2003
DOI: 10.1103/physrevd.67.014507
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One loop matching coefficients for a variant overlap action and some of its simpler relatives

Abstract: I present one-loop perturbative calculations of matching coefficients between matrix elements in continuum regulated QCD and lattice QCD with overlap fermions, with emphasis a recentlyproposed variant discretization of the overlap. These fermions have extended ("fat link") gauge connections. The scale for evaluation of the running coupling constant (in the context of the LepageMackenzie fixing scheme) is also given. A variety of results (for additive mass renormalization, local currents, and some non-penguin f… Show more

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Cited by 28 publications
(14 citation statements)
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“…Assuming α s ∼ 0.2-0.3, these contributions are not negligible. The small scaling violation of the actual data may suggest that these effects are small, which is consistent with an expectation that the radiative corrections are relatively small in general when using link smearing [29]. An explicit perturbative calculation to confirm this expectation is on-going.…”
Section: Speed-of-light For Pseudo-scalar Mesonsupporting
confidence: 79%
“…Assuming α s ∼ 0.2-0.3, these contributions are not negligible. The small scaling violation of the actual data may suggest that these effects are small, which is consistent with an expectation that the radiative corrections are relatively small in general when using link smearing [29]. An explicit perturbative calculation to confirm this expectation is on-going.…”
Section: Speed-of-light For Pseudo-scalar Mesonsupporting
confidence: 79%
“…The tiny value of K 1 suggests that we should not worry about lattice induced mixing effects and just take K 1 = 0. For comparison, the value of K 1 with thin links is nearly 20 times larger [46]. This allows us to quickly extend the mnemonic of Eq.…”
Section: Acknowledgmentsmentioning
confidence: 93%
“…Their procedure requires slight modification for operators with an anomalous dimension; our precise technique is that of Ref. [46]. We find q B a = 1.15.…”
Section: Acknowledgmentsmentioning
confidence: 98%
See 1 more Smart Citation
“…Following Ref. [DeG03], the effect of smearing can be implemented in our one-loop calculation by replacing the gauge field by a smeared one:…”
Section: Perturbative Link Renormalizationmentioning
confidence: 99%