20171016 10:41 
[PUBDB201711400]
Preprint/Report
Blümlein, J. ; De Freitas, A. ; Schneider, C. ; et al
The Three Loop TwoMass Contribution to the Gluon Vacuum Polarization
[DESY17157; DOTH1726; arXiv:1710.04500]
We calculate the twomass contribution to the 3loop 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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20171012 14:17 
[PUBDB201711329]
Book
Jegerlehner, F.
The anomalous magnetic moment of the muon; 2nd ed.
ddc:539.7
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20170927 14:49 
[PUBDB201711060]
Preprint/Report
Luthe, T. ; Maier, A. ; Marquard, P. ; et al
The fiveloop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
[BITP201713; DESY17142; IPPP1768; arXiv:1709.07718]
We focus on a nonabelian 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 subleading largeNf term of the fiveloop Beta function earlier, we here report on a confirmation of the allNf result that has in the meantime been published by another group. [...]
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20170919 10:04 
[PUBDB201710870]
Report/Journal Article
Dubovyk, I. ; Freitas, A. ; Gluza, J. ; et al
The twoloop electroweak bosonic corrections to $\sin^2\theta_{\textrm{eff}}^{\textrm{b}}$
[DESY16119; KW16002; 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 twoloop accuracy has now been completed by the first calculation of the bosonic twoloop 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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20170905 10:48 
[PUBDB201710332]
Preprint/Report
Marquard, P. ; Smirnov, A. V. ; Smirnov, V. A. ; et al
$(g2)_\mu$ at four loops in QED
[arXiv:1708.07138; DESY17125; TTP17035]
We review the fourloop 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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20170801 11:08 
[PUBDB201708782]
Report/Journal Article
Alekhin, S. ; Blümlein, J. ; Moch, S. ; et al
Parton distribution functions, $\alpha_s$, and heavyquark masses for LHC Run II
[DESY16179, DOTH1613, 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 nexttonexttoleading order (NNLO) in QCD. The analysis uses the $\overline{MS}$ scheme for $\alpha_s$ and all quark masses and is performed in the fixedflavor number scheme for $n_f = 3, 4, 5$. [...]
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20170717 10:46 
[PUBDB201707732]
Journal Article
Ablinger, J. ; Behring, A. ; Blümlein, J. ; et al
The threeloop splitting functions $P^{(2)}_{qg}$ and $P^{(2,N_F)}_{gg}$
ddc:530
We calculate the unpolarized twist2 threeloop splitting functions $P^{(2)}_{qg} (x)$ and $P^{(2,N_F)}_{gg} (x)$ and the associated anomalous dimensions using massive threeloop 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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20170703 14:52 
[PUBDB201706699]
Report/Journal Article
Jegerlehner, F. ; Kołodziej, K.
Photon radiation in $e^+e^\to$ hadrons at low energies with carlomat_3.1
[DESY17001; HUEP1701; 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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20170619 13:43 
[PUBDB201705452]
Report/Journal Article
Moch, S. ; Vermaseren, J. A. M. ; Vogt, A.
On ${\gamma }_{5}$ in higherorder QCD calculations and the NNLO evolution of the polarized valence distribution
[DESY15061; NIKHEF15018; LTH1042; arXiv:1506.04517]
ddc:530
We discuss the prescription for the Dirac matrix ${\gamma }_{5}$ in dimensional regularization used in most second and thirdorder 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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20170614 14:42 
[PUBDB201704944]
Report/Journal Article
Behring, A. ; Blümlein, J. ; Falcioni, G. ; et al
Asymptotic 3loop heavy flavor corrections to the charged current structure functions $F^{W^{+}W^{}}_{L}(x,Q^{2})$ and $F^{W^{+}W^{}}_{2}(x,Q^{2})$
[DESY16148; DOTH1615; arXiv:1609.06255]
ddc:530
We calculate the massive Wilson coefficients for the heavy flavor contributions to the nonsinglet charged current deepinelastic 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 3loop 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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