Edit Profile (opens in new tab) Kniehl, Bernd A. Co-Author Distance Author ID: kniehl.bernd-a Published as: Kniehl, Bernd A.; Kniehl, B. A. Documents Indexed: 44 Publications since 2002 Co-Authors: 40 Co-Authors with 44 Joint Publications 469 Co-Co-Authors all top 5 Co-Authors 0 single-authored 12 Veretin, Oleg L. 6 Bytev, Vladimir V. 5 Kalmykov, Mikhail Yu. 5 Kotikov, Anatoly V. 4 Tarasov, Oleg V. 3 Albino, S. 3 Bolzoni, Paolo 3 Butenschön, Mathias 3 Kondrashuk, Igor 3 Notte-Cuello, Eduardo Alfonso 3 Pikelner, Andrey F. 3 Rojas-Medar, Marko Antonio 2 Boels, Rutger H. 2 Fugel, Frank 2 Kramer, Gustav 2 Moosavi Nejad, Seyed Mohammad 2 Onishchenko, Andrei I. 2 Parra-Ferrada, Ivan 2 Sirlin, Alberto 2 Yang, Gang 1 Allendes, Pedro 1 Almasy, Andrea A. 1 Assi, Benoît 1 Awramik, M. 1 Bednyakov, A. V. 1 Brod, Joachim 1 Chetyrkin, K. G. 1 Czakon, Michał 1 Freitas, Ayres 1 González, Iván 1 Hollik, Wolfgang 1 Jegerlehner, Fred 1 Moch, Sven-Olaf 1 Pérez-Ramos, Redamy 1 Scherbakova, E. S. 1 Soto, Joan 1 Steinhauser, Matthias 1 Velizhanin, V. N. 1 Ward, Bennie F. L. 1 Yost, Scott A. Serials 35 Nuclear Physics. B 3 Physics Letters. B 2 Computer Physics Communications 2 Journal of High Energy Physics all top 5 Fields 41 Quantum theory (81-XX) 12 Special functions (33-XX) 4 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of particles and systems (70-XX) 2 Functions of a complex variable (30-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 257 times in 166 Documents Cited by ▼ Year ▼ Color-kinematic duality for form factors. Zbl 1342.81551Boels, Rutger H.; Kniehl, Bernd A.; Tarasov, Oleg V.; Yang, Gang 49 2013 Master integrals for the four-loop Sudakov form factor. Zbl 1332.81126Boels, Rutger H.; Kniehl, Bernd A.; Yang, Gang 25 2016 Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters. Zbl 1192.81351Kalmykov, Mikhail Yu.; Kniehl, Bernd A. 20 2009 Two-loop sunset diagrams with three massive lines. Zbl 1109.81331Kniehl, B. A.; Kotikov, A. V.; Onishchenko, A. I.; Veretin, O. L. 18 2006 Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case. Zbl 1206.81089Bytev, Vladimir V.; Kalmykov, Mikhail Yu.; Kniehl, Bernd A. 17 2010 Finding new relationships between hypergeometric functions by evaluating Feynman integrals. Zbl 1229.81100Kniehl, Bernd A.; Tarasov, Oleg V. 15 2012 Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation. Zbl 1380.81423Kalmykov, Mikhail Yu.; Kniehl, Bernd A. 10 2017 Hypergeometric functions and Feynman diagrams. Zbl 1489.33010Kalmykov, Mikhail; Bytev, Vladimir; Kniehl, Bernd A.; Moch, Sven-Olaf; Ward, Bennie F. L.; Yost, Scott A. 10 2021 Two-loop diagrams in nonrelativistic QCD with elliptics. Zbl 1435.81240Kniehl, B. A.; Kotikov, A. V.; Onishchenko, A. I.; Veretin, O. L. 9 2019 Analytic result for the one-loop scalar pentagon integral with massless propagators. Zbl 1204.81075Kniehl, Bernd A.; Tarasov, Oleg V. 9 2010 HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables. Zbl 1344.33006Bytev, Vladimir V.; Kniehl, Bernd A. 8 2015 Field renormalization constant for unstable particles. Zbl 0991.81074Kniehl, Bernd A.; Sirlin, Alberto 7 2002 HYPERDIRE – hypergeometric functions differential reduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function \(F_C\) of three variables. Zbl 1375.33002Bytev, Vladimir V.; Kniehl, Bernd A. 7 2016 Solution to Bethe-Salpeter equation via Mellin-Barnes transform. Zbl 1262.81100Allendes, Pedro; Kniehl, Bernd A.; Kondrashuk, Igor; Notte-Cuello, Eduardo A.; Rojas-Medar, Marko 7 2013 Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in \(\mathcal{N} = 4\) SYM theory. Zbl 07408566Kniehl, B. A.; Velizhanin, V. N. 6 2021 On the difference between the pole and the \(\bar{\mathrm{MS}}\) masses of the top quark at the electroweak scale. Zbl 1311.81224Jegerlehner, Fred; Kalmykov, Mikhail Yu.; Kniehl, Bernd A. 5 2013 Two-loop electroweak threshold corrections in the Standard Model. Zbl 1331.81372Kniehl, Bernd A.; Pikelner, Andrey F.; Veretin, Oleg L. 5 2015 Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering. Zbl 1194.81266Kniehl, Bernd A.; Tarasov, Oleg V. 4 2009 Derivatives of any Horn-type hypergeometric functions with respect to their parameters. Zbl 1481.33012Bytev, Vladimir V.; Kniehl, Bernd A. 4 2020 Bilinear quark operators in the RI/SMOM scheme at three loops. Zbl 1435.81241Kniehl, Bernd A.; Veretin, Oleg L. 3 2020 Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions. Zbl 1284.81210Kniehl, Bernd A.; Kondrashuk, Igor; Notte-Cuello, Eduardo A.; Parra-Ferrada, Ivan; Rojas-Medar, Marko 3 2013 Moments \(n = 2\) and \(n = 3\) of the Wilson twist-two operators at three loops in the RI’/SMOM scheme. Zbl 1472.81273Kniehl, Bernd A.; Veretin, Oleg L. 3 2020 On the \(b\)-quark running mass in QCD and the SM. Zbl 1356.81211Bednyakov, A. V.; Kniehl, B. A.; Pikelner, A. F.; Veretin, O. L. 3 2017 Two-loop electroweak fermionic corrections to \(\sin^2\Theta_{eff}^{b\bar{b}}\). Zbl 1194.81287Awramik, M.; Czakon, M.; Freitas, A.; Kniehl, B. A. 2 2009 \(\mathcal O(G^2_Fm_t^4)\) two-loop electroweak correction to Higgs-Boson decay to bottom quarks. Zbl 1117.81375Butenschön, Mathias; Fugel, Frank; Kniehl, Bernd A. 2 2007 Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 1. Zbl 1375.81177Gonzalez, Ivan; Kniehl, Bernd A.; Kondrashuk, Igor; Notte-Cuello, Eduardo A.; Parra-Ferrada, Ivan; Rojas-Medar, Marko A. 1 2017 Corrigendum to “Two-loop electroweak threshold corrections to the bottom and top Yukawa couplings”. Zbl 1328.81257Kniehl, Bernd A.; Veretin, Oleg L. 1 2015 Electroweak corrections to \(Z\)-boson hadroproduction at finite transverse momentum. Zbl 1331.81406Hollik, W.; Kniehl, B. A.; Scherbakova, E. S.; Veretin, O. L. 1 2015 Fully double-logarithm-resummed cross sections. Zbl 1229.81337Albino, S.; Bolzoni, P.; Kniehl, B. A.; Kotikov, A. 1 2011 Dipole subtraction at next-to-leading order in nonrelativistic-QCD factorization. Zbl 1472.81269Butenschoen, Mathias; Kniehl, Bernd A. 1 2020 Bottom-flavored hadrons from top-quark decay at next-to-leading order in the general-mass variable-flavor-number scheme. Zbl 1246.81434Kniehl, Bernd A.; Kramer, Gustav; Moosavi Nejad, Seyed M. 1 2012 Hypergeometric functions and Feynman diagrams. Zbl 1489.33010Kalmykov, Mikhail; Bytev, Vladimir; Kniehl, Bernd A.; Moch, Sven-Olaf; Ward, Bennie F. L.; Yost, Scott A. 10 2021 Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in \(\mathcal{N} = 4\) SYM theory. Zbl 07408566Kniehl, B. A.; Velizhanin, V. N. 6 2021 Derivatives of any Horn-type hypergeometric functions with respect to their parameters. Zbl 1481.33012Bytev, Vladimir V.; Kniehl, Bernd A. 4 2020 Bilinear quark operators in the RI/SMOM scheme at three loops. Zbl 1435.81241Kniehl, Bernd A.; Veretin, Oleg L. 3 2020 Moments \(n = 2\) and \(n = 3\) of the Wilson twist-two operators at three loops in the RI’/SMOM scheme. Zbl 1472.81273Kniehl, Bernd A.; Veretin, Oleg L. 3 2020 Dipole subtraction at next-to-leading order in nonrelativistic-QCD factorization. Zbl 1472.81269Butenschoen, Mathias; Kniehl, Bernd A. 1 2020 Two-loop diagrams in nonrelativistic QCD with elliptics. Zbl 1435.81240Kniehl, B. A.; Kotikov, A. V.; Onishchenko, A. I.; Veretin, O. L. 9 2019 Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation. Zbl 1380.81423Kalmykov, Mikhail Yu.; Kniehl, Bernd A. 10 2017 On the \(b\)-quark running mass in QCD and the SM. Zbl 1356.81211Bednyakov, A. V.; Kniehl, B. A.; Pikelner, A. F.; Veretin, O. L. 3 2017 Explicit calculation of multi-fold contour integrals of certain ratios of Euler gamma functions. Part 1. Zbl 1375.81177Gonzalez, Ivan; Kniehl, Bernd A.; Kondrashuk, Igor; Notte-Cuello, Eduardo A.; Parra-Ferrada, Ivan; Rojas-Medar, Marko A. 1 2017 Master integrals for the four-loop Sudakov form factor. Zbl 1332.81126Boels, Rutger H.; Kniehl, Bernd A.; Yang, Gang 25 2016 HYPERDIRE – hypergeometric functions differential reduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function \(F_C\) of three variables. Zbl 1375.33002Bytev, Vladimir V.; Kniehl, Bernd A. 7 2016 HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables. Zbl 1344.33006Bytev, Vladimir V.; Kniehl, Bernd A. 8 2015 Two-loop electroweak threshold corrections in the Standard Model. Zbl 1331.81372Kniehl, Bernd A.; Pikelner, Andrey F.; Veretin, Oleg L. 5 2015 Corrigendum to “Two-loop electroweak threshold corrections to the bottom and top Yukawa couplings”. Zbl 1328.81257Kniehl, Bernd A.; Veretin, Oleg L. 1 2015 Electroweak corrections to \(Z\)-boson hadroproduction at finite transverse momentum. Zbl 1331.81406Hollik, W.; Kniehl, B. A.; Scherbakova, E. S.; Veretin, O. L. 1 2015 Color-kinematic duality for form factors. Zbl 1342.81551Boels, Rutger H.; Kniehl, Bernd A.; Tarasov, Oleg V.; Yang, Gang 49 2013 Solution to Bethe-Salpeter equation via Mellin-Barnes transform. Zbl 1262.81100Allendes, Pedro; Kniehl, Bernd A.; Kondrashuk, Igor; Notte-Cuello, Eduardo A.; Rojas-Medar, Marko 7 2013 On the difference between the pole and the \(\bar{\mathrm{MS}}\) masses of the top quark at the electroweak scale. Zbl 1311.81224Jegerlehner, Fred; Kalmykov, Mikhail Yu.; Kniehl, Bernd A. 5 2013 Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions. Zbl 1284.81210Kniehl, Bernd A.; Kondrashuk, Igor; Notte-Cuello, Eduardo A.; Parra-Ferrada, Ivan; Rojas-Medar, Marko 3 2013 Finding new relationships between hypergeometric functions by evaluating Feynman integrals. Zbl 1229.81100Kniehl, Bernd A.; Tarasov, Oleg V. 15 2012 Bottom-flavored hadrons from top-quark decay at next-to-leading order in the general-mass variable-flavor-number scheme. Zbl 1246.81434Kniehl, Bernd A.; Kramer, Gustav; Moosavi Nejad, Seyed M. 1 2012 Fully double-logarithm-resummed cross sections. Zbl 1229.81337Albino, S.; Bolzoni, P.; Kniehl, B. A.; Kotikov, A. 1 2011 Differential reduction of generalized hypergeometric functions from Feynman diagrams: one-variable case. Zbl 1206.81089Bytev, Vladimir V.; Kalmykov, Mikhail Yu.; Kniehl, Bernd A. 17 2010 Analytic result for the one-loop scalar pentagon integral with massless propagators. Zbl 1204.81075Kniehl, Bernd A.; Tarasov, Oleg V. 9 2010 Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters. Zbl 1192.81351Kalmykov, Mikhail Yu.; Kniehl, Bernd A. 20 2009 Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering. Zbl 1194.81266Kniehl, Bernd A.; Tarasov, Oleg V. 4 2009 Two-loop electroweak fermionic corrections to \(\sin^2\Theta_{eff}^{b\bar{b}}\). Zbl 1194.81287Awramik, M.; Czakon, M.; Freitas, A.; Kniehl, B. A. 2 2009 \(\mathcal O(G^2_Fm_t^4)\) two-loop electroweak correction to Higgs-Boson decay to bottom quarks. Zbl 1117.81375Butenschön, Mathias; Fugel, Frank; Kniehl, Bernd A. 2 2007 Two-loop sunset diagrams with three massive lines. Zbl 1109.81331Kniehl, B. A.; Kotikov, A. V.; Onishchenko, A. I.; Veretin, O. L. 18 2006 Field renormalization constant for unstable particles. Zbl 0991.81074Kniehl, Bernd A.; Sirlin, Alberto 7 2002 all cited Publications top 5 cited Publications all top 5 Cited by 260 Authors 14 Kniehl, Bernd A. 9 Yang, Gang 8 Duhr, Claude 7 Kondrashuk, Igor 7 Monteiro, Ricardo 7 Onishchenko, Andrei I. 7 Wilhelm, Matthias 6 Johansson, Henrik 6 O’connell, Donal 6 Veretin, Oleg L. 5 Boels, Rutger H. 5 Bork, Leonid V. 5 Weinzierl, Stefan 4 Bezrodnykh, Sergeĭ I. 4 González, Iván 4 Kotikov, Anatoly V. 3 Brandhuber, Andreas 3 Brown, Robert W. 3 Bytev, Vladimir V. 3 Dhani, Prasanna K. 3 Dittmaier, Stefan 3 Klemm, Albrecht 3 Mastrolia, Pierpaolo 3 Mogull, Gustav 3 Naculich, Stephen G. 3 Nandan, Dhritiman 3 Nega, Christoph 3 Nekrasov, M. L. 3 Notte-Cuello, Eduardo Alfonso 3 Parra-Ferrada, Ivan 3 Pikelner, Andrey F. 3 Schabinger, Robert M. 3 Sieg, Christoph 3 Smirnov, Vladimir A. 3 Tancredi, Lorenzo 3 Tarasov, Oleg V. 3 Travaglini, Gabriele 3 Velizhanin, V. N. 3 Von Manteuffel, Andreas 2 Abreu, Samuel 2 Banerjee, Pulak 2 Bezuglov, M. A. 2 Bianchi, Marco S. 2 Blümlein, Johannes 2 Bogner, Christian 2 Bönisch, Kilian 2 Brödel, Johannes 2 Brychkov, Yury A. 2 Del Duca, Vittorio 2 Faouzi, Tarik 2 Fischbach, Fabian 2 Freitas, Ayres 2 Gardi, Einan 2 Geyer, Yvonne 2 Huber, Tobias 2 Kalmykov, Mikhail Yu. 2 Klausen, René Pascal 2 Koster, Laura 2 Lee, Roman N. 2 Loebbert, Florian 2 Luna, Andrés 2 Mitev, Vladimir 2 Mizera, Sebastian 2 Moch, Sven-Olaf 2 Moriello, Francesco 2 Panzer, Erik 2 Penante, Brenda 2 Pogány, Tibor K. 2 Porcu, Emilio 2 Rakha, Medhat Ahmed 2 Rathie, Arjun Kumar 2 Ravindran, Varadarajan 2 Rojas-Medar, Marko Antonio 2 Rzehak, Heidi 2 Schneider, Carsten 2 Seth, Satyajit 2 Smirnov, Aleksandr Vladimirovich 2 Staudacher, Matthias 2 Steinhauser, Matthias 2 Teng, Fei 2 White, Chris D. 2 Zhang, Yang 2 Zhou, Yong 1 Ablat, Alim 1 Ablinger, Jakob 1 Ahmed, Taushif 1 Álvarez-García, Rafael 1 Ananthanarayan, Balasubramanian 1 Ancarani, Lorenzo Ugo 1 Anzai, C. 1 Argeri, Mario 1 Assi, Benoît 1 Banerjee, Aritra 1 Becchetti, Matteo 1 Bednyakov, A. V. 1 Ben-Shahar, Maor 1 Benhaddou, Kamel 1 Bentalha, Zine el abidine 1 Bera, Souvik 1 Bertucci, Francesco ...and 160 more Authors all top 5 Cited in 30 Serials 89 Journal of High Energy Physics 21 Nuclear Physics. B 7 Integral Transforms and Special Functions 5 Journal of Mathematical Physics 5 Physics Letters. B 4 Modern Physics Letters A 4 Theoretical and Mathematical Physics 2 International Journal of Modern Physics A 2 Physics Reports 2 Computational Mathematics and Mathematical Physics 2 Journal of Physics A: Mathematical and Theoretical 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Journal of Applied Probability 1 Journal of Number Theory 1 Kyungpook Mathematical Journal 1 Statistics & Probability Letters 1 Numerical Algorithms 1 Communications in Statistics. Theory and Methods 1 Annals of Mathematics and Artificial Intelligence 1 Mathematical Physics, Analysis and Geometry 1 Russian Physics Journal 1 Foundations of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Analysis and Mathematical Physics 1 Cogent Mathematics & Statistics all top 5 Cited in 29 Fields 140 Quantum theory (81-XX) 33 Special functions (33-XX) 24 Relativity and gravitational theory (83-XX) 10 Mechanics of particles and systems (70-XX) 6 Number theory (11-XX) 6 Algebraic geometry (14-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Partial differential equations (35-XX) 4 Integral transforms, operational calculus (44-XX) 4 Numerical analysis (65-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Algebraic topology (55-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Field theory and polynomials (12-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year