Three-Loop β-Functions and a Class of the NSVZ Schemes for MSSM Obtained with the Help of the Higher Covariant Derivative Regularization

Haneychuk, O.V.; Shirokova, V.Y.; Stepanyantz, K.V.

Авторы: Haneychuk O.V., Shirokova V.Yu, Stepanyantz K.V.
Журнал: Moscow University Physics Bulletin
Том: 79
Номер: Suppl. 1
Год издания: 2024
Издательство: Allerton Press
Местоположение издательства: New York, N.Y., United States
Первая страница: S508
Последняя страница: S511
DOI: 10.3103/S002713492470139X
Аннотация: The three-loop β-functions and two-loop anomalous dimensions for the MSSM are obtainedboth in terms of the bare and renormalized couplings in case when the theory is regularized by highercovariant derivatives for an arbitrary supersymmetric subtraction scheme. RGFs defined in terms of thebare couplings satisfy the NSVZ relations in all orders under this regularization. For this reason we startfrom calculating two-loop anomalous dimensions for all MSSM chiral matter superfields defined in termsof the bare couplings. Using this result, we obtain two-loop anomalous dimensions standardly defined interms of the renormalized couplings and the three-loop β-functions defined in terms of the bare couplingsfrom the NSVZ relations. Then the three-loop β-functions defined in terms of the renormalized couplingsare also calculated, and we verify that under certain renormalization prescription they coincide with theDR-result obtained earlier. Comparing them with the corresponding two-loop anomalous dimensions, weconstruct a class of renormalization prescriptions for which the NSVZ equations are valid.
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Three-Loop β-Functions and a Class of the NSVZ Schemes for MSSM Obtained with the Help of the Higher Covariant Derivative Regularizationстатья

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