Analytic computing methods for precision calculations in quantum field theory
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Publication:4569329
DOI10.1142/S0217751X18300156zbMATH Open1392.81192arXiv1809.02889WikidataQ129728157 ScholiaQ129728157MaRDI QIDQ4569329
Author name not available (Why is that?)
Publication date: 28 June 2018
Published in: (Search for Journal in Brave)
Abstract: An overview is presented on the current status of main mathematical computation methods for the multi-loop corrections to single scale observables in quantum field theory and the associated mathematical number and function spaces and algebras. At present massless single scale quantities can be calculated analytically in QCD to 4-loop order and single mass and double mass quantities to 3-loop order, while zero scale quantities have been calculated to 5-loop order. The precision requirements of the planned measurements, particularly at the FCC-ee, form important challenges to theory, and will need important extensions of the presently known methods.
Full work available at URL: https://arxiv.org/abs/1809.02889
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