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• W4353091488 abstract "We investigate whether the seven-loop beta function of the $ensuremath{lambda}{ensuremath{phi}}_{4}^{4}$ theory exhibits evidence for an ultraviolet zero. In addition to a direct analysis of the beta function, we calculate and study Pad'e approximants and discuss effects of scheme transformations on the results. Confirming and extending our earlier studies of the five-loop and six-loop beta functions, we find that in the range of $ensuremath{lambda}$ where the perturbative calculation of the seven-loop beta function is reliable, the theory does not exhibit evidence for an ultraviolet zero." @default.
• W4353091488 created "2023-03-23" @default.
• W4353091488 creator A5085941621 @default.
• W4353091488 date "2023-03-22" @default.
• W4353091488 modified "2023-10-01" @default.
• W4353091488 title "Search for an ultraviolet zero in the seven-loop beta function of the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>λ</mml:mi><mml:msubsup><mml:mi>ϕ</mml:mi><mml:mn>4</mml:mn><mml:mn>4</mml:mn></mml:msubsup></mml:math> theory" @default.
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• W4353091488 doi "https://doi.org/10.1103/physrevd.107.056018" @default.
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