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We describe in detail the implementation of a systematic perturbative approach to observables in the QCD gradient-flow formalism. This includes a collection of all relevant Feynman rules of the five-dimensional field theory and the…

High Energy Physics - Lattice · Physics 2022-10-12 Johannes Artz , Robert V. Harlander , Fabian Lange , Tobias Neumann , Mario Prausa

We compute the three-loop QCD corrections to the massive quark-anti-quark-photon form factors $F_1$ and $F_2$ in the large-$N_c$ limit. The analytic results are expressed in terms of Goncharov polylogarithms. This allows for a…

High Energy Physics - Phenomenology · Physics 2017-03-08 Johannes Henn , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

It is known that the trace anomaly in the QCD energy-momentum tensor $T^{\mu \nu}$ can be attributed to the anomalies for each of the gauge-invariant quark part and gluon part of $T^{\mu \nu}$, and their explicit three-loop formulas have…

High Energy Physics - Phenomenology · Physics 2023-03-22 Kazuhiro Tanaka

We present novel lattice results for the form factors of the quenched three-gluon vertex of QCD, in two special kinematic configurations that depend on a single momentum scale. We consider three form factors, two associated with a classical…

High Energy Physics - Phenomenology · Physics 2021-05-12 A. C. Aguilar , F. De Soto , M. N. Ferreira , J. Papavassiliou , J. Rodríguez-Quintero

The quark parts of the gravitational form factors of hyperons are calculated by means of the light-cone QCD sum rule. In the calculations, the distribution amplitudes (DAs) of $\Sigma$, $\Xi$ and $\Lambda$ together with the general forms of…

High Energy Physics - Phenomenology · Physics 2020-07-01 U. Özdem , K. Azizi

We analyze the hard scattering amplitude of the gravitational form factors (GFFs) of hadrons at one-loop, in relation to their conformal field theory (CFT) description, within the framework of QCD factorization for hard exclusive processes…

High Energy Physics - Phenomenology · Physics 2025-03-18 Claudio Corianò , Stefano Lionetti , Dario Melle , Riccardo Tommasi

The hard-thermal-loop perturbation theory (HTLpt) framework is used to calculate the thermodynamic functions of a quark-gluon plasma to three-loop order. This is the highest order accessible by finite temperature perturbation theory applied…

High Energy Physics - Phenomenology · Physics 2015-03-19 Jens O. Andersen , Lars E. Leganger , Michael Strickland , Nan Su

The second and third factorial moments of the multiplicity distributions of gluon and quark jets are calculated up to the next-to-next-to-next-to leading order in perturbative QCD, using the equations for generating functions. The results…

High Energy Physics - Phenomenology · Physics 2011-07-19 I. M. Dremin , C. S. Lam , V. A. Nechitailo

We have computed the even-N moments N =< 20 of the gluon-gluon splitting function P_{gg} at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. Our results, derived analytically for a general…

High Energy Physics - Phenomenology · Physics 2024-10-11 G. Falcioni , F. Herzog , S. Moch , A. Pelloni , A. Vogt

We compute the gluonic contribution to the gravitational form factors of the proton using the improved holographic QCD model, in which the proton is described in terms of bulk Dirac fermions. Model parameters are constrained using lattice…

High Energy Physics - Theory · Physics 2026-02-26 Antti Hippeläinen , Niko Jokela , Matti Järvinen

We describe recent evaluations of three-loop vertex corrections which have been performed in the context of different physical applications: the massless quark and gluon form factor, the vector current matching coefficient between QCD and…

High Energy Physics - Phenomenology · Physics 2010-01-19 Matthias Steinhauser

In this contribution we provide further details to the recent calculation of QCD corrections to massive three-loop form factors presented in Ref. [1].

High Energy Physics - Phenomenology · Physics 2018-07-26 Roman N. Lee , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

The spin-independent and transversity generalised form factors (GFFs) of the $\phi$ meson are studied using lattice QCD calculations with light quark masses corresponding to a pion mass $m_\pi\sim450(5)$ MeV. One transversity and three…

High Energy Physics - Lattice · Physics 2019-01-17 W. Detmold , D. Pefkou , P. E. Shanahan

The electromagnetic and gravitational form factors of the nucleon determined by quark and gluon contributions are calculated using the momentum transfer dependence of generalized parton distributions with different forms of parton…

High Energy Physics - Phenomenology · Physics 2025-09-16 O. V. Selyugin , O. V. Teryaev

We obtain the two-loop QCD corrections to the Higgs plus three-parton amplitudes with dimension-seven operators in Higgs effective field theory. This provides the two-loop S-matrix elements for Higgs plus one-jet production at the LHC with…

High Energy Physics - Phenomenology · Physics 2020-03-18 Qingjun Jin , Gang Yang

By considering a one loop background field method for a nonperturbative one gluon exchange between quarks, leading electromagnetic form factors of pion couplings to constituent quarks are derived by means of from a large quark and gluon…

High Energy Physics - Phenomenology · Physics 2020-08-25 Fabio L. Braghin , Willian F. de Sousa

The form factors for the hadron matrix element of the QCD energy-momentum tensor not only describe the coupling of the hadron with a graviton as the ``gravitational form factors'', but also serve as unique quantities for describing the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Kazuhiro Tanaka

The High Density Effective Theory formalism is used to calculate the low energy properties of the phonons and gluons in the Larkin-Ovchinnikov-Fulde-Ferrell (LOFF) phase of two-flavor QCD. The effective phonon Lagrangian for the cubic…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Casalbuoni , E. Fabiano , R. Gatto , M. Mannarelli , G. Nardulli

The gravitational form factors (GFFs) of hadrons encode the matrix elements of the energy momentum tensor of QCD. These quantities describe how energy, spin, and various mechanical properties of hadrons are carried by their quark and gluon…

High Energy Physics - Lattice · Physics 2022-06-15 Dimitra A. Pefkou , Daniel C. Hackett , Phiala E. Shanahan

We compute the one-loop quark-photon vertex and the quark magnetic moment in three different models with an infrared-modified gluon propagator, namely: the massive (Curci-Ferrari-like) model, the Gribov-Zwanziger model, and the Refined…

High Energy Physics - Phenomenology · Physics 2023-11-27 C. Mena , L. F. Palhares