Results 21 to 30 of about 774 (251)
Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series
Journal of High Energy Physics, 2018 We present a generalization of the symbol calculus from ordinary multiple polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a coaction on large classes of periods that is applied in particular to elliptic ...
Johannes Broedel +4 more
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The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering
Nuclear Physics B, 2019 We calculate the massive two–loop pure singlet Wilson coefficients for heavy quark production in the unpolarized case analytically in the whole kinematic region and derive the threshold and asymptotic expansions.
J. Blümlein +3 more
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High-precision calculation of the 4-loop QED contribution to the slope of the Dirac form factor
Physics Letters B, 2020 We have evaluated with 1100 digits of precision the contribution of all the 891 mass-independent 4-loop Feynman diagrams contributing to the slope of the Dirac form factor in QED.
Stefano Laporta
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Corrections in “Tables of Complete Elliptic Integrals” [PDF]
Journal of Mathematics and Physics, 1941 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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High-precision calculation of the 4-loop contribution to the electron g-2 in QED
Physics Letters B, 2017 I have evaluated up to 1100 digits of precision the contribution of the 891 4-loop Feynman diagrams contributing to the electron g-2 in QED. The total mass-independent 4-loop contribution is ae=−1.912245764926445574152647167439830054060873390658725345 ...
Stefano Laporta
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Integrals involving complete elliptic integrals
Journal of Computational and Applied Mathematics, 1999 The authors have evaluated certain integrals involving complete elliptic integrals \(K(k)\) and \(E(k)\). Several special cases are mentioned. The interested readers are referred to [\textit{S. L. Kalla} and \textit{Bader N. Al-Saqabi}; Res. Math. 20, No. 1/2, 507-516 (1991; Zbl 0767.33016)].
Cvijovic, Djurdje, Klinowski, Jacek
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Fishnet four-point integrals: integrable representations and thermodynamic limits
Journal of High Energy Physics, 2021 We consider four-point integrals arising in the planar limit of the conformal “fishnet” theory in four dimensions. They define a two-parameter family of higher-loop Feynman integrals, which extend the series of ladder integrals and were argued, based on ...
Benjamin Basso +4 more
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QED contributions to electron g-2
EPJ Web of Conferences, 2018 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 numerical value, which
Laporta Stefano
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On the Complete Elliptic Integrals and Babylonian Identity XII: The Complete Elliptic Integral of First Kind and Power Series Representation [PDF]
The Bulletin of Society for Mathematical Services and Standards, 2014 We developed a new power series representation of the complete elliptic integral of first kind.
Edigles Guedes, K. Raja Rama Gandhi
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source