ZEU-THEO

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2017-10-16
10:41
OpenAccess [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]
 GO
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..
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2017-10-12
14:17
[PUBDB-2017-11329] Book

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]  GO
ddc:539.7
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2017-09-27
14:49
OpenAccess [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]
 GO
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. [...]
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2017-09-19
10:04
OpenAccess [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] ddc:530
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 $\Delta{\alpha}$, ${\alpha_{\rm s}}$. [...]
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2017-09-05
10:48
OpenAccess [PUBDB-2017-10332] Preprint/Report
; ; ; et al
$(g-2)_\mu$ at four loops in QED
[arXiv:1708.07138; DESY-17-125; TTP17-035]
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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. [...]
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2017-08-01
11:08
OpenAccess [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] ddc:530
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 $n_f = 3, 4, 5$. [...]
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2017-07-17
10:46
DBCoverage [PUBDB-2017-07732] Journal Article
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The three-loop splitting functions $P^{(2)}_{qg}$ and $P^{(2,N_F)}_{gg}$
ddc:530
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. [...]
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2017-07-03
14:52
OpenAccess [PUBDB-2017-06699] Report/Journal Article
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Photon radiation in $e^+e^-\to$ hadrons at low energies with carlomat_3.1
[DESY-17-001; HU-EP-17-01; arXiv:1701.01837] ddc:530
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. [...]
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2017-06-19
13:43
OpenAccess [PUBDB-2017-05452] Report/Journal Article
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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] ddc:530
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. [...]
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2017-06-14
14:42
OpenAccess [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] ddc:530
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. [...]
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