Geodesic
Mass and scheme effects in coupling constant evolution
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 3, pp. 466-472 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider two theoretical aspects of coupling constant evolution: the details of effective coupling behavior in the threshold vicinity and the scheme dependence of the Grand Unification description. Our discussion is based on the Bogoliubov renorm-group formulation and particularly on a new analytic solution of a system of mass-dependent two-loop RG evolution equations for three effective couplings of the standard model. Accurate analysis of the threshold singularity reveals the effect connected with kinematic details of heavy particle creation resulting in an effective shift of the threshold mass $M\to M_*$. On the other hand, we demonstrate that the threshold crossing generally changes the subtraction scheme. This means that the appropriate choice of a subtraction scheme is important in discussing the unification criterion. 
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     author = {D. V. Shirkov},
     title = {Mass and scheme effects in coupling constant evolution},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {1992},
     volume = {93},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_3_a4/}
}
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D. V. Shirkov. Mass and scheme effects in coupling constant evolution. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 3, pp. 466-472. http://geodesic.mathdoc.fr/item/TMF_1992_93_3_a4/

[1] Amaldi U. et al., Phys. Lett. B, 260 (1991), 447–455 | DOI

[2] Amaldi U. et al., CERN-Courier March 9, 31:2, 1, 2 | MR

[3] Shaban N. T., Stirling W. J., Durham preprint DPT/92/24, may 1992

[4] Amaldi U. et al., CERN-PPE / 91-233

[5] Ellis J. et al., Nucl. Phys. B, 373 (1992), 55–72 | DOI

[6] Ross D. A., Nucl. Phys. B, 140 (1978), 1–30 | DOI

[7] Goldman T., Ross D. A., Nucl. Phys. B, 171 (1980), 273–300 | DOI

[8] Llewellyn Smith C. H. et al., Nucl. Phys. B, 177 (1981), 263–281 | DOI

[9] Hall L., Nucl. Phys. B, 178 (1981), 75–124 | DOI

[10] Antoniades I. et al., Nucl. Phys. B, 198 (1982), 317–364 | DOI

[11] Marciano W. G., Phys. Rev. D, 29 (1984), 580 | DOI

[12] Petermann A., Preprint CERN-TH.6487/92

[13] Bogoliubov N. N., Shirkov D. V., Doklady AN SSSR, 102 (1955), 203, 391; Nuovo Cim., 1956, no. 3, 845 | DOI

[14] Bogoliubov N. N., Shirkov D. V., Introduction to the Theory of Quantized Fields, Wiley-Intersc., N. Y., 1959, 1980 | MR

[15] Einhorn M. B., Jones D. R. T., Nucl.Phys. B, 196 (1982), 475 | DOI

[16] Shirkov D. V., Sov. J. Nucl. Phys., 34 (1981), 541–545 | MR

[17] Blank V. Z., Shirkov D. V., Nucl. Phys., 2 (1956), 356–370 | DOI | Zbl

[18] Shirkov D. V., Nucl. Phys. B, 371 (1992), 467–481 | DOI | MR