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We consider the Lagrange density of non-relativistic Quantum Chromodynamics expanded up to order $1/m^2$, where $m$ is the heavy quark mass, and compute several matching coefficients up to two-loop order. Our results are building blocks for…

High Energy Physics - Phenomenology · Physics 2019-09-25 Marvin Gerlach , Go Mishima , Matthias Steinhauser

We evaluate all two-point correlation functions of the Curci-Ferrari (CF) model in four dimensions and in the presence of mass-degenerate fundamental quark flavors, as a natural extension of an earlier investigation in the quenched…

High Energy Physics - Theory · Physics 2021-12-01 Nahuel Barrios , John A. Gracey , Marcela Peláez and , Urko Reinosa

We investigate the unpolarized pion and kaon fragmentation functions, employing the nonlocal chiral-quark model, which manifests the nonlocal interactions between the quarks and pseudoscalar mesons, considering the explicit…

High Energy Physics - Phenomenology · Physics 2015-06-04 Seung-il Nam , Chung-Wen Kao

In this work, using the Laplace transformation technique we present our results for non-singlet quark distributions as well as nucleon structure function $F_2(x,Q^2)$ in unpolarized case at next-to-next-to-leading order (NNLO) QCD accuracy.…

High Energy Physics - Phenomenology · Physics 2020-06-09 Maral Salajegheh , S. Mohammad Moosavi Nejad , Abolfazl Mirjalili , S. Atashbar Tehrani

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function $F_2(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ and the associated operator matrix element $A_{qq,Q}^{(3), \rm…

High Energy Physics - Phenomenology · Physics 2014-07-23 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , M. Round , C. Schneider , F. Wißbrock

We present the matching relations of the variable flavor number scheme at next-to-leading order, which are of importance to define heavy quark partonic distributions for the use at high energy colliders such as Tevatron and the LHC. The…

High Energy Physics - Phenomenology · Physics 2018-07-04 J. Blümlein , A. De Freitas , C. Schneider , K. Schönwald

We briefly discuss recent results on the evolution of unpolarized parton densities and structure functions in massless perturbative QCD. Present partial results on the next-to-next-to-leading order (NNLO) evolution kernels prove sufficient…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. L. van Neerven , A. Vogt

Studying the diffusion and kinetic equilibration of heavy quarks within a hot QCD medium profits from the knowledge of a coloured Lorentz force that acts on them. Starting from the spatial components of the vector current, and carrying out…

High Energy Physics - Phenomenology · Physics 2021-06-25 M. Laine

We present here the first result on the three-loop gluon jet function in perturbative QCD. Using the three-loop coefficient functions [1,2] for deep-inelastic scattering via the exchange of a virtual photon that couples to quarks or a…

High Energy Physics - Phenomenology · Physics 2018-11-28 Pulak Banerjee , Prasanna K. Dhani , V. Ravindran

In this paper we calculate analytically the perturbative matching coefficients for unpolarized quark and gluon Transverse-Momentum-Dependent (TMD) Parton Distribution Functions (PDFs) and Fragmentation Functions (FFs) through…

High Energy Physics - Phenomenology · Physics 2021-07-07 Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu

We present a unified framework for the perturbative factorization connecting Euclidean correlations to light-cone correlations. Starting from nonlocal quark and gluon bilinear correlators, we derive the relevant hard-matching kernel up to…

High Energy Physics - Phenomenology · Physics 2023-11-15 Fei Yao , Yao Ji , Jian-Hui Zhang

We present the even-N moments N =< 20 of the fourth-order (N^3LO) contribution P_{gq}^(3)(x) to the quark-to-gluon splitting function in perturbative QCD. These moments, obtained by analytically computing off-shell operator matrix elements…

High Energy Physics - Phenomenology · Physics 2024-04-16 G. Falcioni , F. Herzog , S. Moch , A. Pelloni , A. Vogt

We present results on the fourth-order splitting functions and coefficient functions obtained using Forcer, a four-loop generalization of the Mincer program for the parametric reduction of self-energy integrals. We have computed the…

High Energy Physics - Phenomenology · Physics 2016-05-27 B. Ruijl , T. Ueda , J. A. M. Vermaseren , J. Davies , A. Vogt

We present a first lattice QCD calculation of the unpolarized nucleon's isovector transverse-momentum-dependent parton distribution functions (TMDPDFs), which are essential to predict observables of multi-scale, semi-inclusive processes in…

We compute fragmentation functions for a quark to fragment to a quarkonium through an $S$-wave spin-triplet heavy quark-antiquark pair. We consider both color-singlet and color-octet heavy quark-antiquark ($Q\bar Q$) pairs. We give results…

High Energy Physics - Phenomenology · Physics 2015-04-15 Geoffrey T. Bodwin , Hee Sok Chung , U-Rae Kim , Jungil Lee

There exist full leading-order-in-alpha_s numerical calculations of the rates for massless quarks and gluons to split and join in the background of a quark-gluon plasma through hard, nearly collinear bremsstrahlung and inverse…

High Energy Physics - Phenomenology · Physics 2009-02-20 Peter Arnold , Caglar Dogan

We consider the collinear limit of QCD amplitudes at one-loop order, and their factorization properties directly in colour space. These results apply to the multiple collinear limit of an arbitrary number of QCD partons, and are a basic…

High Energy Physics - Phenomenology · Physics 2009-11-10 German Rodrigo , Stefano Catani , Daniel de Florian , Werner Vogelsang

We present a new extraction of unpolarized Dihadron Fragmentation Functions, which describe the probability density for an unpolarized parton to fragment into a $\pi^+ \pi^-$ pair. Our analysis is based on data from the BELLE collaboration.…

High Energy Physics - Phenomenology · Physics 2025-09-16 Virgile Mahaut , Luca Polano , Alessandro Bacchetta , Valerio Bertone , Matteo Cerutti , Marco Radici , Lorenzo Rossi

We discuss the determination of polarized parton distributions from a next-to-leading order analysis of recent experimental data. We extract the first moment of the polarized quark and gluon distribution and assess the corresponding…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Forte , Richard D. Ball , Giovanni Ridolfi

We discuss and compare the efficiency of various methods, combinations of point-to-all propagators, stochastic timeslice-to-all propagators, the one-end trick and sequential propagators, to compute two-point correlation functions of…

High Energy Physics - Lattice · Physics 2017-10-11 Abdou Abdel-Rehim , Constantia Alexandrou , Joshua Berlin , Mattia Dalla Brida , Jacob Finkenrath , Marc Wagner