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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20170613 16:14 
[PUBDB201704838]
Preprint/Report
Blümlein, J. ; Round, M. ; Schneider, C.
Refined Holonomic Summation Algorithms in Particle Physics
[DESY17087; DOTH1709; arXiv:1706.03677]
An improved multisummation approach is introduced and discussed that enables one to simultaneously handle indefinite nested sums and products in the setting of difference rings and holonomic sequences. Relevant mathematics is reviewed and the underlying advanced difference ring machinery is elaborated upon. [...]
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20170606 13:38 
[PUBDB201704322]
Report/Journal Article
Blümlein, J. ; Schneider, C.
The method of arbitrarily large moments to calculate single scale processes in quantum field theory
[DESY17009; DOTH 1701; arXiv:1701.04614]
ddc:530
We device a new method to calculate a large number of Mellin moments of single scale quantities using the systems of differential and/or difference equations obtained by integrationbyparts identities between the corresponding Feynman integrals of loop corrections to physical quantities. These scalar quantities have a much simpler mathematical structure than the complete quantity. [...]
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20170606 11:46 
[PUBDB201704277]
Preprint/Report
Ablinger, J. ; Blümlein, J. ; De Freitas, A. ; et al
Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses
[DESY14019; DOTH1508; arXiv:1705.07030]
Starting at 3loop order, the massive Wilson coefficients for deepinelastic scattering and the massive operator matrix elements describing the variable flavor number scheme receive contributions of Feynman diagrams carrying quark lines with two different masses. In the case of the charm and bottom quarks, the usual decoupling of one heavy mass at a time no longer holds, since the ratio of the respective masses, $\eta = m_c^2/m_b^2 \sim 1/10$, is not small enough. [...]
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20170606 11:38 
[PUBDB201704273]
Preprint/Report
Ablinger, J. ; Blümlein, J. ; De Freitas, A. ; et al
Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams
[DESY16147; DOTH1614; arXiv:1706.01299]
We calculate 3loop master integrals for heavy quark correlators and the 3loop QCD corrections to the $\rho$parameter. They obey nonfactorizing differential equations of second order with more than three singularities, which cannot be factorized in Mellin$N$ space either. [...]
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20170522 15:43 
[PUBDB201703382]
Report/Journal Article
Luthe, T. ; Maier, A. ; Marquard, P. ; et al
Complete renormalization of QCD at five loops
[BITP201701; DESY17011; IPPP177; arXiv:1701.07068]
ddc:530
We present new analytical fiveloop Feynmangauge results for the anomalous dimensions of ghost field and vertex, generalizing the known values for SU(3) to a general gauge group. Together with previously published results on the quark mass and field anomalous dimensions and the Beta function, this completes the 5loop renormalization program of gauge theories in that gauge..
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20170508 10:59 
[PUBDB201702352]
Preprint/Report
Jegerlehner, F.
Muon $g  2$ Theory: the Hadronic Part
[DESY17058; HUEP1712; arXiv:1705.00263]
I present a status report of the hadronic vacuum polarization effects for the muon $g2$, to be considered as an update of [1]. The update concerns recent new inclusive $R$ measurements from KEDR in the energy range 1.84 to 3.72 GeV. [...]
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20170421 13:38 
[PUBDB201701782]
Preprint/Report
Ablinger, J. ; Behring, A. ; Blümlein, J. ; et al
The 3Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2,\rm N_F)}$
[DESY17062; DOTH1705; MSUHEP17004; MITP17033; TTK1713; arXiv:1705.01508]
We calculate the unpolarized twist2 threeloop splitting functions $P_{qg}^{(2)}(x)$ and$P_{gg}^{(2,\rm N_F)}(x)$ and the associated anomalous dimensions using massive 3loopoperator matrix elements. While we calculate $P_{gg}^{(2,\rm N_F)}(x)$ directly, $P_{qg}^{(2)}(x)$is computed from 973 even moments, without any structural prejudice, using a hierarchy ofrecurrences obtained for the corresponding operator matrix element. [...]
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20170201 09:03 
[PUBDB201700818]
Preprint/Report
Luthe, T. ; Maier, A. ; Marquard, P. ; et al
Complete renormalization of QCD at five loops
[BITP201701; DESY17011; IPPP177; arXiv:1701.07068]
We present new analytical fiveloop Feynmangauge results for the anomalous dimensions of ghost field and vertex, generalizing the known values for SU(3) to a general gauge group. Together with previously published results on the quark mass and field anomalous dimensions and the Beta function, this completes the 5loop renormalization program of gauge theories in that gauge..
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