ON THE NUMERICAL EVALUATION OF SCALAR 2-LOOP SELF-ENERGY DIAGRAMS

被引：69

作者：

BERENDS, FA ^{[1
]}

TAUSK, JB ^{[1
]}

机构：

[1] UNIV DURHAM,DEPT PHYS,DURHAM DH1 3LE,ENGLAND

来源：

NUCLEAR PHYSICS B | 1994年 / 421卷 / 02期

关键词：

D O I：

10.1016/0550-3213(94)90336-0

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：

In this paper a method is presented for the numerical evaluation of scalar two-loop self-energy diagrams. It is an extension of Kreimer's two-dimensional integral representation for convergent scalar integrals to the general case where divergencies occur. Where possible, the method is extensively compared with alternative techniques. From this it can be concluded, that the described two-dimensional numerical integration leads to a practical numerical answer for scalar two-loop self-energy diagrams with arbitrary masses.

引用

页码：456 / 470

页数：15

共 29 条

[1] 2-LOOP HEAVY-TOP EFFECTS IN THE STANDARD MODEL [J].

BARBIERI, R ;

BECCARIA, M ;

CIAFALONI, P ;

CURCI, G ;

VICERE, A .

NUCLEAR PHYSICS B, 1993, 409 (01) :105-127

[2] RADIATIVE CORRECTION EFFECTS OF A VERY HEAVY TOP [J].

BARBIERI, R ;

BECCARIA, M ;

CIAFALONI, P ;

CURCI, G ;

VICERE, A .

PHYSICS LETTERS B, 1992, 288 (1-2) :95-98

[3]

BARDIN D, 1989, Z PHYSICS LEP1, V1, P89

[4] LARGE-ANGLE BHABHA SCATTERING [J].

BEENAKKER, W ;

BERENDS, FA ;

VANDERMARCK, SC .

NUCLEAR PHYSICS B, 1991, 349 (02) :323-368

[5] THE RADIATIVE PROCESS E+E--]W+W-GAMMA [J].

BEENAKKER, W ;

BERENDS, FA ;

SACK, T .

NUCLEAR PHYSICS B, 1991, 367 (02) :287-312

[6]

BERENDS F, IN PRESS

[7] HIGHER-ORDER RADIATIVE-CORRECTIONS AT LEP ENERGIES [J].

BERENDS, FA ;

VANNEERVEN, WL ;

BURGERS, GJH .

NUCLEAR PHYSICS B, 1988, 297 (03) :429-478

[8]

BERENDS FA, 1988, NUCL PHYS B, V304, P921

[9] 2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION [J].

BROADHURST, DJ ;

FLEISCHER, J ;

TARASOV, OV .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1993, 60 (02) :287-301

[10] THE MASTER 2-LOOP DIAGRAM WITH MASSES [J].

BROADHURST, DJ .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1990, 47 (01) :115-124

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