---
_id: '1622951'
abstract:
- lang: eng
text: 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.
accept: '1'
article_type: original
arxiv: '1'
arxivID: hep-ph/9808242
author:
- autoren_ansetzung:
- Fleischer, Jochem
- Fleischer
- Jochem Fleischer
- Fleischer, J
- Fleischer, J.
- J Fleischer
- J. Fleischer
first_name: Jochem
full_name: Fleischer, Jochem
id: '40323'
last_name: Fleischer
- autoren_ansetzung:
- Kotikov, AV
- Kotikov
- AV Kotikov
- Kotikov, A
- Kotikov, A.
- A Kotikov
- A. Kotikov
first_name: AV
full_name: Kotikov, AV
last_name: Kotikov
- autoren_ansetzung:
- Veretin, OL
- Veretin
- OL Veretin
- Veretin, O
- Veretin, O.
- O Veretin
- O. Veretin
first_name: OL
full_name: Veretin, OL
last_name: Veretin
citation:
ama: Fleischer J, Kotikov AV, Veretin OL. Analytic two-loop results for self-energy-
and vertex-type diagrams with one non-zero mass. *NUCLEAR PHYSICS B*. 1999;547(1-2):343-374.
angewandte-chemie: 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*, **1999**, *547*, 343-374.
apa: 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. *NUCLEAR
PHYSICS B*, *547*(1-2), 343-374. doi:10.1016/S0550-3213(99)00078-4
apa_indent: 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. *NUCLEAR PHYSICS
B*, *547*(1-2), 343-374. doi:10.1016/S0550-3213(99)00078-4

aps: ' 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 **547**, 343 (1999).'
bio1: 'Fleischer J, Kotikov AV, Veretin OL (1999)

Analytic two-loop results
for self-energy- and vertex-type diagrams with one non-zero mass.

NUCLEAR
PHYSICS B 547(1-2): 343-374.'
chicago: 'Fleischer,
Jochem, Kotikov, AV, and Veretin, OL. 1999. “Analytic two-loop results for self-energy-
and vertex-type diagrams with one non-zero mass”. *NUCLEAR PHYSICS B* 547
(1-2): 343-374.

'
default: 'Fleischer J, Kotikov AV, Veretin OL (1999)

*NUCLEAR PHYSICS B*
547(1-2): 343-374.'
dgps: 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. *NUCLEAR PHYSICS B*, *547*(1-2),
343-374. ELSEVIER SCIENCE BV. doi:10.1016/S0550-3213(99)00078-4.

frontiers: 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. *NUCLEAR
PHYSICS B* 547, 343-374.
harvard1: 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. *NUCLEAR
PHYSICS B*, 547(1-2), p 343-374.
ieee: ' 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*, vol. 547, 1999, pp. 343-374.'
lncs: ' 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).'
mla: 'Fleischer, Jochem, Kotikov, AV, and Veretin, OL. “Analytic two-loop results
for self-energy- and vertex-type diagrams with one non-zero mass”. *NUCLEAR
PHYSICS B* 547.1-2 (1999): 343-374.'
wels: '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 *NUCLEAR PHYSICS
B*,547:(1-2): 343-374.'
date_created: 2010-04-28T13:05:55Z
date_submitted: 2011-01-17T07:00:49Z
date_updated: 2018-07-24T12:57:47Z
department:
- _id: '10028'
- _id: '23470617'
doi: 10.1016/S0550-3213(99)00078-4
external_id:
arxiv:
- hep-ph/9808242
inspire:
- '474411'
isi:
- '000080494100018'
first_author: Fleischer, Jochem
id: '1622951'
inspire: '1'
intvolume: ' 547'
isi: '1'
issue: 1-2
keyword:
- two-loop diagram
- self-energy and vertex diagram
- Feynman diagram
language:
- iso: eng
page: 343-374
publication: NUCLEAR PHYSICS B
publication_identifier:
issn:
- 0550-3213
publication_status: published
publisher: ELSEVIER SCIENCE BV
quality_controlled: '1'
status: public
title: Analytic two-loop results for self-energy- and vertex-type diagrams with one
non-zero mass
type: journal_article
volume: '547'
year: '1999'
...