# ZEU-THEO

 2018-11-1214:39 [PUBDB-2018-04425] Journal Article/Report/Contribution to a conference proceedings et al The $\rho$ parameter at three loops and elliptic integrals [DESY-18-117; DO-TH-18-15; arXiv:1807.05287] Loops and Legs in Quantum Field Theory, St. GoarSt. Goar, Germany, 29 Apr 2018 - 4 May 2018   We describe the analytic calculation of the master integrals required to compute the two-mass three-loop corrections to the $\rho$ parameter. In particular, we present the calculation of the master integrals for which the corresponding differential equations do not factorize to first order. [...] Restricted: PDF PDF (PDFA); 2018-11-1211:14 [PUBDB-2018-04386] Report/Contribution to a conference proceedings/Contribution to a book et al Two-mass three-loop effects in deep-inelastic scattering [DESY 18-119, DO-TH 18/16] Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018) - Sissa Medialab Trieste, Italy, 2018. - ISBN - doi:10.22323/1.303.0051Loops and Legs in Quantum Field Theory, LL 2018, St. GoarSt. Goar, Germany, 29 Apr 2018 - 4 May 2018 Trieste, Italy : Sissa Medialab 051 pp. (2018) [10.22323/1.303.0051]   Restricted: PDF PDF (PDFA); 2018-11-1211:08 [PUBDB-2018-04383] Report/Contribution to a conference proceedings/Contribution to a book et al Massive three loop form factor in the planar limit [DESY 18–118, DO–TH 18/14] Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018) - Sissa Medialab Trieste, Italy, 2018. - ISBN - doi:10.22323/1.303.0009Loops and Legs in Quantum Field Theory, LL2018, St. GoarSt. Goar, Germany, 29 Apr 2018 - 4 May 2018 Trieste, Italy : Sissa Medialab 009 pp. (2018) [10.22323/1.303.0009]   Restricted: PDF PDF (PDFA); 2018-11-1210:58 [PUBDB-2018-04382] Journal Article Jegerlehner, F. Muon g – 2 theory: The hadronic part Restricted: PDF PDF (PDFA); 2018-11-1210:54 [PUBDB-2018-04380] Report/Journal Article Jegerlehner, F. The Muon $g-2$ in Progress [arXiv:1804.07313] Restricted: PDF PDF (PDFA); 2018-11-0509:32 [PUBDB-2018-04138] Preprint/Report et al Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable [DESY-18-053; DO-TH-18-09; TIF-UNIMI-2018-8; arXiv:1810.12261]   We present an algorithm which allows to solve analytically linear systems of differential equations which factorize to first order. The solution is given in terms of iterated integrals over an alphabet where its structure is implied by the coefficient matrix of the differential equations. [...] OpenAccess: PDF PDF (PDFA); 2018-10-2911:06 [PUBDB-2018-03991] Report/Journal Article et al Critical behavior of the $\mathrm{QED_3}$-Gross-Neveu-Yukawa model at four loops [DESY-18-107; HU-EP-18-20; arXiv:1808.00549] We study the universal critical properties of the QED$_3$-Gross-Neveu-Yukawa model with N flavors of four-component Dirac fermions coupled to a real scalar order parameter at four-loop order in the ε expansion below four dimensions. For $N=1$, the model is conjectured to be infrared dual to the SU$(2)$-symmetric noncompact $\mathbb{C}P^1$ model, which describes the deconfined quantum critical point of the Néel-valence-bond-solid transition of spin-1/2 quantum antiferromagnets on the two-dimensional square lattice. [...] OpenAccess: PDF PDF (PDFA); 2018-10-2909:02 [PUBDB-2018-03984] Preprint/Report Rana, N. The asymptotic behavior of the heavy quark form factors at higher order [DESY-18-163; DO-TH-18-24; TIF-UNIMI-2018-7; arXiv:1810.08943]   In the asymptotic limit $Q^2 \gg m^2$, the heavy quark form factors exhibit Sudakov behavior. We study the corresponding renormalization group equations of the heavy quark form factors which do not only govern the structure of infrared divergences, but also control the high energy logarithms. [...] OpenAccess: PDF PDF (PDFA); 2018-10-1513:31 [PUBDB-2018-03793] Preprint/Report Riemann, T. MBnumerics: Numerical integration of Mellin-Barnes integrals in physical regions [DESY-18-121; KW-18-008; arXiv:1810.04580]   We introduce techniques to treat numerically Mellin-Barnes integrals in physical regions, which arise in the need of the computation of Feynman integrals for the electroweak two-loop corrections to the pseudo observables at the Z-boson resonance.. OpenAccess: PDF PDF (PDFA); 2018-10-0112:13 [PUBDB-2018-03683] Preprint/Report Jegerlehner, F. The Role of Mesons in Muon $g-2$ [arXiv:1809.07413; DESY-18-152; HU-EP-18-27]   The muon anomaly $a_\mu=(g_\mu-2)/2$ showing a persisting 3 to 4 $\sigma$ deviation between the SM prediction and the experiment is one of the most promising signals for physics beyond the SM. As is well known, the hadronic uncertainties are limiting the accuracy of the Standard Model prediction. [...] OpenAccess: PDF PDF (PDFA);