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We extend our previous study of the SU(3) gauge theory with N_f=2 flavors of fermions in the sextet representation of color. Our tool is the Schroedinger functional method. By changing the lattice action, we push the bulk transition of the…

High Energy Physics - Lattice · Physics 2013-05-01 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We develop an algebraic approach to the analytic bootstrap in CFTs. By acting with the Casimir operator on the crossing equation we map the problem of doing large spin sums to any desired order to the problem of solving a set of recursion…

High Energy Physics - Theory · Physics 2015-11-18 Luis F. Alday , Alexander Zhiboedov

We use recently calculated next-to-next-to-leading (NNLO) anomalous dimension coefficients for the n=1,3,5,...,13 moments of the xF3 structure function in nuN scattering, together with the corresponding three-loop Wilson coefficients, to…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. J. Maxwell , A. Mirjalili

Understanding the link between correlation functions (CFs) of local operators and measurable collider correlators has emerged as a new opportunity in the study of gauge theory dynamics at colliders. While in Conformal Field Theories (CFTs)…

High Energy Physics - Theory · Physics 2026-03-25 Hao Chen , Pier Francesco Monni , Zhaoyan Pang , Gherardo Vita , Hua Xing Zhu

We present progress in the QCD analysis of the Bjorken sum rule at low momentum transfers. We study asymptotic structure of the perturbative QCD expansion at low $Q^2$ scales based on analysis of recent accurate data on the Bjorken sum rule…

High Energy Physics - Phenomenology · Physics 2013-02-19 V. L. Khandramai , O. P. Solovtsova , O. V. Teryaev

We present results for the thrust distribution in the electron positron annihilation to the three jet process at NNLO in the perturbative conformal window of QCD, as a function of the number of flavors $N_f$. Given the existence of an…

High Energy Physics - Phenomenology · Physics 2023-10-13 Leonardo Di Giustino , Stanley J. Brodsky , Philip G. Ratcliffe , Xing-Gang Wu , Sheng-Quan Wang

We re-examine the estimates of the higher twist contributions to the integral of $g_1$, the polarised structure function of the nucleon, based on QCD sum rules. By including corrections both to the perturbative contribution and to the low…

High Energy Physics - Phenomenology · Physics 2009-10-22 Graham G. Ross , R. G. Roberts

We reconsider our former determination of the chiral quark condensate $\langle \bar q q \rangle$ from the related QCD spectral density of the Euclidean Dirac operator, using our Renormalization Group Optimized Perturbation (RGOPT) approach.…

High Energy Physics - Phenomenology · Physics 2020-04-15 Jean-Loic Kneur , André Neveu

When conformal field theories (CFTs) are perturbed by marginally relevant deformations, renormalization group (RG) flows ensue that can be studied with perturbative methods, at least as long as they remain close to the original CFT. In this…

High Energy Physics - Theory · Physics 2016-08-16 Andreas Stergiou , David Stone , Lorenzo G. Vitale

Using conformal field theory (CFT) arguments we derive an infinite number of constraints on the large spin expansion of the anomalous dimensions and structure constants of higher spin operators. These arguments rely only on analiticity,…

High Energy Physics - Theory · Physics 2016-01-27 Luis F. Alday , Agnese Bissi , Tomasz Lukowski

Nonperturbative lattice field theory simulations provide a systematic framework to investigate properties of conformal systems at strong couplings. These simulations can be performed using different lattice discretizations. Here we present…

High Energy Physics - Lattice · Physics 2019-09-13 A. Hasenfratz , C. Rebbi , O. Witzel

SU(3) gauge theory with dynamical overlap fermions in the 2-index symmetric (sextet) representation is considered. This model may be a viable model of the electroweak symmetry breaking sector along the lines of the walking technicolor…

High Energy Physics - Lattice · Physics 2010-01-21 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

Fractional analytic QCD is constructed beyond leading order using the standard inverse logarithmic expansion. It is shown that, contrary to the usual QCD coupling constant, for which this expansion can be used only for large values of its…

High Energy Physics - Phenomenology · Physics 2023-05-30 A. V. Kotikov , I. A. Zemlyakov

We compute the fermionic contributions to the cusp anomalous dimension in QCD at four loops as an expansion for small cusp angle. As a byproduct we also obtain the respective terms of the four-loop HQET wave function anomalous dimension.…

High Energy Physics - Phenomenology · Physics 2019-06-26 Robin Brüser , Andrey Grozin , Johannes M. Henn , Maximilian Stahlhofen

We demonstrate how one can construct renormalizable perturbative expansion in formally nonrenormalizable higher dimensional field theories. It is based on $1/N_f$-expansion and results in a logarithmically divergent perturbation theory in…

High Energy Physics - Theory · Physics 2009-11-18 D. I. Kazakov , G. S. Vartanov

In two dimensional conformal field theories the limit of large central charge plays the role of a semi-classical limit. Certain universal observables, such as conformal blocks involving the exchange of the identity operator, can be expanded…

High Energy Physics - Theory · Physics 2023-06-07 Nathan Benjamin , Scott Collier , Alexander Maloney , Viraj Meruliya

Based on the nonrelativistic QCD factorization theorem, we resum QCD corrections to the inclusive decay rate of $\eta_c$ and $\eta_b$ in the large-$n_f$ limit using bubble chain resummation. By employing dimensional regularization, we show…

High Energy Physics - Phenomenology · Physics 2018-12-24 Nora Brambilla , Hee Sok Chung , Javad Komijani

We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling $\alpha_s$ for the non-singlet contributions to Adler $D$-function and Bjorken polarized sum rule calculated previously in the $\MSbar$-scheme…

High Energy Physics - Phenomenology · Physics 2022-05-25 I. O. Goriachuk , A. L. Kataev , V. S. Molokoedov

We investigate the chiral phase transition at finite temperature (T) in colour SU(3) Quantum Chromodynamics (QCD) with six species of fermions (Nf = 6) in the fundamental representation. The simulations have been performed by using lattice…

High Energy Physics - Lattice · Physics 2011-11-07 Kohtaroh Miura , Maria Paola Lombardo , Elisabetta Pallante

Infrared safe differential cross sections, such as event shape distributions, can be measured over wide kinematic ranges, from regions where fixed order calculations are adequate to regions where nonperturbative dynamics dominate. Such…

High Energy Physics - Phenomenology · Physics 2014-11-17 George Sterman
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