article
Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass
published
yes
Jochem
Fleischer
author 40323
AV
Kotikov
author
OL
Veretin
author
10028
department
23470617
department
For a large class of two-loop self-energy- and vertex-type diagrams with only one non-zero mass (m) and the vertices also with only one non-zero external momentum squared (q(2)) the first few expansion coefficients are calculated by the large mass expansion. This allows us to 'guess' the general structure of these coefficients and to verify them in terms of certain classes of 'basis elements', which are essentially harmonic sums. Since for this case with only one non-zero mass the large mass expansion and the Taylor series in terms of q(2) are identical, this approach yields analytic expressions of the Taylor coefficients, from which the diagram can be easily evaluated numerically in a large domain of the complex q(2)-plane by well known methods. It is also possible to sum the Taylor series and present the results in terms of polylogarithms. (C) 1999 Elsevier Science B.V.
ELSEVIER SCIENCE BV1999
eng
two-loop diagramself-energy and vertex diagramFeynman diagram
NUCLEAR PHYSICS B
0550-3213
hep-ph/9808242
474411
00008049410001810.1016/S0550-3213(99)00078-4
5471-2343-374
J. Fleischer, A. V. Kotikov, and O. L. Veretin, “Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass”, <em>NUCLEAR PHYSICS B</em>, <strong>1999</strong>, <em>547</em>, 343-374.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Fleischer, J., Kotikov, A.V. & Veretin, O.L. (1999). Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass. <em>NUCLEAR PHYSICS B</em>, <em>547</em>(1-2), 343-374. ELSEVIER SCIENCE BV. doi:10.1016/S0550-3213(99)00078-4.</div>
J. Fleischer, A. V. Kotikov, and O. L. Veretin, Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass, NUCLEAR PHYSICS B <strong>547</strong>, 343 (1999).
Fleischer, J., Kotikov, A.V., & Veretin, O.L., 1999. Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass. <em>NUCLEAR PHYSICS B</em>, 547(1-2), p 343-374.
Fleischer J, Kotikov AV, Veretin OL (1999) <br />Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass.<br />NUCLEAR PHYSICS B 547(1-2): 343-374.
Fleischer, Jochem, Kotikov, AV, and Veretin, OL. “Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass”. <em>NUCLEAR PHYSICS B</em> 547.1-2 (1999): 343-374.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Fleischer, J., Kotikov, A. V., & Veretin, O. L. (1999). Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass. <em>NUCLEAR PHYSICS B</em>, <em>547</em>(1-2), 343-374. doi:10.1016/S0550-3213(99)00078-4</div>
Fleischer, J., Kotikov, A. V., & Veretin, O. L. (1999). Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass. <em>NUCLEAR PHYSICS B</em>, <em>547</em>(1-2), 343-374. doi:10.1016/S0550-3213(99)00078-4
Fleischer J, Kotikov AV, Veretin OL (1999) <br /><em>NUCLEAR PHYSICS B</em> 547(1-2): 343-374.
J. Fleischer, A.V. Kotikov, and O.L. Veretin, “Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass”, <em>NUCLEAR PHYSICS B</em>, vol. 547, 1999, pp. 343-374.
Fleischer, J., Kotikov, A.V., Veretin, O.L.: Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass. NUCLEAR PHYSICS B. 547, 343-374 (1999).
Fleischer J, Kotikov AV, Veretin OL. Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass. <em>NUCLEAR PHYSICS B</em>. 1999;547(1-2):343-374.
Fleischer, J.; Kotikov, A. V.; Veretin, O. L. (1999): Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass <em>NUCLEAR PHYSICS B</em>,547:(1-2): 343-374.
Fleischer, J., Kotikov, A. V., and Veretin, O. L. (1999). Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass. <em>NUCLEAR PHYSICS B</em> 547, 343-374.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Fleischer, Jochem, Kotikov, AV, and Veretin, OL. 1999. “Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass”. <em>NUCLEAR PHYSICS B</em> 547 (1-2): 343-374.</div>
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