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We compute the matching coefficient between the quantum chromodynamics (QCD) and the non-relativistic QCD ( NRQCD) for the flavor-changing scalar current involving the heavy charm and bottom quark, up to the three-loop order within the…

High Energy Physics - Phenomenology · Physics 2023-05-03 Wei Tao , Ruilin Zhu , Zhen-Jun Xiao

We present analytical next-to-leading order results for the correlator of baryonic currents at the three-loop level with one finite mass quark. We obtain the massless and the HQET limits of the correlator as particular cases from the…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Groote , J. G. Körner , A. A. Pivovarov

Future high luminosity polarized deep--inelastic scattering experiments will improve both the knowledge of the spin sub--structure of the nucleons and contribute further to the precision determination of the strong coupling constant, as…

High Energy Physics - Phenomenology · Physics 2022-02-16 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

One of the great challenges of QCD is to determine the partonic structure of the nucleon from first principles. In this work, we provide such a determination of the flavor non-singlet ($u-d$) unpolarized parton distribution function (PDF),…

High Energy Physics - Lattice · Physics 2021-03-03 Manjunath Bhat , Krzysztof Cichy , Martha Constantinou , Aurora Scapellato

We present an extraction of the unpolarized transverse-momentum-dependent parton distribution and fragmentation functions that takes into account possible differences between quark flavors and final-state hadrons. The extraction is based on…

New results at four-loop order in perturbative QCD for the first two Taylor coefficients of the heavy quark vacuum polarization function are presented. They can be used to perform a precise determination of the charm- and bottom-quark mass.…

High Energy Physics - Phenomenology · Physics 2009-01-07 K. G. Chetyrkin , J. H. Kühn , C. Sturm

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…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. A. M. Vermaseren , S. Moch , A. Vogt

We have calculated the n_f^2 and n_f^3 contributions to the flavour non-singlet structure functions F_2 and F_L in inclusive deep-inelastic scattering at the fourth order in the strong coupling alpha_s. The coefficient functions have been…

High Energy Physics - Phenomenology · Physics 2023-04-12 A. Basdew-Sharma , A. Pelloni , Franz Herzog , A. Vogt

In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zvi Bern , Vittorio Del Duca , William B. Kilgore , Carl R. Schmidt

Three-particle correlations in quark and gluon jets are computed for the first time in perturbative QCD. We give results in the double logarithmic approximation and the modified leading logarithmic approximation. In both resummation…

High Energy Physics - Phenomenology · Physics 2011-09-08 Redamy Perez Ramos , Vincent Mathieu , Miguel-Angel Sanchis-Lozano

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…

High Energy Physics - Phenomenology · Physics 2023-11-29 Evan Craft , Mark Gonzalez , Kyle Lee , Bianka Meçaj , Ian Moult

We have extended our previous computations of the even-N moments of the flavour-singlet four-loop splitting functions to N = 12 for the pure-singlet quark case and N = 10 for all other cases. These results, obtained using physical…

High Energy Physics - Phenomenology · Physics 2023-10-10 S. Moch , B. Ruijl , T. Ueda , J. Vermaseren , A. Vogt

We present quantitative results on the single-mass heavy-flavor contributions in the region of large virtualities $Q^2$ up to three-loop order to the unpolarized structure function $F_2(x,Q^2)$ and the polarized structure function…

High Energy Physics - Phenomenology · Physics 2026-01-21 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider , K. Schönwald

We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$. We discuss the different methods used to compute…

High Energy Physics - Phenomenology · Physics 2014-07-15 A. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , C. Raab , M. Round , C. Schneider , F. Wißbrock

We compute the complete set of two-loop beam functions for the transverse momentum distribution of the leading jet produced in association with an arbitrary colour-singlet system. Our results constitute the last missing ingredient for the…

High Energy Physics - Phenomenology · Physics 2023-05-17 Samuel Abreu , Jonathan R. Gaunt , Pier Francesco Monni , Luca Rottoli , Robert Szafron

Using the approach based on conformal symmetry we calculate the two-loop coefficient function for the vector flavor-nonsinglet contribution to deeply-virtual Compton scattering (DVCS). The analytic expression for the coefficient function in…

High Energy Physics - Phenomenology · Physics 2021-08-03 V. M. Braun , A. N. Manashov , S. Moch , J. Schoenleber

We derive the next-to-leading order splitting kernels for the scale evolution of fragmentation functions for transversely polarized quarks into transversely polarized hadrons.

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Stratmann , W. Vogelsang

We calculate the next-to-next-to-leading order ${\cal O}(\alpha_s^4)$ one-loop squared corrections to the production of heavy quark pairs in quark-antiquark annihilations. These are part of the next-to-next-to-leading order ${\cal…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. G. Körner , Z. Merebashvili , M. Rogal

We report on the progress of our study on the color-electric correlation functions under gradient flow on the lattice. This calculation is the first step of our long-term project to estimate a series of important transport coefficients, of…

High Energy Physics - Lattice · Physics 2020-01-01 Luis Altenkort , Olaf Kaczmarek , Lukas Mazur , Hai-Tao Shu

The perturbative three-loop result for the thermodynamic potential of QCD at finite temperature and chemical potential as obtained in the framework of dimensional reduction is compared with the exact result in the limit of large flavor…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Ipp , A. Rebhan , A. Vuorinen
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