# ZEU-THEO

 2019-06-2013:20 [PUBDB-2019-02521] Preprint/Report et al Chapter B: Theory status of Z-boson physics [DESY-18-122]   OpenAccess: PDF PDF (PDFA); 2019-06-1810:35 [PUBDB-2019-02490] Preprint/Report et al Three loop heavy quark form factors and their asymptotic behavior [DESY-19-096, DO-TH 19/09, SAGEX-2019-13]   A summary of the calculation of the color-planar and complete light quark contributions to the massive three-loop form factors is presented. Here a novel calculation method for the Feynman integrals is used, solving general uni-variate first order factorizable systems of differential equations. [...] OpenAccess: PDF PDF (PDFA); 2019-06-1714:58 [PUBDB-2019-02485] Journal Article et al Numerical implementation of harmonic polylogarithms to weight w = 8 Computer physics communications 240, 189 - 201 (2019) [10.1016/j.cpc.2019.02.005]   We present the FORTRAN-code HPOLY.f for the numerical calculation of harmonic polylogarithms up to w = 8 at an absolute accuracy of $\sim 10^{-15}$ or better. Using algebraic and argument relations the numerical representation can be limited to the range $x \epsilon [0,\sqrt{2} - {1}]$ . [...] Fulltext: PDF PDF (PDFA); 2019-06-1714:51 [PUBDB-2019-02484] Journal Article et al The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering Nuclear physics 945, 114659 (2019) [10.1209/0295-5075/126/36002]   We calculate the massive two–loop pure singlet Wilson coefficients for heavy quark production in the unpolarized case analytically in the whole kinematic region and derive the threshold and asymptotic expansions. We also recalculate the corresponding massless two–loop Wilson coefficients. [...] OpenAccess: PDF PDF (PDFA); 2019-05-1414:08 [PUBDB-2019-02271] Report/Journal Article et al Finite quark-mass effects in Higgs boson production with dijets at large energies [arXiv:1812.08072; DESY-18-217; DCPT/18/204; IPPP/18/102; MCnet-18-33] Journal of high energy physics 1904(04), 127 (2019) [10.1007/JHEP04(2019)127]   The production of a Higgs boson in association with at least two jets receives contributions both from the fusion of weak vector bosons (VBF) and from QCD processes, especially gluon fusion (GF). The former process is important for measuring the coupling of the Higgs boson to weak bosons, whereas the latter process plays an important role in determining any CP-admixtures in the Higgs sector [...] OpenAccess: PDF PDF (PDFA); 2019-05-1314:27 [PUBDB-2019-02238] Preprint/Report et al Three loop QCD corrections to heavy quark form factors [DESY-19-078; DO-TH 19/06; arXiv:1905.03728]   Higher order calculations in perturbative Quantum Field Theories often produce coupled linear systems of differential equations which factorize to first order. Here we present an algorithm to solve such systems in terms of iterated integrals over an alphabet the structure of which is implied by the coefficient matrix of the given system. [...] OpenAccess: PDF PDF (PDFA); 2019-05-0816:48 [PUBDB-2019-02222] Book Paule, P. Elliptic integrals, elliptic functions and modular forms in quantum field theory KMPB Conference : Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, ZeuthenZeuthen, Germany, 23 Oct 2017 - 26 Oct 2017Contributions / Info Cham : Springer, Texts & monographs in symbolic computation 509 pages (2019) [10.1007/978-3-030-04480-0]   This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations.. External link: Conference website HH   Konf. 2017 Zeuthen 1 available ZEU   Konf. 2017 Zeuthen 1 available 2019-05-0716:57 [PUBDB-2019-02177] Preprint/Report Blümlein, J. Large scale analytic calculations in quantum field theories [DESY-18-216; DO-TH 18/28; arXiv:1905.02148]   We present a survey on the mathematical structure of zero- and single scale quantities and the associated calculation methods and function spaces in higher order perturbative calculations in relativistic renormalizable quantum field theories.. OpenAccess: PDF PDF (PDFA); 2019-04-0110:15 [PUBDB-2019-01787] Preprint/Report et al The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering [arXiv:1903.06155; DESY-19-038; DO-TH-18/25]   We calculate the massive two--loop pure singlet Wilson coefficients for heavy quark production in the unpolarized case analytically in the whole kinematic region and derive the threshold and asymptotic expansions. We also recalculate the corresponding massless two--loop Wilson coefficients. [...] OpenAccess: PDF PDF (PDFA); 2019-03-1811:32 [PUBDB-2019-01570] Report/Journal Article Riemann, T. Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension d [DESY-17-079; HCMUS-19-01; KW-18-004; arXiv:1812.10975] Physics letters / B 791, 257 - 264 (2019) [10.1016/j.physletb.2019.02.044]   The long-standing problem of representing the general massive one-loop Feynman integral as a meromorphic function of the space-time dimension d has been solved for the basis of scalar one- to four-point functions with indices one. In 2003 the solution of difference equations in the space-time dimension allowed to determine the necessary classes of special functions: self-energies need ordinary logarithms and Gauss hypergeometric functions $_{2}F_1$, vertices need additionally Kampé de Fériet-Appell functions $F_1$, and box integrals also Lauricella-Saran functions $F_S$. [...] OpenAccess: PDF PDF (PDFA);