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Title: Renormalization group evolution for the ΔS=1 effective Hamiltonian with Nf=2+1
Authors: Lee, Weonjong.
Adams, David H.
Keywords: DRNTU::Science::Mathematics::Analysis
Issue Date: 2007
Source: Adams, D. H., & Lee, W. (2007). Renormalization group evolution for the ΔS=1 effective Hamiltonian with Nf=2+1. Physical review D, 75(7), 074502.
Series/Report no.: Physical review D
Abstract: We discuss the renormalization group (RG) evolution for the ΔS=1 operators in unquenched QCD with N f =3 (m u =m d =m s ) or, more generally, N f =2+1 (m u =m d ≠m s ) flavors. In particular, we focus on the specific problem of how to treat the singularities which show up only for N f =3 or N f =2+1 in the original solution of Buras et al. for the RG evolution matrix at next-to-leading order. On top of the original treatment of Buras et al., we use a new method of analytic continuation to obtain the correct solution in this case. It is free of singularities and can therefore be used in numerical analysis of data sets calculated in lattice QCD.
DOI: 10.1103/PhysRevD.75.074502
Rights: © 2007 The American Physical Society. This paper was published in Physical Review D and is made available as an electronic reprint (preprint) with permission of The American Physical Society. The paper can be found at the following official DOI:  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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