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Related papers: 2- and 3-Loop Heavy Flavor Corrections to Transver…

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We describe the calculation of the two--loop massive operator matrix elements with massive external fermions in QED. We investigate the factorization of the $O(\alpha^2)$ initial state corrections to $e^+e^-$ annihilation into a virtual…

High Energy Physics - Phenomenology · Physics 2011-11-29 J. Blümlein , A. De Freitas , W. L. van Neerven

We compute the two-mass contributions to the polarized massive operator matrix element $A_{gg,Q}^{(3)}$ at third order in the strong coupling constant $\alpha_s$ in Quantum Chromodynamics analytically. These corrections are important…

High Energy Physics - Phenomenology · Physics 2020-05-27 J. Ablinger , J. Blümlein , A. De Freitas , A. Goedicke , M. Saragnese , C. Schneider , K. Schönwald

We calculate the two-loop flavor-singlet axial-vector and gluon transversity coefficient functions for deeply virtual Compton scattering in QCD. We observe interesting properties regarding the transcendentality of the transversity…

High Energy Physics - Phenomenology · Physics 2024-02-06 Yao Ji , Jakob Schoenleber

We calculate the two-mass QCD contributions to the massive operator matrix element $A_{gg,Q}$ at $\mathcal{O} (\alpha_s^3)$ in analytic form in Mellin $N$- and $z$-space, maintaining the complete dependence on the heavy quark mass ratio.…

High Energy Physics - Phenomenology · Physics 2018-05-09 J. Ablinger , J. Blümlein , A. De Freitas , A. Goedicke , C. Schneider , K. Schönwald

We review our transverse momentum dependent factorization and resummation formalism for heavy flavor dijet production at the EIC. In this formalism, we have calculated the heavy flavor mass corrections in the collinear-soft and jet…

High Energy Physics - Phenomenology · Physics 2023-02-08 Zhong-Bo Kang , Jared Reiten , Ding Yu Shao , John Terry

Non-factorizable two loop corrections to heavy to light flavor changing neutral current transitions due to matrix elements of current-current operators are calculated analytically for arbitrary momentum transfer. This extends previous works…

High Energy Physics - Phenomenology · Physics 2019-01-24 Stefan de Boer

The $O(\alpha_s^2)$ massive operator matrix elements for unpolarized and polarized heavy flavor production at asymptotic values $Q^2 >> m^2$ are calculated in Mellin space without applying the integration-by-parts method. We confirm…

High Energy Physics - Phenomenology · Physics 2007-06-20 I. Bierenbaum , J. Blümlein , S. Klein

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

The heavy quark effects in deep--inelastic scattering in the asymptotic regime $Q^2 \gg m^2$ can be described by heavy flavor operator matrix elements. Complete analytic expressions for these objects are currently known to ${\sf NLO}$. We…

High Energy Physics - Phenomenology · Physics 2009-06-25 I. Bierenbaum , J. Blümlein , S. Klein

We consider the transverse-momentum distribution of heavy flavours in hadronic collisions. We present a formalism in which large transverse-momentum logarithms are resummed at the next-to-leading level, and mass effects are included exactly…

High Energy Physics - Phenomenology · Physics 2010-02-03 M. Cacciari , M. Greco , P. Nason

We determine the anomalous dimension matrix for the transversity operator mixing into total derivative operators in the limit of a large number of quark flavors $n_f$ to fourth order in the strong coupling $\alpha_s$ in the…

High Energy Physics - Phenomenology · Physics 2022-05-23 S. Van Thurenhout

We present results on the calculation of the polarized 2- and 3-loop anomalous dimensions in a massive computation of the associated operator matrix element. We also discuss the treatment of $\gamma_5$ and derive results in the M-scheme.10

We provide a fast and precise Mellin-space implementation of the $O(\alpha_s)$ heavy flavor Wilson coefficients for charged current deep inelastic scattering processes. They are of importance for the extraction of the strange quark…

High Energy Physics - Phenomenology · Physics 2015-03-19 J. Blümlein , A. Hasselhuhn , P. Kovacikova , S. Moch

We calculate the complete three-loop O(alpha_s^3) anomalous dimension matrix for the dimension-five dipole operators that arise in the Standard Model after integrating out the top quark and the heavy electroweak bosons. Our computation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martin Gorbahn , Ulrich Haisch , Mikolaj Misiak

We calculate the massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure functions $F_L^{W^+}(x,Q^2)-F_L^{W^-}(x,Q^2)$ and $F_2^{W^+}(x,Q^2)-F_2^{W^-}(x,Q^2)$ in…

High Energy Physics - Phenomenology · Physics 2016-12-14 A. Behring , J. Blümlein , G. Falcioni , A. De Freitas , A. von Manteuffel , C. Schneider

We calculate the $O(\alpha_s^2)$ gluonic operator matrix elements for the twist--2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region $Q^2 \gg m^2$, up to the linear…

High Energy Physics - Phenomenology · Physics 2009-11-19 I. Bierenbaum , J. Blümlein , S. Klein

We calculate the polarized massive operator matrix element $A_{gq}^{(3)}(N)$ to 3-loop order in Quantum Chromodynamics analytically at general values of the Mellin variable $N$ both in the single- and double-mass case in the Larin scheme.…

High Energy Physics - Phenomenology · Physics 2021-02-03 A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , K. Schönwald , C. Schneider

In this proceeding we consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. At small transverse momentum the logarithmically-enhanced contributions can be organized to all perturbative…

High Energy Physics - Phenomenology · Physics 2014-07-21 Leandro Cieri

We calculate massive 5-propagator 2-loop integrals for operator matrix elements in the light-cone expansion, using Mellin-Barnes techniques and representations through generalized hypergeometric functions.

High Energy Physics - Phenomenology · Physics 2009-11-11 I. Bierenbaum , J. Blümlein , S. Klein

Both for quark flavor asymmetry and valence, we consider the anomalous dimension of the non-singlet twist-two quark operator of arbitrary Lorentz spin N at four loops in SU(nc) color gauge theory and present its term proportional to zeta(3)…

High Energy Physics - Phenomenology · Physics 2026-05-12 B. A. Kniehl , V. N. Velizhanin