handyG– rapid numerical evaluation of generalisedpolylogarithms in Fortran

Generalised polylogarithms naturally appear in higher-order calculations of quantum field theories. We present handyG, a Fortran 90 library for the evaluation of such functions, by implementing the algorithm proposed by Vollinga and Weinzierl. This allows fast numerical evaluation of generalised polylogarithms with currently relevant weights, suitable for Monte Carlo integration

handyG -- rapid numerical evaluation of generalised polylogarithms in Fortran

Generalised polylogarithms naturally appear in higher-order calculations of quantum field theories. We present handyG, a Fortran 90 library for the evaluation of such functions, by implementing the algorithm proposed by Vollinga and Weinzierl. This allows fast numerical evaluation of generalised polylogarithms with currently relevant weights, suitable for Monte Carlo integration.Comment: 24 pages, 3 figures, 2 listings, published version. Code is available at https://gitlab.psi.ch/mcmule/handy

Two Loop Renormalization of Scalar Theories using a Geometric Approach

We derive a general formula for two-loop counterterms in Effective Field Theories (EFTs) using a geometric approach. This formula allows the two-loop results of our previous paper to be applied to a wide range of theories. The two-loop results hold for loop graphs in EFTs where the interaction vertices contain operators of arbitrarily high dimension, but at most two derivatives. We also extend our previous one-loop result to include operators with an arbitrary number of derivatives, as long as there is at most one derivative acting on each field. The final result for the two-loop counterterms is written in terms of geometric quantities such as the Riemann curvature tensor of the scalar manifold and its covariant derivatives. As applications of our results, we give the two-loop counterterms and renormalization group equations for the O(n) EFT to dimension six, the scalar sector of the Standard Model Effective Field Theory (SMEFT) to dimension six, and chiral perturbation theory to order $p^6$.Comment: ChPT results to O($p^6$) now agree with Bijnens, Colangelo, and Ecker, hep-ph/990733

An Algebraic Formula for Two Loop Renormalization of Scalar Quantum Field Theory

We give a general formula for the two-loop renormalization counterterms of a scalar quantum field theory with interactions containing up to two derivatives, which extends 't Hooft's one-loop result. We show that factorizable topologies do not contribute to the renormalization group equations. The results will be combined with the geometric method in a subsequent paper to obtain the renormalization group equations for the scalar sector of effective field theories (EFT) to two-loop order.Comment: 25 pages, 8 figure

Comparative Performance of Private and Public Healthcare Systems in Low- and Middle-Income Countries: A Systematic Review

A systematic review conducted by Sanjay Basu and colleagues reevaluates the evidence relating to comparative performance of public versus private sector healthcare delivery in low- and middle-income countries

Siegen Symposium for Geomeasurement Technology - Current and future challenges : from the four-eyes principle to AI

Die klimabedingt zu erwartende Zunahme von Extremwetterereignissen stellt die bebaute Umwelt vor erhebliche Herausforderungen und erfordert die Entwicklung geeigneter Anpassungsstrategien. Der Geomesstechnik kommt dabei eine besondere Bedeutung zu, denn verknüpft mit der mathematisch-mechanischen Modellbildung liefert sie die Grundlage für die Bewertung möglicher geomechanischer Risiken und für die daraus abzuleitenden Planungsmaßnahmen. In diesem Symposium werden die aktuellen Entwicklungen, die Möglichkeiten und Grenzen der Geomesstechnik in einem interdisziplinären und thematisch breit angelegten Kontext ausgelotet.The expected increase in extreme weather events due to climate change poses considerable challenges to the built environment and requires the development of suitable adaptation strategies. Geomeasurement technology is of particular importance in this context, because linked with mathematical-mechanical modeling it provides the basis for the assessment of possible geomechanical risks and for the planning measures to be derived from them. In this symposium, the current developments, the possibilities and limits of geomeasurement technology will be explored in an interdisciplinary and thematically broad context

handyG—Rapid numerical evaluation of generalised polylogarithms in Fortran

Generalised polylogarithms naturally appear in higher-order calculations of quantum field theories. We present handyG, a Fortran 90 library for the evaluation of such functions, by implementing the algorithm proposed by Vollinga and Weinzierl. This allows fast numerical evaluation of generalised polylogarithms with currently relevant weights, suitable for Monte Carlo integration

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