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We compute the anomalous dimension of the third and fourth moments of the flavour non-singlet twist-2 Wilson and transversity operators at three loops in both the MSbar and RI' schemes. To assist with the extraction of estimates of matrix…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. A. Gracey

The calculations for the production of heavy quarks in deeply inelastic scattering (DIS) can be seen as an illustrative example in the framework of perturbative Quantum Chromo Dynamics (pQCD). In this thesis, I give an overview of all steps…

High Energy Physics - Phenomenology · Physics 2020-05-18 Felix Hekhorn

Recent results on the calculation of 3-loop massive operator matrix elements in case of one and two heavy quark masses are reported. They concern the $O(n_f T_F^2 C_{F,A})$ and $O(T_F^2 C_{F,A})$ gluonic corrections, two-mass quarkonic…

High Energy Physics - Phenomenology · Physics 2016-08-14 J. Ablinger , J. Blümlein , A. De Freitas , A. Hasselhuhn , S. Klein , C. Raab , M. Round , C. Schneider , F. Wißbrock

We present the analytic calculation of the Mellin moments of the structure functions F_2, F_3 and F_L in perturbative QCD up to second order corrections and in leading twist approximation. We calculate the 2-loop contributions to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Moch , J. A. M. Vermaseren

We present a factorization framework that takes into account the production of heavy quarks through gluon splitting in the thrust distribution for e+ e- --> hadrons. The explicit factorization theorems and some numerical results are…

High Energy Physics - Phenomenology · Physics 2014-12-23 Andre H. Hoang , Vicent Mateu , Piotr Pietrulewicz

We present an explicit OPE analysis for the first moment of $g_1$ up to order $M^2/Q^2$. This result allows to calculate power corrections to the Bjorken and Ellis--Jaffe sum rules.

High Energy Physics - Phenomenology · Physics 2009-10-22 B. Ehrnsperger , L. Mankiewicz , A. Schäfer

We consider elastic quark-quark scattering at high energy and fixed transferred momentum. Performing factorization of soft gluon exchanges into Wilson line expectation value we find that there is one-to-one correspondence between high…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. A. Korchemskaya , G. P. Korchemsky

The two-loop massive operator matrix elements for the fermionic local twist--2 operators with external massive fermion lines in Quantum Electrodynamics (QED) are calculated up to the constant terms in the dimensional parameter $\epsilon = D…

High Energy Physics - Phenomenology · Physics 2011-11-02 Johannes Blümlein , Abilio De Freitas , Wilhelmus van Neerven

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

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

We present results for the one loop anomalous dimension matrix of flavor non-singlet twist-4 operators of lowest spin that contribute to the leading moment of the $F_2$ structure function in deep inelastic electron-nucleon scattering. We…

High Energy Physics - Phenomenology · Physics 2013-08-22 Michael J. Glatzmaier , Sonny Mantry , Michael J. Ramsey-Musolf

The non-first-order-factorizable contributions (The terms 'first-order-factorizable contributions' and 'non-first-order-factorizable contributions' have been introduced and discussed in Refs. \cite{Behring:2023rlq,Ablinger:2023ahe}. They…

High Energy Physics - Phenomenology · Physics 2024-05-15 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider , K. Schönwald

We extend the FONLL general-mass variable-flavour-number scheme to the case of longitudinally polarised DIS structure functions, accounting for perturbative corrections up to $\mathcal{O}(\alpha_s^2)$. We quantify the impact of charm quark…

High Energy Physics - Phenomenology · Physics 2024-02-28 Felix Hekhorn , Giacomo Magni , Emanuele R. Nocera , Tanjona R. Rabemananjara , Juan Rojo , Adrianne Schaus , Roy Stegeman

We compute the two-loop heavy quark jet-function in the heavy quark limit. This is one of the key ingredients in next-to-next-to-leading order (NNLO) and next-to-next-to-leading-log order (NNLL) computations of the invariant mass…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ambar Jain , Ignazio Scimemi , Iain W. Stewart

We describe in detail the calculation of the two-loop corrections to the QED Bhabha scattering cross section due to the vacuum polarization by heavy fermions. Our approach eliminates one mass scale from the most challenging part of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Bonciani , A. Ferroglia , A. A. Penin

Heavy flavour production like $J/\psi$ and $D$- meson production in scattering of electrons/unpolarized protons off polarized proton target offer promising probes to investigate gluon Sivers function. In this talk, I will summarize our…

High Energy Physics - Phenomenology · Physics 2017-03-08 Rohini M. Godbole , Abhiram Kaushik , Anuradha Misra , Vaibhav Rawoot , Bipin Sonawane

We study deep inelastic scattering in gauge theories which have dual string descriptions. As a function of $gN$ we find a transition. For small $gN$, the dominant operators in the OPE are the usual ones, of approximate twist two,…

High Energy Physics - Theory · Physics 2009-11-07 Joseph Polchinski , Matthew J. Strassler

We review the computation of the anomalous dimensions of the twist-2 unpolarized operators in the large N_f expansion. Results are discussed for the predominantly gluonic singlet operator and the O(1/N_f) part of the 3-loop splitting…

High Energy Physics - Phenomenology · Physics 2007-05-23 JA Gracey

The one-loop correction to heavy quark pair back-to-back production in unpolarized semi-inclusive deep inelastic scattering is given in this work in the framework of transverse momentum dependent(TMD) factorization. Both unpolarized and…

High Energy Physics - Phenomenology · Physics 2017-12-06 Guang-Peng Zhang

We present a next-to-next-to-leading order (NNLO) realization of a general quark mass scheme (S-ACOT-$\chi$) in deep inelastic scattering and explore the impact of NNLO terms on heavy-quark structure functions $F_{2,L}^{c}(x,Q)$. An amended…

High Energy Physics - Phenomenology · Physics 2013-05-30 Marco Guzzi , Pavel M. Nadolsky , Hung-Liang Lai , C. -P. Yuan