Low-energy moments of heavy quark current correlators at four loops

被引：76

作者：

Maier, A. ^{[1
]}

Maierhoefer, P. ^{[1
]}

Marquard, P. ^{[1
]}

Smirnov, A. V. ^{[2
]}

机构：

[1] Univ Karlsruhe, Inst Theoret Teilchenphys, KIT, D-76128 Karlsruhe, Germany

[2] Moscow MV Lomonosov State Univ, Sci Res Comp Ctr, Moscow, Russia

来源：

NUCLEAR PHYSICS B | 2010年 / 824卷 / 1-2期

关键词：

Perturbative calculations; Quantum chromodynamics; Dispersion relations; Heavy quarks; VACUUM POLARIZATION FUNCTION; DIFFERENTIAL-EQUATIONS; 4-LOOP TADPOLES; INTEGRATION; QCD; O(ALPHA(2)(S)); MASSES; PARTS;

D O I：

10.1016/j.nuclphysb.2009.08.011

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We describe several techniques for the calculation of multi-loop integrals and their application to heavy quark current correlators. As new results, we present the four-loop correction to the second and third physical moments in the low-energy expansions of vector, axial-vector and scalar quark current correlators. Using the Ward identity. we obtain the third and fourth moments for the pseudo-scalar correlator. We briefly discuss the impact of these results on the determination of the charm quark mass and the strong Coupling constant using lattice Simulations for the Current correlators and of the charm- and bottom-quark mass from experimental data for sigma (e(+)e(-) -> hadrons). (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：1 / 18

页数：18

共 43 条

[1] High-precision charm-quark mass and QCD coupling from current-current correlators in lattice and continuum QCD [J].

Allison, I. ;

Dalgic, E. ;

Davies, C. T. H. ;

Follana, E. ;

Horgan, R. R. ;

Hornbostel, K. ;

Lepage, G. P. ;

McNeile, C. ;

Shigemitsu, J. ;

Trottier, H. ;

Woloshyn, R. M. ;

Chetyrkin, K. G. ;

Kuehn, J. H. ;

Steinhauser, M. ;

Sturm, C. .

PHYSICAL REVIEW D, 2008, 78 (05)

[2]

[Anonymous], 2000, MATHPH0010025

[3] Measurement of the e+e- → b(b)over-bar Cross Section between √s=10.54 and 11.20 GeV [J].

Aubert, B. ;

Bona, M. ;

Karyotakis, Y. ;

Lees, J. P. ;

Poireau, V. ;

Prencipe, E. ;

Prudent, X. ;

Tisserand, V. ;

Garra Tico, J. ;

Grauges, E. ;

Lopez, L. ;

Palano, A. ;

Pappagallo, M. ;

Eigen, G. ;

Stugu, B. ;

Sun, L. ;

Abrams, G. S. ;

Battaglia, M. ;

Brown, D. N. ;

Cahn, R. N. ;

Jacobsen, R. G. ;

Kerth, L. T. ;

Kolomensky, Yu. G. ;

Lynch, G. ;

Osipenkov, I. L. ;

Ronan, M. T. ;

Tackmann, K. ;

Tanabe, T. ;

Hawkes, C. M. ;

Soni, N. ;

Watson, A. T. ;

Koch, H. ;

Schroeder, T. ;

Walker, D. ;

Asgeirsson, D. J. ;

Fulsom, B. G. ;

Hearty, C. ;

Mattison, T. S. ;

McKenna, J. A. ;

Barrett, M. ;

Khan, A. ;

Blinov, V. E. ;

Bukin, A. D. ;

Buzykaev, A. R. ;

Druzhinin, V. P. ;

Golubev, V. B. ;

Onuchin, A. P. ;

Serednyakov, S. I. ;

Skovpen, Yu. I. ;

Solodov, E. P. .

PHYSICAL REVIEW LETTERS, 2009, 102 (01)

[4] Hypergeometric representation of a four-loop vacuum bubble [J].

Bejdakic, E. ;

Schroeder, Y. .

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2006, 160 :155-159

[5] Charm- and bottom-quark masses from perturbative QCD [J].

Boughezal, R. ;

Czakon, M. ;

Schutzmeier, T. .

PHYSICAL REVIEW D, 2006, 74 (07)

[6] Four-loop tadpoles: Applications in QCD [J].

Boughezal, R. ;

Czakon, M. ;

Schutzmeier, T. .

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2006, 160 :160-164

[7] 3-LOOP ON-SHELL CHARGE RENORMALIZATION WITHOUT INTEGRATION - LAMBDA-QED(MS)BAR TO 4 LOOPS [J].

BROADHURST, DJ .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1992, 54 (04) :599-606

[8]

Caffo M, 1998, NUOVO CIMENTO A, V111, P365

[9] Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD [J].

Chetyrkin, K. G. ;

Kuehn, J. H. ;

Sturm, C. .

EUROPEAN PHYSICAL JOURNAL C, 2006, 48 (01) :107-110

[10] ε-finite basis of master integrals for the integration-by-parts method [J].

Chetyrkin, KG ;

Faisst, M ;

Sturm, C ;

Tentyukov, M .

NUCLEAR PHYSICS B, 2006, 742 :208-229

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