# ZEU-THEO

 2017-10-1610:41 [PUBDB-2017-11400] Preprint/Report et al The Three Loop Two-Mass Contribution to the Gluon Vacuum Polarization [DESY-17-157; DO-TH-17-26; arXiv:1710.04500]   We calculate the two-mass contribution to the 3-loop vacuum polarization of the gluon in Quantum Chromodynamics at virtuality $p^2 = 0$ for general masses and also present the analogous result for the photon in Quantum Electrodynamics.. OpenAccess: PDF PDF (PDFA); 2017-10-1214:17 [PUBDB-2017-11329] Book Jegerlehner, F. The anomalous magnetic moment of the muon; 2nd ed. Cham : Springer, Springer Tracts in Modern Physics, 274, 693 pp. (2017) [10.1007/978-3-319-63577-4]   Restricted: PDF PDF (PDFA); 2017-09-2714:49 [PUBDB-2017-11060] Preprint/Report et al The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge [BI-TP-2017-13; DESY-17-142; IPPP-17-68; arXiv:1709.07718]   We focus on a non-abelian gauge field coupled to a single (but general) representation of a family of Nf fermions. By using the same machinery that had allowed us to evaluate the sub-leading large-Nf term of the five-loop Beta function earlier, we here report on a confirmation of the all-Nf result that has in the meantime been published by another group. [...] OpenAccess: PDF PDF (PDFA); 2017-09-1910:04 [PUBDB-2017-10870] Report/Journal Article et al The two-loop electroweak bosonic corrections to $\sin^2\theta_{\textrm{eff}}^{\textrm{b}}$ [DESY-16-119; KW-16-002; arXiv:1607.08375] Physics letters / B 762, 184 - 189 (2016) [10.1016/j.physletb.2016.09.012]   The prediction of the effective electroweak mixing angle $\sin^2\theta_{\rm eff}^{\rm b}$ in the Standard Model at two-loop accuracy has now been completed by the first calculation of the bosonic two-loop corrections to the $Z{\bar b}b$ vertex. Numerical predictions are presented in the form of a fitting formula as function of $M_Z, M_W, M_H, m_t$ and $\Delta{\alpha}$, ${\alpha_{\rm s}}$. [...] OpenAccess: PDF PDF (PDFA); 2017-09-0510:48 [PUBDB-2017-10332] Preprint/Report et al $(g-2)_\mu$ at four loops in QED [arXiv:1708.07138; DESY-17-125; TTP17-035]   We review the four-loop QED corrections to the anomalous magnetic moment of the muon. The fermionic contributions with closed electron and tau contributions are discussed. [...] OpenAccess: PDF PDF (PDFA); 2017-08-0111:08 [PUBDB-2017-08782] Report/Journal Article et al Parton distribution functions, $\alpha_s$, and heavy-quark masses for LHC Run II [DESY-16-179, DO-TH-16-13, arXiv:1701.05838] Physical review / D 96(1), 014011 (2017) [10.1103/PhysRevD.96.014011]   We determine a new set of parton distribution functions (ABMP16), the strong coupling constant $\alpha_s$ and the quark masses $m_c$, $m_b$ and $m_t$ in a global fit to next-to-next-to-leading order (NNLO) in QCD. The analysis uses the $\overline{MS}$ scheme for $\alpha_s$ and all quark masses and is performed in the fixed-flavor number scheme for $n_f = 3, 4, 5$. [...] OpenAccess: PDF PDF (PDFA); 2017-07-1710:46 [PUBDB-2017-07732] Journal Article et al The three-loop splitting functions $P^{(2)}_{qg}$ and $P^{(2,N_F)}_{gg}$ Nuclear physics / B 922, 1-40 (2017) [10.1016/j.nuclphysb.2017.06.004]   We calculate the unpolarized twist-2 three-loop splitting functions $P^{(2)}_{qg} (x)$ and $P^{(2,N_F)}_{gg} (x)$ and the associated anomalous dimensions using massive three-loop operator matrix elements. While we calculate $P^{(2,N_F)}_{gg} (x)$ directly, $P^{(2)}_{qg} (x)$ is computed from 1200 even moments, without any structural prejudice, using a hierarchy of recurrences obtained for the corresponding operator matrix element. [...] Restricted: PDF PDF (PDFA); 2017-07-0314:52 [PUBDB-2017-06699] Report/Journal Article Kołodziej, K. Photon radiation in $e^+e^-\to$ hadrons at low energies with carlomat_3.1 [DESY-17-001; HU-EP-17-01; arXiv:1701.01837]   We present a sample of results for the cross sections of several processes of low energetic $e^+e^-$ annihilation into final states containing pions accompanied by one or two photons, or a light lepton pair. The results, which have been obtained with a new version of a multipurpose Monte Carlo program CARLOMAT, labelled 3.1, demonstrate new capabilities of the program which, among others, include a possibility of taking into account either the initial or final state radiation separately, or both at a time, and a possibility of inclusion of the electromagnetic charged pion form factor for processes with charged pion pairs. [...] OpenAccess: PDF PDF (PDFA); 2017-06-1913:43 [PUBDB-2017-05452] Report/Journal Article Vogt, A. On ${\gamma }_{5}$ in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution [DESY-15-061; NIKHEF-15-018; LTH-1042; arXiv:1506.04517] Physics letters / B 748, 432 - 438 (2015) [10.1016/j.physletb.2015.07.027]   We discuss the prescription for the Dirac matrix ${\gamma }_{5}$ in dimensional regularization used in most second- and third-order QCD calculations of collider cross sections. We provide an alternative implementation of this approach that avoids the use of an explicit form of ${\gamma }_{5}$ and of its (anti-) commutation relations in the most important case of no more than one ${\gamma }_{5}$ in each fermion trace. [...] OpenAccess: PDF PDF (PDFA); 2017-06-1414:42 [PUBDB-2017-04944] Report/Journal Article et al Asymptotic 3-loop heavy flavor corrections to the charged current structure functions $F^{W^{+}-W^{-}}_{L}(x,Q^{2})$ and $F^{W^{+}-W^{-}}_{2}(x,Q^{2})$ [DESY-16-148; DO-TH-16-15; arXiv:1609.06255] Physical review / D 94(11), 114006 (2017) [10.1103/PhysRevD.94.114006]   We calculate the massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure functions $F_L^{W^+}(x,Q^2)-F_L^{W^-}(x,Q^2)$ and $F_2^{W^+}(x,Q^2)-F_2^{W^-}(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics (QCD) at general values of the Mellin variable $N$ and the momentum fraction $x$. Besides the heavy quark pair production, also the single heavy flavor excitation $s \rightarrow c$ contributes. [...] OpenAccess: PDF PDF (PDFA);