English
Related papers

Related papers: The Three-Loop Splitting Functions in QCD

200 papers

Polarized semi-inclusive deep-inelastic scattering (SIDIS) is a key process in the quest for a resolution of the proton spin puzzle. We present the complete results for the polarized SIDIS process at next-to-next-to-leading order (NNLO) in…

High Energy Physics - Phenomenology · Physics 2025-11-03 Saurav Goyal , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , Narayan Rana , V. Ravindran

Using non-relativistic effective theories, new next-to-next-to-leading order (NNLO) QCD corrections to the total $t\bar t$ production cross section at the Linear Collider have been calculated recently. In this article the NNLO calculations…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. H. Hoang , M. Beneke , K. Melnikov , T. Nagano , A. Ota , A. A. Penin , A. A. Pivovarov , A. Signer , V. A. Smirnov , Y. Sumino , T. Teubner , O. Yakovlev , A. Yelkhovsky

We report a complete computation of next-to-next-to-leading order (NNLO) helicity and transversity Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) splitting functions, in both space-like and time-like kinematics. These results are…

High Energy Physics - Phenomenology · Physics 2026-03-31 Yu Jiao Zhu

Semi-Inclusive Deep Inelastic Scattering (SIDIS) is a key tool for exploring the three-dimensional structure of the nucleon through Transverse Momentum Dependent parton distributions and fragmentation functions. While leading-power…

High Energy Physics - Phenomenology · Physics 2026-01-28 Ian Balitsky , Alexei Prokudin

The two-loop ultrasoft contributions to the next-to-leading logarithmic (NLL) running of the QCD potentials at order v^2 are determined. The results represent an important step towards the next-to-next-to-leading logarithmic (NNLL)…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andre H. Hoang , Maximilian Stahlhofen

We review the nucleon's twist-3 polarized structure functions from the viewpoint of gauge invariant, nonlocal light-cone operators in QCD. We discuss a systematic treatment of the polarized structure functions and the corresponding parton…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jiro Kodaira , Kazuhiro Tanaka

We study the QCD corrections at next-to-next-to-leading order (NNLO) to the cross section for the hadronic pair-production of top quarks. We present new results in the high-energy limit using the well-known framework of k_t-factorization.…

High Energy Physics - Phenomenology · Physics 2015-06-04 S. Moch , P. Uwer , A. Vogt

We present the calculations of the complete next-to-leading order (NLO) QCD corrections (including supersymmetric QCD) to the inclusive total cross sections of the associated production processes $pp\to A^0Z^0+X$ in the Minimal…

High Energy Physics - Phenomenology · Physics 2009-11-11 Qiang Li , Chong Sheng Li , Jian Jun Liu , Li Gang Jin , C. -P. Yuan

We present the complete set of leading-color two-loop contributions required to obtain next-to-next-to-leading-order (NNLO) QCD corrections to three-jet production at hadron colliders. We obtain analytic expressions for a generating set of…

High Energy Physics - Phenomenology · Physics 2024-01-11 S. Abreu , F. Febres Cordero , H. Ita , B. Page , V. Sotnikov

We present the third-order contributions to the quark-gluon and gluon-quark timelike splitting functions for the evolution of fragmentation functions in perturbative QCD. These quantities have been derived by studying physical evolution…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. A. Almasy , A. Vogt , S. Moch

Within NRQCD factorization framework, in this work we compute, at the lowest order in velocity expansion, the next-to-leading-order (NLO) perturbative corrections to the short-distance coefficients associated with heavy quark fragmentation…

High Energy Physics - Phenomenology · Physics 2021-07-28 Feng Feng , Yu Jia , Wen-Long Sang

We compute next-to-leading order (NLO) perturbative QCD corrections to the correlators of interpolating pentaquark currents. We employ modular techniques in configuration space which saves us from the onus of having to do loop calculations.…

High Energy Physics - Phenomenology · Physics 2012-08-28 S. Groote , J. G. Körner , A. A. Pivovarov

I compute the contributions of the one-loop single-real-emission amplitudes, $gg\to H g$, $qg\to H q$, etc., to inclusive Higgs boson production through next-to-next-to-next-to-leading order (N^3LO) in the strong coupling $\alpha_s$. The…

High Energy Physics - Phenomenology · Physics 2014-04-23 William B. Kilgore

We report on the perturbative study, at next-to-leading order (NLO), of correlation functions at finite temperature of two chromoelectric fields connected by an adjoint Wilson line in Euclidean space. We find a source of asymmetry in two of…

High Energy Physics - Phenomenology · Physics 2025-10-06 Panayiotis Panayiotou

We report on the three-loop unpolarized and polarized massive operator matrix elements, with single- and two-mass corrections, and the associated deep-inelastic massive Wilson coefficients in the region $Q^2 \gg m_Q^2$, the calculation of…

High Energy Physics - Phenomenology · Physics 2026-02-12 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider , K. Schönwald

In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal…

High Energy Physics - Phenomenology · Physics 2024-08-07 Xin Guan , Franz Herzog , Yao Ma , Bernhard Mistlberger , Adi Suresh

In this paper we present a next-to-next-to-leading order (NNLO) QCD calculation of the processes $pp\rightarrow l^+l^-\gamma$ and $pp\rightarrow \nu\bar\nu\gamma$ that we have implemented in MCFM. Our calculation includes QCD corrections at…

High Energy Physics - Phenomenology · Physics 2018-01-17 John M. Campbell , Tobias Neumann , Ciaran Williams

We investigate the next-to-leading logarithmic (NLL) order contributions of the quantum chromodynamics (QCD) for exclusive processes evaluated by Monte Carlo methods. Ambiguities of the Monte Carlo calculation based on the…

High Energy Physics - Phenomenology · Physics 2011-12-06 Hidekazu Tanaka

We present a fully-exclusive next-to-next-to-leading order (NNLO) QCD calculation for vector boson production in hadron-hadron collisions. The calculation is implemented in a parton level Monte Carlo program, which includes the gamma-Z…

High Energy Physics - Phenomenology · Physics 2010-01-25 Giancarlo Ferrera

The scale evolution of parton distributions is determined by universal splitting functions. As a milestone towards the computation of these functions to four-loop order in QCD, we compute all contributions to the pure-singlet quark-quark…

High Energy Physics - Phenomenology · Physics 2024-12-02 Thomas Gehrmann , Andreas von Manteuffel , Vasily Sotnikov , Tong-Zhi Yang