Geodesic
Asymptotics of Feynman integrals in the one-dimensional case
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 46-50 
T. Yu. Semenova. Asymptotics of Feynman integrals in the one-dimensional case. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 46-50. http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a6/
@article{VMUMM_2019_4_a6,
     author = {T. Yu. Semenova},
     title = {Asymptotics of {Feynman} integrals in the one-dimensional case},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {46--50},
     year = {2019},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a6/}
}
TY  - JOUR
AU  - T. Yu. Semenova
TI  - Asymptotics of Feynman integrals in the one-dimensional case
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2019
SP  - 46
EP  - 50
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a6/
LA  - ru
ID  - VMUMM_2019_4_a6
ER  - 
%0 Journal Article
%A T. Yu. Semenova
%T Asymptotics of Feynman integrals in the one-dimensional case
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2019
%P 46-50
%N 4
%U http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a6/
%G ru
%F VMUMM_2019_4_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

The asymptotics of the Feynman integrals of the form $\mathcal{F}(t)=\int\limits_{0}^{+\infty}(P(x,t))^{-\lambda}dx$ is studied for $t\rightarrow +0$. The first term of the asymptotics is calculated in the general case and a method for obtaining a complete asymptotic expansion in the case of one essential face is presented.

[1] Beneke M., Smirnov V. A., “Asymptotic expansion of Feynman integrals near threshold”, Nucl. Phys. B, 522 (1998), 321–344 | DOI | MR

[2] Pak A., Smirnov A. V., “Geometric approach to asymptotic expansion of Feynman integrals”, Eur. Phys. J. C, 71 (2011), 1626–1631 | DOI | MR

[3] Lee R. N., Pomeransky A. A., Normalized Fuchsian form on Riemann sphere and differential equations for multiloop integrals, arXiv: 1707.07856 [hep-th]

[4] Semenova T. Yu., Smirnov A. V., Smirnov V. A., “On the status of expansion by regions”, Eur. Phys. J. C, 79 (2019), 136–147 | DOI