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How large can anomalous dimensions be in conformal field theories? What can we do to attain larger values? One attempt to obtain large anomalous dimensions efficiently is to use the Pauli exclusion principle. Certain operators constructed…

高能物理 - 理论 · 物理学 2020-04-22 Yu Nakayama

We compute analytically the matter-dependent contributions to the quartic Casimir term of the four-loop light-like cusp anomalous dimension in QCD, with $n_f$ fermion and $n_s$ scalar flavours. The result is extracted from the double pole…

高能物理 - 唯象学 · 物理学 2019-06-24 Johannes M. Henn , Tiziano Peraro , Maximilian Stahlhofen , Pascal Wasser

We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills model. These results are obtained by extracting the most complicated contributions from the three loop…

高能物理 - 理论 · 物理学 2016-09-06 A. V. Kotikov , L. N. Lipatov , A. I. Onishchenko , V. N. Velizhanin

An implicit four dimensional regularization is applied to calculate the axial-vector-vector anomalous amplitude. The present technique always complies with results of Dimensional Regularization and can be easily applied to processes…

高能物理 - 唯象学 · 物理学 2007-05-23 O. A. Battistel , G. Dallabona , M. C. Nemes , B. Hiller

We critically reconsider the argument based on 't Hooft anomaly matching that aims at proving chiral symmetry breaking in confining four-dimensional QCD-like theories with $N_c>2$ colors and $N_f$ flavors. The main line of reasoning relies…

高能物理 - 理论 · 物理学 2025-01-03 Luca Ciambriello , Roberto Contino , Andrea Luzio , Marcello Romano , Ling-Xiao Xu

We discuss properties of the $\epsilon$-expansion in $d=4-\epsilon$ dimensions. Using Lagrange inversion we write down an exact expression for the value of the Wilson-Fisher fixed point coupling order by order in $\epsilon$ in terms of the…

高能物理 - 理论 · 物理学 2020-04-21 Thomas A. Ryttov

Anomalous superconformal Ward identities and commutator algebra in N = 1 super-Yang-Mills theory give rise to constraints between the QCD special conformal anomalies of conformal composite operators. We evaluate the superconformal anomalies…

高能物理 - 唯象学 · 物理学 2009-10-31 A. V. Belitsky , D. Müller

We use the recently developed CFT techniques of Rychkov and Tan to compute anomalous dimensions in the $O(N)$ Gross-Neveu model in $d=2+\epsilon$ dimensions. To do this, we extend the "cowpie contraction" algorithm of arXiv:1506.06616 to…

高能物理 - 理论 · 物理学 2016-11-23 Avinash Raju

The rapidity anomalous dimension controls the scaling of transverse momentum dependent observables in the Sudakov region. In a conformal theory it is equivalent to the soft anomalous dimension, but in QCD this relation is broken by…

高能物理 - 唯象学 · 物理学 2022-09-14 Ian Moult , Hua Xing Zhu , Yu Jiao Zhu

Theories with large mass anomalous dimensions ($\gamma_m$) have been extensively studied because of their deep consequences for models where the scalar bosons are composite. Large $\gamma_m$ values may appear when a non-Abelian gauge theory…

高能物理 - 唯象学 · 物理学 2017-06-28 A. Doff , A. A. Natale

We construct a wave-functional whose argument couples to boundary fermion currents in the AdS/CFT correspondence. Using this we calculate the contributions from bulk fermions to the chiral anomaly that give the subleading order term in the…

高能物理 - 理论 · 物理学 2009-11-10 David Nolland

We consider the jet cross sections for gluons coupling to quarks with an anomalous chromomagnetic moment. We then apply this to the deviation and bounds from QCD found in the CDF and D0 Fermilab data, respectively, to find a range of…

高能物理 - 唯象学 · 物理学 2011-01-25 Dennis Silverman

We compute three-loop corrections to the singlet form factors for massive quarks using a semi-analytic method which provides precise results over the whole kinematic range. Particular emphasis is put on the anomaly contribution originating…

高能物理 - 唯象学 · 物理学 2023-05-24 Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser

We compute the four-loop $n_f$ contribution proportional to the quartic Casimir of the QCD cusp anomalous dimension as an expansion for small cusp angle $\phi$. This piece is gauge invariant, violates Casimir scaling, and first appears at…

高能物理 - 唯象学 · 物理学 2017-10-17 Andrey Grozin , Johannes Henn , Maximilian Stahlhofen

We calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions $P_{\rm NS}^+, P_{\rm NS}^-$ and $P_{\rm NS}^{\rm s}$ in QCD in the $\overline{\sf MS}$ scheme by using the traditional method of…

高能物理 - 唯象学 · 物理学 2021-09-15 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

We compute, to the first non-trivial order in the $\epsilon$-expansion of a perturbed scalar field theory, the anomalous dimensions of an infinite class of primary operators with arbitrary spin $\ell=0,1,..$, including as a particular case…

高能物理 - 理论 · 物理学 2018-03-14 Ferdinando Gliozzi

We calculate the second-order QCD corrections to the forward-backward asymmetry in $e^+e^-$ annihilation. Using the quark axis definition, we do not agree with either existing calculation, but the difference relative to one of them is small…

高能物理 - 唯象学 · 物理学 2010-02-03 Stefano Catani , Michael H. Seymour

We compute anomalous dimensions of quartic operators which are singlets under the $\mathrm{U}(N_f)$ global symmetry in Yang-Mills theories with Chern-Simons level $k$ in three dimensions coupled to $N_f$ Dirac fermions. In order to have…

高能物理 - 理论 · 物理学 2022-12-09 Guillermo Arias-Tamargo , Sergio Benvenuti , Diego Rodriguez-Gomez

We present the first calculations of next-to-next-to-next-to-next-to-leading order (N^4LO) contributions to anomalous dimensions of spin-N twist-2 operators in perturbative QCD. Specifically, we have obtained the respective non-singlet…

高能物理 - 唯象学 · 物理学 2019-02-06 F. Herzog , S. Moch , B. Ruijl , T. Ueda , J. A. M. Vermaseren , A. Vogt

Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals, and apply it to the calculation of the…

高能物理 - 理论 · 物理学 2015-06-15 Johannes M. Henn , Tobias Huber