Results 11 to 20 of about 138 (86)

Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ 5 applied to chiral YM theories: full one-loop counterterm and RGE structure

open access: yesJournal of High Energy Physics, 2020
We study the application of the Breitenlohner-Maison-’t Hooft-Veltman (BMHV) scheme of Dimensional Regularization to the renormalization of chiral gauge theories, focusing on the specific counterterm structure required by the non-anticommuting Dirac γ 5 ...
Hermès Bélusca-Maïto   +3 more
doaj   +3 more sources

On renormalons of static QCD potential at u = 1/2 and 3/2

open access: yesJournal of High Energy Physics, 2020
We investigate the u = 1 / 2 O Λ QCD $$ u=1/2\left[\mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right)\right] $$ and u = 3 / 2 O Λ QCD 3 $$ u=3/2\left[\mathcal{O}\left({\Lambda}_{\mathrm{QCD}}^3\right)\right] $$ renormalons in the static QCD potential in ...
Yukinari Sumino, Hiromasa Takaura
doaj   +3 more sources

Reduction of one-loop integrals with higher poles by unitarity cut method

open access: yesJournal of High Energy Physics, 2021
Unitarity cut method has been proved to be very useful in the computation of one-loop integrals. In this paper, we generalize the method to the situation where the powers of propagators in the denominator are larger than one in general.
Bo Feng, Hongbin Wang
doaj   +1 more source

General scalar renormalisation group equations at three-loop order

open access: yesJournal of High Energy Physics, 2020
For arbitrary scalar QFTs in four dimensions, renormalisation group equations of quartic and cubic interactions, mass terms, as well as field anomalous dimensions are computed at three-loop order in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme. Utilising
Tom Steudtner
doaj   +1 more source

Analytic tadpole coefficients of one-loop integrals

open access: yesJournal of High Energy Physics, 2021
One remaining problem of unitarity cut method for one-loop integral reduction is that tadpole coefficients can not be straightforward obtained through this way. In this paper, we reconsider the problem by applying differential operators over an auxiliary
Bo Feng, Tingfei Li, Xiaodi Li
doaj   +1 more source

Exploring the invisible renormalon: Renormalization of the heavy-quark kinetic energy [PDF]

open access: yes, 1996
Using the virial theorem of the heavy-quark effective theory, we show that the mixing of the operator for the heavy-quark kinetic energy with the identity operator is forbidden at the one-loop order by Lorentz invariance.
M. Neubert
semanticscholar   +1 more source

Symmetric single-impurity Kondo model on a tight-binding chain: Comparison of analytical and numerical ground-state approaches [PDF]

open access: yes, 2019
We analyze the ground-state energy, local spin correlation, impurity spin polarization, impurity-induced magnetization, and corresponding zero-field susceptibilities of the symmetric single-impurity Kondo model on a tight-binding chain with bandwidth $W ...
G. Barcza   +5 more
semanticscholar   +1 more source

Mass sum rules of the electron in quantum electrodynamics

open access: yesJournal of High Energy Physics, 2020
Different decompositions of the nucleon mass, in terms of the masses and energies of the underlying constituents, have been proposed in the literature. We explore the corresponding sum rules in quantum electrodynamics for an electron at one-loop order in
S. Rodini, A. Metz, B. Pasquini
doaj   +1 more source

On ambiguities and divergences in perturbative renormalization group functions

open access: yesJournal of High Energy Physics, 2021
There is an ambiguity in choosing field-strength renormalization factors in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme starting from the 3-loop order in perturbation theory.
Florian Herren, Anders Eller Thomsen
doaj   +1 more source

Effective action for the Yukawa model in curved spacetime

open access: yesJournal of High Energy Physics, 2018
We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field is assumed to
David J. Toms
doaj   +1 more source

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