A note on quark and gluon energy-momentum tensors

• DOI: 10.1007/jhep01(2023)077
• Publication Date: 2023-01-17T10:51:10Z
• Authors: Taushif Ahmed; Long Chen; Michał Czakon
• Keywords: Momentum (technical analysis); Stress–energy tensor; Coupling constant

A bstract We discuss the constraints on quark and gluon energy-momentum tensors in QCD that follow from requirement of Renormalisation-Group invariance traces these operators. Our study covers most general form latter traces, while themselves are only subjected to very mild constraints. derive equations for two finite independent functions strong coupling constant renormalisation scale minimal subtraction which completely define tensors. demonstrate previously proposed definitions renormalized special cases our results assuming no explicit dependence scale. Finally, we present $$ \overline{\textrm{MS}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>MS</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> -renormalised at four-loop order.