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• W2923177139 abstract "A bstract The three-loop Adler D -function for $$ mathcal{N}=1 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:math> SQCD in the $$ overline{mathrm{DR}} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mover> <mml:mrow> <mml:mi>D</mml:mi> <mml:mi>R</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> scheme is calculated starting from the three-loop result recently obtained with the higher covariant derivative regularization. For this purpose, for the theory regularized by higher derivatives we find a subtraction scheme in which the Green functions coincide with the ones obtained with the dimensional reduction and the modified minimal subtraction prescription for the renormalization of the SQCD coupling constant and of the matter superfields. Also we calculate the D -function in the $$ overline{mathrm{DR}} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mover> <mml:mrow> <mml:mi>D</mml:mi> <mml:mi>R</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> scheme for all renormalization constants (including the one for the electromagnetic coupling constant which appears due to the SQCD corrections). It is shown that the results do not satisfy the NSVZ-like equation relating the D -function to the anomalous dimension of the matter superfields. However, the NSVZ-like scheme can be constructed with the help of a properly tuned finite renormalization. It is also demonstrated that the three-loop D -function defined in terms of the bare couplings with the dimensional reduction does not satisfy the NSVZ-like equation for an arbitrary renormalization prescription. We also investigate a possibility to present the results in the form of the β -expansion and the scheme dependence of this expansion." @default.
• W2923177139 created "2019-04-01" @default.
• W2923177139 creator A5009825748 @default.
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• W2923177139 date "2019-03-01" @default.
• W2923177139 modified "2023-10-16" @default.
• W2923177139 title "The three-loop Adler D-function for $$ mathcal{N}=1 $$ SQCD regularized by dimensional reduction" @default.
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• W2923177139 doi "https://doi.org/10.1007/jhep03(2019)196" @default.
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