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We present a leading-order pQCD calculation of the helicity-flip $\Delta\to N\gamma^*$ matrix element $G_0$ (Coulomb quadrupole amplitude $C2$), taking into account the transverse momenta of the quarks and the contribution from the gluons.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ahmad Idilbi , Xiangdong Ji , Jian-Ping Ma

We present three-loop (NNNLO) corrections to the heavy-to-heavy quark transitions in the limit of equal initial and final quark masses. In analogy with the previously found NNLO corrections, the bulk of the result is due to the beta_0^2…

High Energy Physics - Phenomenology · Physics 2011-01-25 John Paul Archambault , Andrzej Czarnecki

We compute the one-loop QCD amplitude for the process gg-->Q\bar{Q} in dimensional regularization through order \epsilon^2 in the dimensional regulator and for arbitrary quark mass values. This result is an ingredient of the NNLO…

High Energy Physics - Phenomenology · Physics 2008-12-30 Charalampos Anastasiou , S. Mert Aybat

We calculate a correction to the electromagnetic current induced by a heavy quark loop. The contribution of this correction to the vacuum polarization function appears at the O(alpha_s^3) order of perturbation theory and has a qualitatively…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. Groote , A. A. Pivovarov

We present a calculation of the twist-3 T-odd chiral-even fragmentation functions $G^{\perp}$ and $\tilde{G}^{\perp}$ using a spectator model. We consider the effect gluon exchange to calculate all necessary one-loop diagrams for the…

High Energy Physics - Phenomenology · Physics 2016-10-07 Yongliang Yang , Zhun Lu , Ivan Schmidt

We briefly summarise the results for the four top-quark production process in the 4$\ell$ decay channel at NLO accuracy in perturbative QCD. We employ the narrow-width approximation for the treatment of the unstable particles, preserving…

High Energy Physics - Phenomenology · Physics 2024-10-17 Nikolaos Dimitrakopoulos

We present the calculation at next-to-leading order (NLO) in alpha_s of the fragmentation function of a gluon into heavy quarkonium in the color-octet spin-singlet S-wave channel. To calculate the real NLO corrections, we adapt a…

High Energy Physics - Phenomenology · Physics 2019-02-20 Pierre Artoisenet , Eric Braaten

We compute the unpolarized quark and gluon transverse-momentum dependent fragmentation functions (TMDFFs) at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. The calculation is based on a relation between the TMDFF and…

High Energy Physics - Phenomenology · Physics 2021-07-21 Markus A. Ebert , Bernhard Mistlberger , Gherardo Vita

We calculate the one-loop twist-3 gluon contribution to the flavor-singlet structure function g_2(x,Q^2) in polarized deep-inelastic scattering and find that it is dominated by the contribution of the three-gluon operator with the lowest…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. M. Braun , G. P. Korchemsky , A. N. Manashov

We report a new calculation of the soft-gluon threshold resummation for the Higgs boson pair production in the dominant production mode -- gluon-gluon fusion -- up to the next-to-next-to-next-to-leading logarithmic (N$^3$LL) accuracy. After…

High Energy Physics - Phenomenology · Physics 2023-02-13 A. H. Ajjath , Hua-Sheng Shao

I present results for the resummation of soft and collinear gluon contributions to QCD hard-scattering cross sections at two loops. This requires the calculation of UV and IR divergences through two loops and the construction of soft…

High Energy Physics - Phenomenology · Physics 2010-11-19 Nikolaos Kidonakis

We present a lattice QCD determination of the Mellin moments of the unpolarized gluon parton distribution function in the proton. The analysis is based on matrix elements of nonlocal gluon operators coupled to momentum-boosted proton…

High Energy Physics - Lattice · Physics 2026-05-29 Joseph Delmar , Krzysztof Cichy , Martha Constantinou , Yong Zhao

The $Q^2$ evolution of fragmentation function in non-equilibrium QCD by using DGLAP evolution equation may be necessary to study hadron formation from quark-gluon plasma at RHIC and LHC. In this paper we study splitting functions in…

High Energy Physics - Phenomenology · Physics 2012-11-27 Gouranga C. Nayak

We study higher-order QCD corrections for the associated production of a top-antitop quark pair and a $W$ boson ($t{\bar t}W$ production) in proton-proton collisions. We calculate approximate NNLO (aNNLO) and approximate N$^3$LO (aN$^3$LO)…

High Energy Physics - Phenomenology · Physics 2024-05-22 Nikolaos Kidonakis , Chris Foster

The universal fragmentation functions of gluon into the flavored quarkonia $B_c$ and (polarized) $B_c^*$ are computed within NRQCD factorization framework, at the lowest order in velocity expansion and strong coupling constant. It is…

High Energy Physics - Phenomenology · Physics 2022-10-12 Feng Feng , Yu Jia , Deshan Yang

Motivated by the desire to understand the nucleon mass structure in terms of light-cone distributions, we introduce the twist-four parton distribution function $F(x)$ whose first moment is the gluon condensate in the nucleon. We present the…

High Energy Physics - Phenomenology · Physics 2020-08-12 Yoshitaka Hatta , Yong Zhao

We provide the last missing ingredient necessary to approximate one-loop amplitudes in QCD with massive quarks in the limit of vanishing energy of a single gluon up to terms suppressed by this energy. Our main result is a soft operator…

High Energy Physics - Phenomenology · Physics 2026-02-13 Michał Czakon , Kilian Erhard Minguez , Felix Eschment

I discuss recent theoretical results with soft-gluon corrections for various top-quark production processes through approximate N$^3$LO, including soft anomalous dimensions through three loops. I present numerical results for total cross…

High Energy Physics - Phenomenology · Physics 2023-02-21 Nikolaos Kidonakis

I present calculations of approximate corrections from NNLL soft-gluon resummation for total and differential cross sections in top-antitop pair production and single-top production in hadronic collisions. I show that soft-gluon corrections…

High Energy Physics - Phenomenology · Physics 2023-02-21 Nikolaos Kidonakis

We present the one-loop QCD amplitudes for two external massless quarks and three external gluons ($\bar{q}qggg$). This completes the set of one-loop amplitudes needed for the next-to-leading-order corrections to three-jet production at…

High Energy Physics - Phenomenology · Physics 2010-11-15 Z. Bern , L. Dixon , D. A. Kosower