Results 121 to 130 of about 1,806 (222)

Higher $\varepsilon$-poles and logarithms in the MS-like schemes from the algebraic structure of the renormalization group [PDF]

open access: yes
We investigate the structure of renormalization constants within the MS-like renormalization prescriptions for a version of dimensional regularization in which the dimensionful regularization parameter $\Lambda$ differs from the renormalization point ...
Shatalova, Victoria   +2 more
core   +1 more source

The asymptotically-free gauge theories

open access: yesJournal of High Energy Physics
We show how to classify the asymptotically-free gauge theories in four spacetime dimensions, focussing here on the case of purely fermionic matter. The classification depends on the fact (which we prove) that the dimension and Dynkin index of irreducible
Ben Gripaios, Khoi Le Nguyen Nguyen
doaj   +1 more source

Approximating Feynman integrals using complete monotonicity and Stieltjes properties

open access: yesJournal of High Energy Physics
We introduce two novel numerical approaches for computing Feynman integrals based on their complete monotonicity (CM) and Stieltjes properties. The first method uses that scalar Feynman integrals are CM, meaning that all their derivatives have a fixed ...
Sara Ditsch   +2 more
doaj   +1 more source

P-wave Sommerfeld enhancement near threshold: a simplified approach. [PDF]

open access: yesEur Phys J C Part Fields, 2023
de Lima CH   +3 more
europepmc   +1 more source

Motivic renormalization and singularities [PDF]

open access: yes, 2010
We consider parametric Feynman integrals and their dimensional regularization from the point of view of differential forms on hypersurface complements and the approach to mixed Hodge structures via oscillatory integrals.
Marcolli, Matilde, Marcolli, M.
core  

Renormalization without regularization and R-operation

open access: yes, 1994
Definition of Feynman integrals as solutions of some well defined systems of differential equations is proposed. This definition is equivalent to usual one but needs no regularization and application of $R$-operation. It is argued that proposed renormalization scheme maintains all symmetries that can be maintained in perturbative quantum field theory ...
openaire   +2 more sources

Two-loop anomalous dimensions in the LEFT: dimension-six four-fermion operators in NDR

open access: yesJournal of High Energy Physics
We derive the complete set of two-loop anomalous dimensions describing the mixing of four-fermion operators in the Low Energy Effective Field Theory (LEFT).
Jason Aebischer   +3 more
doaj   +1 more source

Renormalization-group equations of the LEFT at two loops: dimension-six operators

open access: yesJournal of High Energy Physics
We present the third part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): insertions of dimension-six operators that conserve baryon number.
Luca Naterop, Peter Stoffer
doaj   +1 more source

Scaling of nonperturbative renormalization of composite operators with overlap fermions [PDF]

open access: yes, 2005
Copyright © 2005. All rights reserved. Printed in U.S.A. Submitted to Cornell University’s online archive www.arXiv.org in 2005 by Jianbo Zhang. Post-print sourced from www.arxiv.org.We compute non-perturbatively the renormalization constants of ...
Leinweber, D., Williams, A., Zhang, J.
core  

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