Bernd A. Kniehl

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Person:240544

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zbMath Open kniehl.bernd-aMaRDI QIDQ240544

List of research outcomes

PublicationDate of PublicationType
Matching the standard model to heavy-quark effective theory and nonrelativistic QCD2023-06-20Paper
Renormalization of three-quark operators at two loops in the RI'/SMOM scheme2023-06-20Paper
Specializations of partial differential equations for Feynman integrals2022-10-27Paper
Hypergeometric Functions and Feynman Diagrams2022-01-18Paper
Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in \(\mathcal{N} = 4\) SYM theory2021-10-11Paper
Moments \(n = 2\) and \(n = 3\) of the Wilson twist-two operators at three loops in the RI'/SMOM scheme2021-09-24Paper
Dipole subtraction vs. phase space slicing in NLO NRQCD heavy-quarkonium production calculations2021-09-20Paper
Dipole subtraction at next-to-leading order in nonrelativistic-QCD factorization2021-09-17Paper
Derivatives of any Horn-type hypergeometric functions with respect to their parameters2021-09-17Paper
Bilinear quark operators in the RI/SMOM scheme at three loops2020-06-23Paper
Two-loop diagrams in nonrelativistic QCD with elliptics2020-06-09Paper
Three-loop effective potential of general scalar theory via differential equations2018-11-27Paper
Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation2018-02-14Paper
Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 12017-12-04Paper
HYPERDIRE -- hypergeometric functions differential reduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function \(F_C\) of three variables2017-11-30Paper
On the \(b\)-quark running mass in QCD and the SM2017-02-27Paper
Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling2016-11-26Paper
HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables2016-09-13Paper
Color-kinematic duality for form factors2016-08-12Paper
Master integrals for the four-loop Sudakov form factor2016-03-07Paper
Two-loop electroweak threshold corrections in the Standard Model2016-02-26Paper
Electroweak corrections to \(Z\)-boson hadroproduction at finite transverse momentum2016-02-26Paper
Counting master integrals: Integration by parts vs. functional equations2016-01-30Paper
Corrigendum to ``Two-loop electroweak threshold corrections to the bottom and top Yukawa couplings2016-01-06Paper
Two-loop electroweak threshold corrections to the bottom and top Yukawa couplings2015-10-29Paper
On the difference between the pole and the \(\bar{\mathrm{MS}}\) masses of the top quark at the electroweak scale2015-05-19Paper
Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions2014-03-27Paper
Average gluon and quark jet multiplicities at higher orders2014-03-10Paper
Solution to Bethe-Salpeter equation via Mellin-Barnes transform2013-05-13Paper
When epsilon-expansion of hypergeometric functions is expressible in terms of multiple polylogarithms: the two-variables examples2012-12-19Paper
Bottom-flavored hadrons from top-quark decay at next-to-leading order in the general-mass variable-flavor-number scheme2012-09-03Paper
Mellin-Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions2012-05-08Paper
Fully double-logarithm-resummed cross sections2012-01-18Paper
Finding new relationships between hypergeometric functions by evaluating Feynman integrals2012-01-18Paper
Timelike single-logarithm-resummed splitting functions2012-01-18Paper
The Epsilon Expansion of Feynman Diagrams via Hypergeometric Functions and Differential Reduction2011-10-02Paper
https://portal.mardi4nfdi.de/entity/Q30042732011-06-01Paper
Counting master integrals: integration by parts vs. differential reduction2011-05-26Paper
Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case2011-03-04Paper
Analytic result for the one-loop scalar pentagon integral with massless propagators2011-02-03Paper
Differential Reduction Techniques for the Evaluation of Feynman Diagrams2011-01-12Paper
On-shell renormalization of the mixing matrices in Majorana neutrino theories2010-09-13Paper
Medium-modified DGLAP evolution of fragmentation functions from large to small x2010-09-13Paper
Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering2010-09-13Paper
Two-loop electroweak fermionic corrections to \(\sin^2\Theta_{eff}^{b\bar{b}}\)2010-09-10Paper
Strong-coupling constant at three loops in momentum subtraction scheme2010-09-10Paper
Two-loop electroweak corrections to the \(A^{0}\gamma \gamma \) and \(A^{0}\)gg couplings of the CP-odd Higgs boson2010-08-06Paper
Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters2010-08-06Paper
"Sixth root of unity" and Feynman diagrams: hypergeometric function approach point of view2010-07-14Paper
All-order epsilon-expansions of hypergeometric functions of one variable2010-03-09Paper
Differential Reduction Algorithms for Hypergeometric Functions Applied to Feynman Diagram Calculation2009-02-09Paper
Feynman Diagrams, Differential Reduction, and Hypergeometric Functions2009-01-29Paper
Hypergeometric functions, their epsilon expansions and Feynman diagrams2008-10-20Paper
\(\mathcal O(G^2_Fm_t^4)\) two-loop electroweak correction to Higgs-Boson decay to bottom quarks2007-06-21Paper
Two-loop sunset diagrams with three massive lines2007-04-20Paper
Field renormalization constant for unstable particles2002-04-07Paper

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