with an arbitrary number of fields $n$ in the $O(N)$ vector model with cubic anisotropy at the one-loop order in the $\epsilon$-expansion. The complete…

高能物理 - 理论 · 物理学 2019-09-19 Oleg Antipin , Jahmall Bersini