Geodesic
Two-loop renormalization-group calculations in theories with scalar quarks
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 3, pp. 372-383 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We discuss the problem of estimating values of the effective scales of strong interactions in the channels of hypothetical scalar-containing mesons which might exist in models with scalar quarks. The two-loop strong interaction corrections to the anomalous dimensions and coefficient functions of two-point correlators of operators $\varphi^+\varphi$ and $\varphi^+ q$ with quantum numbers of hadrons with spin 0 and spin 1/2 are calculated. Values of effective scale parameters of strong interactions in the channels of $\pi_s$ and $\chi_s$ hadrons are determined. It is pointed out that the results obtained $\Lambda_{\pi_s}=5,81\Lambda_{\overline{MS}}$ and $\Lambda_{\chi_s}=12,78\Lambda_{\overline{MS}}$ can be interpreted as a one more argument in favour of the statement that the mass scale of the scalar-containing mesons can be large. 
@article{TMF_1987_70_3_a4,
     author = {S. G. Gorishnii and A. L. Kataev and S. A. Larin},
     title = {Two-loop renormalization-group calculations in theories with scalar quarks},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {372--383},
     year = {1987},
     volume = {70},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_3_a4/}
}
TY  - JOUR
AU  - S. G. Gorishnii
AU  - A. L. Kataev
AU  - S. A. Larin
TI  - Two-loop renormalization-group calculations in theories with scalar quarks
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1987
SP  - 372
EP  - 383
VL  - 70
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1987_70_3_a4/
LA  - ru
ID  - TMF_1987_70_3_a4
ER  - 
%0 Journal Article
%A S. G. Gorishnii
%A A. L. Kataev
%A S. A. Larin
%T Two-loop renormalization-group calculations in theories with scalar quarks
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1987
%P 372-383
%V 70
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1987_70_3_a4/
%G ru
%F TMF_1987_70_3_a4
S. G. Gorishnii; A. L. Kataev; S. A. Larin. Two-loop renormalization-group calculations in theories with scalar quarks. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 3, pp. 372-383. http://geodesic.mathdoc.fr/item/TMF_1987_70_3_a4/

[1] Ignatev A. Yu., Matveev V. A., Tavkhelidze A. N., Chetyrkin K. G., Shaposhnikov M. E., TMF, 53:2 (1982), 181–187 | MR

[2] Ignatev A. Yu., Kuzmin V. A., Matveev V. A., Tavkhelidze A. N., Chetyrkin K. G., Shaposhnikov M. E., TMF, 47:2 (1981), 147–162 | MR

[3] Chetyrkin K. G., Gorishny S. G., Kataev A. L., Larin S. A., Tkachov F. V., Phys. Lett., 116B:6 (1982), 455–458 | DOI | MR

[4] Avaliani I. S., Matveev V. A., Slepchenko L. A., TMF, 59:1 (1984), 91–103

[5] Gluck M., Reya E., Phys. Rev. Lett., 48:10 (1982), 662–665 | DOI

[6] Machacek M., Vaughn M., Nucl. Phys., B222:1 (1983), 83–103 | DOI

[7] Gross D., Wilczek F., Phys. Rev., D8:10 (1973), 3633–3651

[8] Jones D. R. T., Nucl. Phys., B87:1 (1975), 127–132 | DOI | MR

[9] Grunberg G., Phys. Lett., 95B:1 (1981), 70–74

[10] Kataev A. L., Krasnikov N. V., Pivovarov A. A., Nucl. Phys., B198:3 (1982), 508–518 | DOI

[11] Pivovarov A. A., Popov E. N., Popravka teorii vozmuschenii k korrelyatoram kvarkovykh tokov so spinom $n$, Preprint OIYaI R2-84-334, OIYaI, Dubna, 1984

[12] 't Hooft G., Nucl. Phys., B61:1 (1973), 455–468 | DOI

[13] Vladimirov A. A., TMF, 43:2 (1980), 210–217

[14] Chetyrkin K. G., Kataev A. L., Tkachov F. V., Nucl. Phys., B174:2 (1980), 345–377 | DOI | MR

[15] Gorishnii S. G., Larin S. A., Tkachev F. V., Programma dlya sistemy SCHOONSCHIP dlya odnogo klassa vychislenii v kvantovoi teorii polya, Preprint IYaI, P-0330, IYaI AN SSSR, M., 1984 | MR

[16] Chetyrkin K. G., Tkachov F. V., Nucl. Phys., B192:1 (1981), 159–204 | DOI