Franz Herzog

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All published works

Action	Title	Year	Authors
+ PDF Chat	OPITeR: A program for tensor reduction of multi-loop Feynman Integrals	2024	Jae Goode Franz Herzog Sam Teale
+ PDF Chat	Four-loop splitting functions in QCD -- The gluon-gluon case --	2024	G. Falcioni Franz Herzog S. Moch Andrea Pelloni A. Vogt
+ PDF Chat	Constraints for twist-two alien operators in QCD	2024	G. Falcioni Franz Herzog S. Moch S. Van Thurenhout
+ PDF Chat	The asymptotic Hopf Algebra of Feynman Integrals	2024	Mrigankamauli Chakraborty Franz Herzog
+ PDF Chat	Tensor Reduction for Feynman Integrals with Lorentz and Spinor Indices	2024	Jae Goode Franz Herzog A.D. Kennedy Sam Teale J.A.M. Vermaseren
+ PDF Chat	Splitting amplitudes at N$^3$LO in QCD	2024	Xin Guan Franz Herzog Yao Ma Bernhard Mistlberger Adi Suresh
+	Four-loop splitting functions in QCD – The quark-to-gluon case	2024	Giulio Falcioni Franz Herzog S. Moch Andrea Pelloni A. Vogt
+ PDF Chat	Four-loop splitting functions in QCD -- The quark-to-gluon case	2024	G. Falcioni Franz Herzog S. Moch Andrea Pelloni A. Vogt
+	The double fermionic contribution to the four-loop quark-to-gluon splitting function	2023	G. Falcioni Franz Herzog S. Moch J.A.M. Vermaseren A. Vogt
+ PDF Chat	The on-shell expansion: from Landau equations to the Newton polytope	2023	Einan Gardi Franz Herzog Stephen E. Jones Yao Ma Johannes Schlenk
+	Four-loop splitting functions in QCD – The quark-quark case	2023	Giulio Falcioni Franz Herzog S. Moch A. Vogt
+ PDF Chat	Four-loop large-nf contributions to the non-singlet structure functions F2 and FL	2023	Avanish Basdew-Sharma Andrea Pelloni Franz Herzog A. Vogt
+	Non-linear non-renormalization theorems	2023	Weiguang Cao Franz Herzog Tom Melia Jasper Roosmale Nepveu
+	Four-loop splitting functions in QCD -- The gluon-to-quark case	2023	G. Falcioni Franz Herzog S. Moch A. Vogt
+	Single-soft emissions for amplitudes with two colored particles at three loops	2023	Franz Herzog Yao Ma Bernhard Mistlberger Adi Suresh
+	The double fermionic contribution to the four-loop quark-to-gluon splitting function	2023	G. Falcioni Franz Herzog S. Moch J.A.M. Vermaseren A. Vogt
+ PDF Chat	Renormalization of gluonic leading-twist operators in covariant gauges	2022	Giulio Falcioni Franz Herzog
+	The on-shell expansion: from Landau equations to the Newton polytope	2022	Einan Gardi Franz Herzog Stephen E. Jones Yao Ma Johannes Schlenk
+	Four-loop large-n_f contributions to the non-singlet structure functions F_2 and F_L	2022	A. Basdew-Sharma Andrea Pelloni Franz Herzog A. Vogt
+ PDF Chat	Renormalization and non-renormalization of scalar EFTs at higher orders	2021	Weiguang Cao Franz Herzog Tom Melia Jasper Roosmale Nepveu
+	Renormalization and non-renormalization of scalar EFTs at higher orders	2021	Weiguang Cao Franz Herzog Tom Melia Jasper Roosmale Nepveu
+ PDF Chat	One-loop jet functions by geometric subtraction	2020	Avanish Basdew-Sharma Franz Herzog Solange Schrijnder van Velzen Wouter J. Waalewijn
+ PDF Chat	Two- and three-loop anomalous dimensions of Weinberg’s dimension-six<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>-odd gluonic operator	2020	Jordy de Vries Giulio Falcioni Franz Herzog Ben Ruijl
+ PDF Chat	The Hopf algebra structure of the R∗-operation	2020	Robert Beekveldt Michael Borinsky Franz Herzog
+	Five-loop contributions to low-N non-singlet anomalous dimensions in QCD	2019	Franz Herzog S. Moch Ben Ruijl Takahiro Ueda J.A.M. Vermaseren A. Vogt
+	Anomalous dimensions and splitting functions beyond the next-to-next-to-leading order	2018	A. Vogt Franz Herzog S. Moch Ben Ruijl Takahiro Ueda J.A.M. Vermaseren
+ PDF Chat	Geometric IR subtraction for final state real radiation	2018	Franz Herzog
+	The R ∗ -operation and five-loop calculations	2018	Ben Ruijl Franz Herzog Takahiro Ueda J.A.M. Vermaseren A. Vogt
+	The method of global R* and its applications	2018	Giulio Falcioni K.G. Chetyrkin Franz Herzog J.A.M. Vermaseren
+	The method of global R* and its applications	2018	K.G. Chetyrkin Giulio Falcioni Franz Herzog J. A. M. Vermaseren
+	R*-operation and five-loop calculations	2018	Ben Ruijl Franz Herzog Takahiro Ueda J.A.M. Vermaseren A. Vogt
+	Anomalous dimensions and splitting functions beyond the next-to-next-to-leading order	2018	A. Vogt Franz Herzog S. Moch Ben Ruijl Takahiro Ueda J. A. M. Vermaseren
+	Zimmermann's forest formula, infrared divergences and the QCD beta function	2017	Franz Herzog
+	Five-loop renormalisation of QCD in covariant gauges	2017	K.G. Chetyrkin Giulio Falcioni Franz Herzog J. A. M. Vermaseren
+ PDF Chat	On Higgs decays to hadrons and the R-ratio at N4LO	2017	Franz Herzog Ben Ruijl Takahiro Ueda J.A.M. Vermaseren A. Vogt
+ PDF Chat	The R *-operation for Feynman graphs with generic numerators	2017	Franz Herzog Ben Ruijl
+ PDF Chat	The five-loop beta function of Yang-Mills theory with fermions	2017	Franz Herzog Ben Ruijl Takahiro Ueda J.A.M. Vermaseren A. Vogt
+	Handbook of LHC Higgs Cross Sections: 4. Deciphering the Nature of the Higgs Sector	2016	Daniel de Florian Christophe Grojean Fabio Maltoni C. Mariotti A. Nikitenko M. Pieri P. Savard M. Schumacher R. Tanaka R. Aggleton
+	Form, diagrams and topologies	2016	J.A.M. Vermaseren Franz Herzog Ben Ruijl Takahiro Ueda A. Vogt
+ PDF Chat	CP-even scalar boson production via gluon fusion at the LHC	2016	Charalampos Anastasiou Claude Duhr Falko Dulat Elisabetta Furlan T. Gehrmann Franz Herzog Achilleas Lazopoulos Bernhard Mistlberger
+	FORM, Diagrams and Topologies	2016	Franz Herzog Ben Ruijl Takahiro Ueda J. A. M. Vermaseren A. Vogt
+	High precision determination of the gluon fusion Higgs boson cross-section at the LHC	2016	Charalampos Anastasiou Claude Duhr Falko Dulat Elisabetta Furlan T. Gehrmann Franz Herzog Achilleas Lazopoulos Bernhard Mistlberger
+	FORM, Diagrams and Topologies	2016	Franz Herzog Ben Ruijl Takahiro Ueda J. A. M. Vermaseren A. Vogt
+	High precision determination of the gluon fusion Higgs boson cross-section at the LHC	2016	Charalampos Anastasiou Claude Duhr Falko Dulat Elisabetta Furlan T. Gehrmann Franz Herzog Achilleas Lazopoulos Bernhard Mistlberger
+ PDF Chat	Soft expansion of double-real-virtual corrections to Higgs production at N3LO	2015	Charalampos Anastasiou Claude Duhr Falko Dulat Elisabetta Furlan Franz Herzog Bernhard Mistlberger
+ PDF Chat	Higgs Boson Gluon-Fusion Production in QCD at Three Loops	2015	Charalampos Anastasiou Claude Duhr Falko Dulat Franz Herzog Bernhard Mistlberger
+	Higgs boson gluon–fusion production at threshold in N 3 LO QCD	2014	Charalampos Anastasiou Claude Duhr Falko Dulat Elisabetta Furlan T. Gehrmann Franz Herzog Bernhard Mistlberger
+	The Soft-Virtual Higgs Cross-section at N3LO and the Convergence of the Threshold Expansion	2014	Franz Herzog Bernhard Mistlberger
+	The Soft-Virtual Higgs Cross-section at N3LO and the Convergence of the Threshold Expansion	2014	Franz Herzog Bernhard Mistlberger
+	Higgs boson gluon-fusion production beyond threshold in N3LO QCD	2014	Charalampos Anastasiou Claude Duhr Falko Dulat Elisabetta Furlan T. Gehrmann Franz Herzog Bernhard Mistlberger
+ PDF Chat	Real-virtual contributions to the inclusive Higgs cross-section at N3LO	2013	Charalampos Anastasiou Claude Duhr Falko Dulat Franz Herzog Bernhard Mistlberger
+ PDF Chat	NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization	2012	Charalampos Anastasiou Stephan Buehler Claude Duhr Franz Herzog
+ PDF Chat	The fully differential hadronic production of a Higgs boson through bottom-quark fusion at NNLO	2012	Stephan Buehler Franz Herzog Achilleas Lazopoulos Romain Mueller
+ PDF Chat	Inclusive Higgs boson cross-section for the LHC at 8 TeV	2012	Charalampos Anastasiou Stephan Buehler Franz Herzog Achilleas Lazopoulos
+ PDF Chat	The fully differential decay rate of a Higgs boson to bottom-quarks at NNLO in QCD	2012	Charalampos Anastasiou Franz Herzog Achilleas Lazopoulos
+	Disentangling singularities with non-linear mappings - a new method for NNLO	2012	Franz Herzog
+ PDF Chat	Total cross-section for Higgs boson hadroproduction with anomalous Standard-Model interactions	2011	Charalampos Anastasiou Stephan Buehler Franz Herzog Achilleas Lazopoulos
+ PDF Chat	Higgs production cross-section in a Standard Model with four generations at the LHC	2011	Charalampos Anastasiou Stephan Buehler Elisabetta Furlan Franz Herzog Achilleas Lazopoulos
+ PDF Chat	On the factorization of overlapping singularities at NNLO	2011	Charalampos Anastasiou Franz Herzog Achilleas Lazopoulos
+	THE PROCESS E+ E- $\to$ Q ANTI-Q GAMMA AND THE ELECTRIC CHARGE OF COLORED QUARKS	1984	Jean-René Cudell F. Halzen Franz Herzog

Common Coauthors

Coauthor	Papers Together
A. Vogt	17
Charalampos Anastasiou	15
Bernhard Mistlberger	13
Ben Ruijl	12
J.A.M. Vermaseren	11
Takahiro Ueda	10
Achilleas Lazopoulos	10
Claude Duhr	10
Falko Dulat	9
Elisabetta Furlan	8
Giulio Falcioni	7
T. Gehrmann	6
G. Falcioni	6
S. Moch	5
S. Moch	5
Stephan Buehler	5
J. A. M. Vermaseren	5
Andrea Pelloni	5
K.G. Chetyrkin	3
Tom Melia	3
Yao Ma	3
Weiguang Cao	3
Jasper Roosmale Nepveu	3
Avanish Basdew-Sharma	2
Johannes Schlenk	2
Jae Goode	2
Sam Teale	2
Stephen E. Jones	2
Einan Gardi	2
S. Moch	2
A. Vogt	2
Adi Suresh	2
Juan Rojo	1
Christophe Grojean	1
Julien Baglio	1
Francesco Tramontano	1
P. Savard	1
Claudius Krause	1
A. Basdew-Sharma	1
Gavin P. Salam	1
C. Becot	1
C. P. Hays	1
Tyler Corbett	1
D. I. Kazakov	1
Ben D. Pecjak	1
Stefan Kallweit	1
A. L. Moreira De Carvalho	1
D. Tommasini	1
E. Franco	1
S. Dawson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Five-Loop Running of the QCD Coupling Constant	2017	P.A. Baikov K.G. Chetyrkin J.H. Kühn	16
+ PDF Chat	The R *-operation for Feynman graphs with generic numerators	2017	Franz Herzog Ben Ruijl	16
+ PDF Chat	The five-loop beta function of Yang-Mills theory with fermions	2017	Franz Herzog Ben Ruijl Takahiro Ueda J.A.M. Vermaseren A. Vogt	14
+ PDF Chat	FORM version 4.0	2013	J. Kuipers Takahiro Ueda J. A. M. Vermaseren J. Vollinga	14
+ PDF Chat	Forcer, a Form program for the parametric reduction of four-loop massless propagator diagrams	2020	Ben Ruijl Takahiro Ueda J.A.M. Vermaseren	14
+	Combinatorics of $\mathbf{R}$-, $\mathbf{R^{-1}}$-, and $\mathbf{R^*}$-operations and asymptotic expansions of feynman integrals in the limit of large momenta and masses	2017	K.G. Chetyrkin	12
+	Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams	2017	Ben Ruijl Takahiro Ueda J. A. M. Vermaseren	12
+ PDF Chat	GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS	1999	Timo van Ritbergen A.N. Schellekens J. A. M. Vermaseren	11
+ PDF Chat	Higgs boson production at hadron colliders in NNLO QCD	2002	Charalampos Anastasiou Kirill Melnikov	10
+	Absence of π2 terms in physical anomalous dimensions in DIS: Verification and resulting predictions	2017	Joshua Davies A. Vogt	10
+	Five-loop renormalisation of QCD in covariant gauges	2017	K.G. Chetyrkin Giulio Falcioni Franz Herzog J. A. M. Vermaseren	9
+ PDF Chat	The four-loop QCD β-function and anomalous dimensions	2005	M. Czakon	9
+ PDF Chat	Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders	2002	Robert Harlander William B. Kilgore	9
+ PDF Chat	The three-loop splitting functions in QCD: the singlet case	2004	A. Vogt S. Moch J.A.M. Vermaseren	9
+	New features of FORM	2000	J.A.M. Vermaseren	8
+ PDF Chat	The three-loop splitting functions in QCD: the non-singlet case	2004	S. Moch J.A.M. Vermaseren A. Vogt	8
+ PDF Chat	The four-loop β-function in quantum chromodynamics	1997	Timo van Ritbergen J.A.M. Vermaseren S.A. Larin	8
+	Absence of even-integer ζ-function values in Euclidean physical quantities in QCD	2018	Matthias Jamin Ramon Miravitllas	8
+ PDF Chat	On Higgs decays to hadrons and the R-ratio at N4LO	2017	Franz Herzog Ben Ruijl Takahiro Ueda J.A.M. Vermaseren A. Vogt	8
+	Large-n contributions to the four-loop splitting functions in QCD	2016	Joshua Davies A. Vogt Ben Ruijl Takahiro Ueda J.A.M. Vermaseren	8
+ PDF Chat	The three-loop QCD β-function and anomalous dimensions	1993	S.A. Larin J.A.M. Vermaseren	8
+ PDF Chat	Four-loop non-singlet splitting functions in the planar limit and beyond	2017	S. Moch Ben Ruijl Takahiro Ueda J.A.M. Vermaseren A. Vogt	8
+	Method of calculating renormalization-group functions in the scheme of dimensional regularization	1980	Alexey Vladimirov	7
+ PDF Chat	NNLO corrections to the total cross section for Higgs boson production in hadron–hadron collisions	2003	V. Ravindran J. Smith W.L. van Neerven	7
+ PDF Chat	Four loop massless propagators: An algebraic evaluation of all master integrals	2010	P.A. Baikov K.G. Chetyrkin	7
+ PDF Chat	HARMONIC POLYLOGARITHMS	2000	E. Remiddi J. A. M. Vermaseren	7
+ PDF Chat	Complete<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>α</mml:mi><mml:mi>s</mml:mi><mml:mn>4</mml:mn></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:math>QCD Corrections to Hadronic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi></mml:math>Decays	2012	P.A. Baikov K.G. Chetyrkin J.H. Kühn J. Rittinger	7
+	R* operation in the minimal subtraction scheme	1985	Vladimir A. Smirnov K.G. Chetyrkin	7
+ PDF Chat	Higgs boson production at the LHC	1995	M. Spira A. Djouadi Dirk Graudenz R.M. Zerwas	7
+ PDF Chat	Higgs Boson Gluon-Fusion Production in QCD at Three Loops	2015	Charalampos Anastasiou Claude Duhr Falko Dulat Franz Herzog Bernhard Mistlberger	7
+ PDF Chat	Scalar Correlator at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>α</mml:mi><mml:mi>s</mml:mi><mml:mn>4</mml:mn></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:math>, Higgs Boson Decay into Bottom Quarks, and Bounds on the Light-Quark Masses	2006	P.A. Baikov K.G. Chetyrkin J.H. Kühn	6
+ PDF Chat	Third-order QCD corrections to the charged-current structure function	2009	S. Moch J.A.M. Vermaseren A. Vogt	6
+ PDF Chat	Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators	2017	P.A. Baikov K.G. Chetyrkin J.H. Kühn	6
+	General theory of renormalization of gauge invariant operators	1976	Satish D. Joglekar Benjamin W. Lee	6
+ PDF Chat	Four-loop QCD propagators and vertices with one vanishing external momentum	2017	Ben Ruijl Takahiro Ueda J. A. M. Vermaseren A. Vogt	6
+ PDF Chat	Automatic Integral Reduction for Higher Order Perturbative Calculations	2004	Charalampos Anastasiou Achilleas Lazopoulos	6
+ PDF Chat	The strong coupling and its running to four loops in a minimal MOM scheme	2009	Lorenz von Smekal Kim Maltman André Sternbeck	6
+ PDF Chat	Calculation of the quark and gluon form factors to three loops in QCD	2010	T. Gehrmann E. W. N. Glover Tobias Huber N. Ikizlerli C. Studerus	6
+ PDF Chat	The third-order QCD corrections to deep-inelastic scattering by photon exchange	2005	J. A. M. Vermaseren A. Vogt S. Moch	6
+	Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC	2012	G. Aad T. Abajyan B. Abbott J. Abdallah S. Abdel Khalek A. A. Abdelalim O. Abdinov R. Aben B. Abi M. Abolins	6
+ PDF Chat	NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization	2012	Charalampos Anastasiou Stephan Buehler Claude Duhr Franz Herzog	6
+ PDF Chat	High-precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at next-to-next-to leading order	2004	Charalampos Anastasiou Lance J. Dixon Kirill Melnikov Frank Petriello	6
+ PDF Chat	Soft triple-real radiation for Higgs production at N3LO	2013	Charalampos Anastasiou Claude Duhr Falko Dulat Bernhard Mistlberger	6
+	Quark and Gluon Form Factors to Three Loops	2009	P.A. Baikov K.G. Chetyrkin Alexander V. Smirnov Vladimir A. Smirnov Matthias Steinhauser	6
+	Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC	2012	S. Chatrchyan V. Khachatryan A. M. Sirunyan A. Tumasyan W. Adam E. Aguiló T. Bergauer M. Dragicevic J. Erö C. Fabjan	6
+ PDF Chat	Parton distributions for the LHC	2009	A. D. Martin W. J. Stirling R. S. Thorne G. Watt	6
+	Five-loop contributions to low-N non-singlet anomalous dimensions in QCD	2019	Franz Herzog S. Moch Ben Ruijl Takahiro Ueda J.A.M. Vermaseren A. Vogt	6
+	Six loop analytical calculation of the field anomalous dimension and the critical exponent η in O ( n )-symmetric φ 4 model	2016	Dmitrii Batkovich K.G. Chetyrkin M. V. Kompaniets	6
+ PDF Chat	Differential equations for two-loop four-point functions	2000	T. Gehrmann E. Remiddi	6
+	First Forcer results on deep-inelastic scattering and related quantities	2016	Ben Ruijl Takahiro Ueda J. A. M. Vermaseren Joshua Davies A. Vogt	6