Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Andrei I. Davydychev"'
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 2, Pp 1-20 (2024)
Abstract We derive analytic results for scalar massless bosonic vacuum sum-integrals at two loops. Building upon a recent factorization proof of massive two-loop vacuum integrals, we are able to solve the corresponding Matsubara sums and map the resu
Externí odkaz:
https://doaj.org/article/31ef3245b2ea4640be61d8b5b5dd3942
Autor:
Andrei I. Davydychev, York Schröder
Publikováno v:
Journal of High Energy Physics, Vol 2022, Iss 12, Pp 1-40 (2022)
Abstract We investigate the structure of a particular class of massive vacuum Feynman integrals at two loops. This class enjoys the linear relation m1 + m2 = m3 between its three propagator masses, corresponding to zeros of the associated Källén fu
Externí odkaz:
https://doaj.org/article/e619b550dcb746b4b36bb1e533446bbb
Autor:
Andrei I. Davydychev
It is shown how the geometrical splitting of N-point Feynman diagrams can be used to simplify the parametric integrals and reduce the number of variables in the occurring functions. As an example, a calculation of the dimensionally-regulated one-loop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87714248ce6065becea1dc015ba0d917
http://arxiv.org/abs/1711.07351
http://arxiv.org/abs/1711.07351
Autor:
Andrei I. Davydychev
A geometrical approach to the calculation of N-point Feynman diagrams is reviewed. It is shown that the geometrical splitting yields useful connections between Feynman integrals with different momenta and masses. It is demonstrated how these results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50942417c454a92f81130390455f7825
http://arxiv.org/abs/1605.04828
http://arxiv.org/abs/1605.04828
Publikováno v:
The European Physical Journal C. 19:99-104
We consider the impact of O(alpha^2) hadronic corrections to the energy spectrum of the decay electron in muon decay. We find that the correction can be described, within good approximation, by a linear function in the electron energy. Explicit expre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a775b123c148103e50523151fc607ee6
https://doi.org/10.1007/s100520100577
https://doi.org/10.1007/s100520100577
Autor:
Andrei I. Davydychev, M.Yu. Kalmykov
Publikováno v:
Nuclear Physics B - Proceedings Supplements. 89:283-288
Some problems related to construction of the epsilon-expansion of dimensionally regulated Feynman integrals are discussed. For certain classes of diagrams, an arbitrary term of the epsilon-expansion can be expressed in terms of log-sine integrals rel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fcf139f5bb983f42e578c1268d31dad
https://doi.org/10.1016/s0920-5632(00)00857-4
https://doi.org/10.1016/s0920-5632(00)00857-4
Publikováno v:
Nuclear Physics B. 554:391-414
By use of the threshold expansion we develop an algorithm for analytical evaluation, within dimensional regularization, of arbitrary terms in the expansion of the (two-loop) sunset diagram with general masses m_1, m_2 and m_3 near its threshold, i.e.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::403bd571a4f9a3178e81cff6cb1e0005
https://doi.org/10.1016/s0550-3213(99)00269-2
https://doi.org/10.1016/s0550-3213(99)00269-2
Publikováno v:
Physics Letters B. 426:95-104
Analytic results for the threshold and pseudothreshold values of the sunset diagram with arbitrary masses are obtained in terms of dilogarithms of ratios of the masses.
11 pages, plain LaTeX
11 pages, plain LaTeX
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::628bbd45de505ea310c4b3722d4a4897
https://doi.org/10.1016/s0370-2693(98)00166-x
https://doi.org/10.1016/s0370-2693(98)00166-x
Publikováno v:
CIÊNCIAVITAE
Scopus-Elsevier
Scopus-Elsevier
We review the calculation of one-loop contributions to the three-gluon vertex, for arbitrary (off-shell) external momenta, in arbitrary covariant gauge and in arbitrary space-time dimension. We discuss how one can get the results for all on-shell lim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1bcf331d73fb877f616ad05a31abd62
https://doi.org/10.1016/s0920-5632(96)90038-9
https://doi.org/10.1016/s0920-5632(96)90038-9
Publikováno v:
Nuclear Physics B. 478:59-89
The behaviour of two-loop two-point diagrams at non-zero thresholds corresponding to two-particle cuts is analyzed. The masses involved in a cut and the external momentum are assumed to be small as compared to some of the other masses of the diagram.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d67263bdfc7473d5b55a6b270975448f
https://doi.org/10.1016/0550-3213(96)00333-1
https://doi.org/10.1016/0550-3213(96)00333-1