Higher logarithms and ε-poles for the MS-like renormalization prescriptions

Meshcheriakov, N.P.; Shatalova, V.V.; Stepanyantz, K.V.

Авторы: Meshcheriakov N.P., Shatalova V.V., Stepanyantz K.V.
Журнал: Journal of High Energy Physics
Том: 12
Год издания: 2023
Издательство: IOP Publishing
Местоположение издательства: [Bristol, UK], England
Номер статьи: 097
DOI: 10.1007/JHEP12(2023)097
Аннотация: We consider a version of dimensional regularization (reduction) in which the dimensionful regularization parameter $\Lambda$ is in general different from the renormalization scale $\mu$. Then in the scheme analogous to the minimal subtraction the renormalization constants contain $\varepsilon$-poles, powers of $\ln\Lambda/\mu$, and mixed terms of the structure $\varepsilon^{-q}\ln^{p}\Lambda/\mu$. For the MS-like schemes we present explicit expressions for the coefficients at all these structures which relate them to the coefficients in the renormalization group functions, namely in the $\beta$-function and in the anomalous dimension. In particular, for the pure $\varepsilon$-poles we present explicit solutions of the 't~Hooft pole equations. Also we construct simple all-loop expressions for the renormalization constants (also written in terms of the renormalization group functions) which produce all $\varepsilon$-poles and logarithms and establish a number of relations between various coefficients at $\varepsilon$-poles and logarithms. The results are illustrated by some examples.
Добавил в систему: Степаньянц Константин Викторович

	ИСТИНА	Войти в систему Регистрация
	ИСТИНА ЦЭМИ РАН
	Главная Поиск Статистика О проекте Помощь

ИСТИНА

ИСТИНА ЦЭМИ РАН

Higher logarithms and ε-poles for the MS-like renormalization prescriptionsстатья

Прикрепленные файлы