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We present the next-to-next-to-next-to-leading order (N^3LO) contributions to the non-singlet splitting functions for both parton distribution and fragmentation functions in perturbative QCD. The exact expressions are derived for the terms…

高能物理 - 唯象学 · 物理学 2017-10-25 S. Moch , B. Ruijl , T. Ueda , J. A. M. Vermaseren , A. Vogt

The world-line representation of quantum field theory is a powerful framework for the computation of perturbative multi-leg Feynman amplitudes. In particular, in gauge theories, it provides an efficient way, via point particle Grassmann…

高能物理 - 唯象学 · 物理学 2019-09-18 Andrey Tarasov , Raju Venugopalan

Singular factors originating from the QCD factorisation of scattering amplitudes in soft and collinear limits play a prominent role in both organising and computing high-order perturbative contributions to hard-scattering cross sections. In…

高能物理 - 唯象学 · 物理学 2022-08-16 Prasanna K. Dhani

Recently methods have been developed to extend the resummation of large-x double logarithms in inclusive deep-inelastic scattering (DIS) to terms not addressed by the soft-gluon exponentiation. Here we briefly outline our approach based on…

高能物理 - 唯象学 · 物理学 2012-02-24 N. A. Lo Presti , A. Vogt , A. A. Almasy

The scale evolution of parton distributions is governed by splitting functions. We compute the four-loop splitting functions in perturbative QCD that control the evolution of quark non-singlet distributions. We confirm previous partial…

高能物理 - 唯象学 · 物理学 2026-04-27 Thomas Gehrmann , Andreas von Manteuffel , Vasily Sotnikov , Tong-Zhi Yang

We revisit the description of pion production in proton-proton collisions in the light of the very precise data taken at the Large Hadron Collider (LHC) over the past decade. First attempts to include LHC results in next-to-leading order…

高能物理 - 唯象学 · 物理学 2022-02-23 Ignacio Borsa , Daniel de Florian , Rodolfo Sassot , Marco Stratmann

A generalization of the leading-order DGLAP evolution at small x is performed for the non-singlet structure function by resumming the leading-order DGLAP anomalous dimension to all orders in the QCD coupling. Explicit expressions are…

高能物理 - 唯象学 · 物理学 2010-03-25 B. I. Ermolaev , M. Greco , S. I. Troyan

As a first step towards the complete calculation of deep-inelastic scattering at third order of massless perturbative QCD, we have computed the fermionic (nf) contributions to the flavour non-singlet structure functions in unpolarized…

高能物理 - 唯象学 · 物理学 2009-11-07 J. A. M. Vermaseren , S. Moch , A. Vogt

Splitting functions are universal functions describing the collinear dynamics of gauge theories, and as such are crucial ingredients for a wide variety of calculations in perturbative QCD. We present analytic results for the triple…

高能物理 - 唯象学 · 物理学 2023-11-29 Evan Craft , Mark Gonzalez , Kyle Lee , Bianka Meçaj , Ian Moult

We discuss recent results on the three-loop (next-to-next-to-leading order, NNLO) time-like splitting functions of QCD and the two-loop (NNLO) coefficient functions in one-particle inclusive e+e- annihilation. These results form the basis…

高能物理 - 唯象学 · 物理学 2009-11-11 A. Mitov , S. Moch , A. Vogt

We have calculated the complete matrix of three-loop helicity-difference (`polarized') splitting functions Delta P_ik^(2), i,k = q,g, in massless perturbative QCD. In this note we briefly discuss some properties of the polarized splitting…

高能物理 - 唯象学 · 物理学 2014-05-15 A. Vogt , S. Moch , J. A. M. Vermaseren

We compute the fermionic (n_f) contributions to the flavour non-singlet structure functions in unpolarized electromagnetic deep-inelastic scattering at third order of massless perturbative QCD. Complete results are presented for the…

高能物理 - 唯象学 · 物理学 2010-04-05 S. Moch , J. A. M. Vermaseren , A. Vogt

A leading twist expansion in terms of bilocal operators is proposed for the structure functions of deeply inelastic scattering near the elastic limit $x \to 1$, which is also applicable to a range of other hard quasi-elastic processes.…

高能物理 - 唯象学 · 物理学 2007-05-23 Ratindranath Akhoury , Michael G. Sotiropoulos , George Sterman

We compute the full three-loop coefficient functions for the structure functions F_2 and F_L in massless perturbative QCD. The results for F_L complete the next-to-next-to-leading order description of unpolarized electromagnetic…

高能物理 - 唯象学 · 物理学 2008-11-26 J. A. M. Vermaseren , A. Vogt , S. Moch

I study bottom quark fragmentation in the Standard Model Higgs decay H->b bbar, within the framework of perturbative fragmentation functions. I resum large collinear logarithms ln(m_H^2/m_b^2) in the next-to-leading logarithmic (NLL)…

高能物理 - 唯象学 · 物理学 2010-11-05 Gennaro Corcella

The behaviour of the quark coefficient functions in deep-inelastic scattering is investigated for large values of the Bjorken variable x. By combining results of soft-gluon resummation and fixed-order calculations, we determine the…

高能物理 - 唯象学 · 物理学 2009-10-31 A. Vogt

To date, the appearance and resummation of "super-leading" logarithms in hadron-hadron collisions has been studied only for massless parton states. We extend the formalism to include an arbitrary number of massive final states. We derive…

高能物理 - 唯象学 · 物理学 2025-10-30 Upalaparna Banerjee , Romy Grünhofer , Matthias König , Yibei Li , Matthias Neubert , Josua Scholze

Using methods of effective field theory, a systematic analysis of the fragmentation functions D_{a/H}(x,m_Q) of a hadron H containing a heavy quark Q is performed (with a=Q,Q_bar,q,q_bar,g). By integrating out pair production of virtual and…

高能物理 - 唯象学 · 物理学 2007-06-15 Matthias Neubert

Next-to-leading order parton fragmentation functions into light mesons are presented. They have been extracted from real and simulated $e^+e^-$ data and used to predict inclusive single particle distributions at different machines.

高能物理 - 唯象学 · 物理学 2007-05-23 Simona Rolli

We employ relations between spacelike and timelike deep-inelastic processes in perturbative QCD to calculate the next-to-next-to-leading order (NNLO) contributions to the timelike quark-quark and gluon-gluon splitting functions for the…

高能物理 - 唯象学 · 物理学 2008-11-26 S. Moch , A. Vogt