S. Laporta
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View article: The anomalous magnetic moment of the muon in the Standard Model: an update
The anomalous magnetic moment of the muon in the Standard Model: an update Open
We present the current Standard Model (SM) prediction for the muon anomalous magnetic moment, $a_μ$, updating the first White Paper (WP20) [1]. The pure QED and electroweak contributions have been further consolidated, while hadronic contr…
View article: Time-kernel for lattice determinations of NLO hadronic vacuum polarization contributions to the muon g-2
Time-kernel for lattice determinations of NLO hadronic vacuum polarization contributions to the muon g-2 Open
We study the time-momentum representation of the kernel needed to compute the hadronic vacuum polarization contribution to the muon g-2 in the space-like region at next-to-leading order. For small values of the time, we present analytical …
View article: Time-kernel for lattice determinations of NLO hadronic vacuum polarization contributions to the muon $g$-$2$
Time-kernel for lattice determinations of NLO hadronic vacuum polarization contributions to the muon $g$-$2$ Open
We study the time-momentum representation of the kernel needed to compute hadronic vacuum polarization contributions to the muon $g$-$2$ in the space-like region at next-to-leading order. For small values of the time, we present analytical…
View article: Dimensional regularization and two-loop vacuum polarization operator: Master integrals, analytic results, and energy shifts
Dimensional regularization and two-loop vacuum polarization operator: Master integrals, analytic results, and energy shifts Open
We present a complete reevaluation of the irreducible two-loop vacuum-polarization correction to the photon propagator in quantum electrodynamics, i.e. with an electron-positron pair in the fermion propagators. The integration is carried o…
View article: Four-loop master integrals and hypergeometric functions
Four-loop master integrals and hypergeometric functions Open
We recall the analytical result of the 4-loop QED contribution to the electron $g$-$2$ and slope, which contain elliptic constants. We describe the relations between four elliptic constants which have ${}_4F_3$ hypergeometric expressions. …
View article: Mini-Proceedings of the STRONG2020 Virtual Workshop on "Space-like and Time-like determination of the Hadronic Leading Order contribution to the Muon $g-2$"
Mini-Proceedings of the STRONG2020 Virtual Workshop on "Space-like and Time-like determination of the Hadronic Leading Order contribution to the Muon $g-2$" Open
The mini-proceedings of the STRONG2020 Virtual Workshop "Space-like and Time-like determination of the Hadronic Leading Order contribution to the Muon $g-2$", November 24--26 2021, are presented. This is the first workshop of the STRONG202…
View article: Hadronic vacuum polarization contributions to the muon $g$-2 in the\n space-like region
Hadronic vacuum polarization contributions to the muon $g$-2 in the\n space-like region Open
We present simple analytic expressions to compute the hadronic vacuum\npolarization contribution to the muon $g$-2 in the space-like region up to\nnext-to-next-to-leading order. These results can be employed in lattice QCD\ncalculations of…
View article: Gravitational scattering at the seventh order in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>G</mml:mi></mml:math>: Nonlocal contribution at the sixth post-Newtonian accuracy
Gravitational scattering at the seventh order in : Nonlocal contribution at the sixth post-Newtonian accuracy Open
A recently introduced approach to the classical gravitational dynamics of binary systems involves intricate integrals (linked to a combination of nonlocal-in-time interactions with iterated $\frac1r$-potential scattering) which have so far…
View article: Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics
Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics Open
A recently introduced approach to the gravitational dynamics of binary systems involves intricate integrals, linked to nonlocal-in-time interactions arising at the 5-loop level of classical gravitational scattering. We complete the analyti…
View article: High-precision four-loop mass and wave function renormalization in QED
High-precision four-loop mass and wave function renormalization in QED Open
The 4-loop QED mass and wave function renormalization constants $Z_2$ and $Z_m$ have been evaluated in the on-shell subtraction scheme with 1100 digits of precision. We also worked out the coefficients of the five color structures of the Q…
View article: The 4-loop slope of the Dirac form factor
The 4-loop slope of the Dirac form factor Open
The 4-loop contribution to the slope of the Dirac form factor in QED has been evaluated with 1100 digits of precision. The value is $ {m^2}F_1^{(4)'}(0) = {\rm{0}}{\rm{.886545673946443145836821730610315359390424032660064745}} \cdots {\left…
View article: Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers Open
The reduction of a large number of scalar multi-loop integrals to the smaller set of Master Integrals is an integral part of the computation of any multi-loop amplitudes. The reduction is usually achieved by employing the traditional Integ…
View article: The four-loop slope of the Dirac form factor
The four-loop slope of the Dirac form factor Open
We have evaluated with 1100 digits of precision the 4-loop contribution to the slope of the Dirac form factor in QED. The value is $$ m^2 F_1^{(4)'}(0) = 0.886545673946443145836821730610315359390424032660064745{\ldots} \left(\frac{\alpha}{…
View article: Master integrals for the NNLO virtual corrections to $q \bar{q} \rightarrow t \bar{t}$ scattering in QCD: the non-planar graphs
Master integrals for the NNLO virtual corrections to $q \bar{q} \rightarrow t \bar{t}$ scattering in QCD: the non-planar graphs Open
We complete the analytic evaluation of the master integrals for the two-loop non-planar box diagrams contributing to the top-pair production in the quark-initiated channel, at next-to-next-to-leading order in QCD. The integrals are determi…
View article: Four-loop QED contributions to the electron <i>g</i>-2
Four-loop QED contributions to the electron <i>g</i>-2 Open
The anomalous magnetic moment of the electron is one of the physical quantities measured with the highest precision. Such high precision demands a similar precision in the theoretical evaluations in order to obtain stringent tests of QED. …
View article: Building bases for analytical fits of four-loop QED master integrals
Building bases for analytical fits of four-loop QED master integrals Open
In this paper I will briefly describe how to find some elements of the basis necessary for the PSLQ fits of master integrals that appear in the calculation of four-loop contributions to the electron $g$-$2$ and the renormalization constant…
View article: High-precision calculation of the 4-loop contribution to the electron<i>g</i>-2 in QED<sup>1</sup>
High-precision calculation of the 4-loop contribution to the electron<i>g</i>-2 in QED<sup>1</sup> Open
In this paper I show the result of the numerical evaluation of the mass-independent 4-loop contribution to the electron g-2 in QED with 1100 digits of precision. I show the semi-analytical fit to the numerical value, which contains harmoni…
View article: New results on <i>g</i>-2 calculation<sup>1</sup>
New results on <i>g</i>-2 calculation<sup>1</sup> Open
In this paper I summarize the current situation of the theoretical calculation of the electron g-2, including the result from the recent calculation of the QED mass-independent 4-loop contribution with a precision of 1100 digits.
View article: High-precision calculation of the 4-loop contribution to the electron g-2 in QED
High-precision calculation of the 4-loop contribution to the electron g-2 in QED Open
In this paper I briefly describe the results of the numerical evaluation of the mass-independent 4-loop contribution to the electron $g$-$2$ in QED with 1100 digits of precision. In particular I also show the semi-analytical fit to the num…
View article: QED contributions to electron<i>g</i>-2
QED contributions to electron<i>g</i>-2 Open
In this paper I briefly describe the results of the numerical evaluation of the mass-independent 4-loop contribution to the electron g -2 in QED with 1100 digits of precision. In particular I also show the semi-analytical fit to the numeri…