1.

Threeloop effective potential of general scalar theory via differential equations
/ Kniehl, Bernd A. ; Pikelner, Andrey F. ; Veretin, Oleg L.
We consider the scalar sector of a general renormalizable theory and evaluate the effective potential through three loops analytically. [...]
Published in Nuclear Physics B 937 (2018) 533549
10.1016/j.nuclphysb.2018.10.017
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2.

Breakdown of Nonrelativistic QCD Factorization in Processes Involving Two Quarkonia and its Cure
/ He, ZhiGuo ; Kniehl, Bernd A. ; Wang, XiangPeng
We study inclusive processes involving two heavy quarkonia in nonrelativistic QCD (NRQCD) and demonstrate that, in the presence of two $P$wave Fock states, NRQCD factorization breaks down, leaving uncanceled infrared singularities. [...]
Published in Physical Review Letters 121 (2018)
10.1103/PhysRevLett.121.172001
arXiv:1809.07993
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3.

Prompt neutrinos from atmospheric charm in the generalmass variableflavornumber scheme
/ Benzke, M. ; Garzelli, M. ; Kniehl, B. ; Kramer, G. ; et al
We present predictions for the promptneutrino flux arising from the decay of charmed mesons and baryons produced by the interactions of highenergy cosmic rays in the Earth’s atmosphere, making use of a QCD approach on the basis of the generalmass variableflavornumber scheme for the description of charm hadroproduction at NLO, complemented by a consistent set of fragmentation functions. [...]
Published in JHEP 1712 (2017) 021
10.1007/JHEP12(2017)021
arXiv:1705.10386
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4.

Explicit calculation of multifold contour integrals of certain ratios of Euler gamma functions. Part 1
/ Gonzalez, Ivan ; Kniehl, Bernd A. ; Kondrashuk, Igor ; NotteCuello, Eduardo A. ; et al
In this paper, we proceed to study properties of Mellin–Barnes (MB) transforms of Usyukina–Davydychev (UD) functions. [...]
Published in Nuclear Physics B (2017)
10.1016/j.nuclphysb.2017.06.027
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5.

Threeloop massive tadpoles and polylogarithms through weight six
/ Kniehl, B. ; Pikelner, A. ; Veretin, O.
We evaluate the threeloop massive vacuum bubble diagrams in terms of polylogarithms up to weight six. [...]
Published in JHEP 1708 (2017) 024
10.1007/JHEP08(2017)024
arXiv:1705.05136
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6.

Counting the number of master integrals for sunrise diagrams via the MellinBarnes representation
/ Kalmykov, Mikhail ; Kniehl, Bernd
A number of irreducible master integrals for L loop sunrise and bubble Feynman diagrams with generic values of masses and external momenta are explicitly evaluated via the MellinBarnes representation..
Published in JHEP 1707 (2017) 031
10.1007/JHEP07(2017)031
arXiv:1612.06637
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7.

On the b quark running mass in QCD and the SM
/ Bednyakov, A.V. ; Kniehl, B.A. ; Pikelner, A.F. ; Veretin, O.L.
We consider electroweak corrections to the relation between the running MS‾ mass mb of the b quark in the fiveflavor QCD×QED effective theory and its counterpart in the Standard Model (SM). [...]
Published in Nuclear Physics B (2017)
10.1016/j.nuclphysb.2017.01.004
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8.

Master integrals for the fourloop Sudakov form factor
/ Boels, Rutger H. ; Kniehl, Bernd A. ; Yang, Gang
The lightlike cusp anomalous dimension is a universal function in the analysis of infrared divergences. [...]
Published in Nuclear Physics B (2015)
10.1016/j.nuclphysb.2015.11.016
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9.

Electroweak corrections to Z boson hadroproduction at finite transverse momentum
/ Hollik, W. ; Kniehl, B.A. ; Scherbakova, E.S. ; Veretin, O.L.
We calculate the full oneloop electroweak radiative corrections, of O(α2αs) , to the cross section of single Z boson inclusive hadroproduction at finite transverse momentum ( pT ). [...]
Published in Nuclear Physics B (2015)
10.1016/j.nuclphysb.2015.09.018
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10.

Twoloop electroweak threshold corrections in the Standard Model
/ Kniehl, Bernd A. ; Pikelner, Andrey F. ; Veretin, Oleg L.
We study the relationships between the basic parameters of the onshell renormalization scheme and their counterparts in the MS¯ scheme at full order O(α2) in the Standard Model. [...]
Published in Nuclear Physics B 896 (2015) 1951
10.1016/j.nuclphysb.2015.04.010
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