Scheme-scale ambiguity in analysis of QCD observable

B. A. Kniehl

doi:10.1088/1674-1137/34/9/090

Chinese Physics C> 2010, Vol. 34> Issue(9) : 1523-1526 DOI: 10.1088/1674-1137/34/9/090

Scheme-scale ambiguity in analysis of QCD observable

B. A. Kniehl

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Abstract：
The scheme-scale ambiguity that has plagued perturbative analysis in QCD remains on obstacle to making precise tests of the theory. Many attempts have been done to resolve the scale ambiguity. In this regard the BLM, EC, PMS and CORGI approaches are more distinct. We try to employ these methods to fix the scale ambiguity at NLO, NNLO and even in more higher order approximations. By optimizing the renormalization scale, there will be a possibility to predicate higher order terms. We present general results for predicted terms at any order, using different optimization methods. Some observable as specific examples will be used to indicate the validity of scale fixing to predicate the higher order terms.

References

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. Stevenson P M. Phys. Rev. D, 1981, 23: 29162. Maxwell C J, Mirjalili A. Nucl. Phys. B, 2000, 577: 2093. Brodsky S J, Gabadadze G T, Kataev A L, LU H J. Phys.Lett. B, 1996, 372: 1334. Grunberg G. Phys. Rev. D, 1992, 46: 22285. Keshavarzian K, Mirjalili A, Yazdanpanah M M. Int. J.Mod. Phys. A, 2008, 23: 50376. Baikov P A, Chetyrkin K G, Kuhn G H. Phys. Rev. Lett.,2008, 101: 012002; S.Menke hep-ph/0904.1796

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B. A. Kniehl. Scheme-scale ambiguity in analysis of QCD observable[J]. Chinese Physics C, 2010, 34(9): 1523-1526. doi: 10.1088/1674-1137/34/9/090

B. A. Kniehl. Scheme-scale ambiguity in analysis of QCD observable[J]. Chinese Physics C, 2010, 34(9): 1523-1526. doi: 10.1088/1674-1137/34/9/090 shu

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Received: 2010-02-09
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Scheme-scale ambiguity in analysis of QCD observable

B. A. Kniehl

Received Date: 2010-02-09
Accepted Date: 1900-01-01
Available Online: 2010-09-05

Abstract:

The scheme-scale ambiguity that has plagued perturbative analysis in QCD remains on obstacle to making precise tests of the theory. Many attempts have been done to resolve the scale ambiguity. In this regard the BLM, EC, PMS and CORGI approaches are more distinct. We try to employ these methods to fix the scale ambiguity at NLO, NNLO and even in more higher order approximations. By optimizing the renormalization scale, there will be a possibility to predicate higher order terms. We present general results for predicted terms at any order, using different optimization methods. Some observable as specific examples will be used to indicate the validity of scale fixing to predicate the higher order terms.