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This is a short review of recent developments in calculation of higher order corrections to various two-point correlators and related quantities in (massless) QCD.

High Energy Physics - Phenomenology · Physics 2015-01-28 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We present an effective field theory suitable to describe a non-relativistic particle-antiparticle pair of heavy scalars based on the gauge group SU(3). Its formulation is analogous to that of "velocity NRQCD" (vNRQCD), a non-relativistic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andre Hoang , Pedro Ruiz-Femenia

We use lattice QCD simulations, with MILC gluon configurations and HISQ c-quark propagators, to make very precise determinations of moments of charm-quark pseudoscalar, vector and axial-vector correlators. These moments are combined with…

We calculate the O(alpha_s^3 ln(alpha_s)) contributions to the heavy-quarkonium production and annihilation rates. Our result sheds new light on the structure of the high-order perturbative corrections and opens a new perspective for a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bernd A. Kniehl , Alexander A. Penin , Vladimir A. Smirnov , Matthias Steinhauser

We present the two-loop helicity amplitudes for the scattering of massless quarks in QCD. We use projector techniques to compute the coefficients of the general four-quark amplitude at up to two-loops in conventional dimensional…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. W. N. Glover

The anomalous dimension of the heavy-light quark current in HQET is calculated up to four loops. The N$^3$LL perturbative correction to $f_B/f_D$ is obtained.

High Energy Physics - Phenomenology · Physics 2024-02-29 Andrey Grozin

HQET is an effective theory for QCD with N_f light quarks and a massive valence quark if the mass of the latter is much bigger than Lambda_QCD. As any effective theory, HQET is predictive only when a set of parameters has been determined…

High Energy Physics - Lattice · Physics 2013-12-10 Piotr Korcyl

The possibility of treating colour in one-loop amplitude calculations alike the other quantum numbers is briefly discussed for semi-numerical algorithms based on generalized unitarity and parametric integration techniques. Numerical results…

High Energy Physics - Phenomenology · Physics 2015-03-17 Jan Winter

We calculate the three-loop matching coefficient $C_{HH}$, required for a consistent description of Higgs boson pair production in gluon fusion through next-to-next-to-leading order QCD in the heavy top quark approximation. We also compute…

High Energy Physics - Phenomenology · Physics 2015-06-22 Jonathan Grigo , Kirill Melnikov , Matthias Steinhauser

We show that the one-loop QCD correction to deeply-virtual Compton scattering can be factorized into the finite perturbative contributions and the collinearly-divergent terms, which correspond to the matrix elements of the off-forward…

High Energy Physics - Phenomenology · Physics 2009-12-30 Xiangdong Ji , Jonathan Osborne

We calculate the one-loop non-factorizable QCD corrections to the production and decay of pairs of top quarks at various collider experiments. These non-factorizable corrections interconnect the different production and decay stages of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. Beenakker , F. A. Berends , A. P. Chapovsky

We present the perturbative heavy-quark condensate at five-loop order in QCD. This constitutes the first calculation at this order accounting for non-vanishing quark masses. Our result confirms the computation of the five-loop vacuum…

High Energy Physics - Phenomenology · Physics 2026-05-12 Andreas Maier , Peter Marquard , York Schröder

We compute the three-loop corrections to the potential of two heavy quarks. In particular we consider in this Letter the purely gluonic contribution which provides in combination with the fermion corrections of Ref. \cite{Smirnov:2008pn}…

High Energy Physics - Phenomenology · Physics 2010-04-23 Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

We compute squared matrix elements at next-to-next-to-leading order in perturbative quantum chromodynamics for the production of two or three (on- or off-shell) photons mediated via (light or heavy) quark loops. Our method handles all cases…

High Energy Physics - Phenomenology · Physics 2025-10-22 Dario Kermanschah , Matilde Vicini

In this talk, we present the first, numerically stable, results for the one-loop amplitudes needed for computing W,Z + 3 jet cross sections at the LHC to next-to-leading order in the QCD coupling. We implemented these processes in BlackHat,…

High Energy Physics - Phenomenology · Physics 2008-08-08 C. F. Berger , Z. Bern , L. J. Dixon , F. Febres Cordero , D. Forde , H. Ita , D. A. Kosower , D. Maitre

In this article, we assume that the two quarks have unequal masses and calculate the next-to-leading order contributions to the spectral densities of the mesonic two-point correlation functions of the vector, axialvector, scalar and…

High Energy Physics - Phenomenology · Physics 2013-11-08 Zhi-Gang Wang

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…

High Energy Physics - Phenomenology · Physics 2026-04-27 Thomas Gehrmann , Andreas von Manteuffel , Vasily Sotnikov , Tong-Zhi Yang

The strange quark mass is calculated from QCD sum rules for the divergence of the vector as well as axial-vector current in the next-next-to-leading logarithmic approximation. The determination for the divergence of the axial-vector current…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthias Jamin , Manfred M"unz

We present the one-loop matching condition for the unpolarized and polarized generalized quark distributions in the non-singlet case. The matching condition links the quasi distributions defined in terms of spacelike correlators at finite…

High Energy Physics - Phenomenology · Physics 2015-09-28 Xiangdong Ji , Andreas Schäfer , Xiaonu Xiong , Jian-Hui Zhang

A one-loop matching calculation between Lattice NRQCD and full QCD for the heavy-light axial current is described and the effects on f_B are discussed.

High Energy Physics - Lattice · Physics 2009-10-30 Junko Shigemitsu , Colin J. Morningstar
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