A Feynman integral depending on two elliptic curves

被引：0
|
作者：
Hildegard Müller
Stefan Weinzierl
机构：
[1] Johannes Gutenberg-Universität Mainz,PRISMA Cluster of Excellence, Institut für Physik
来源：
Journal of High Energy Physics | / 2022卷
关键词：
Higher Order Electroweak Calculations; Higher-Order Perturbative Calculations; Scattering Amplitudes;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an ε-form. We study the entries of the differential equation, and in particular the entries which depend on both elliptic curves.
引用
收藏
相关论文
共 50 条
  • [1] A Feynman integral depending on two elliptic curves
    Mueller, Hildegard
    Weinzierl, Stefan
    JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (07)
  • [2] Nonlinear Elliptic Equation with Nonlocal Integral Boundary Condition Depending on Two Parameters
    Pupalaige, Kristina
    Sapagovas, Mifodijus
    Ciupaila, Regimantas
    MATHEMATICAL MODELLING AND ANALYSIS, 2022, 27 (04) : 610 - 628
  • [3] Two-loop integral reduction from elliptic and hyperelliptic curves
    Alessandro Georgoudis
    Yang Zhang
    Journal of High Energy Physics, 2015, 2015 : 1 - 26
  • [4] Two-loop integral reduction from elliptic and hyperelliptic curves
    Georgoudis, Alessandro
    Zhang, Yang
    JOURNAL OF HIGH ENERGY PHYSICS, 2015, (12): : 1 - 26
  • [5] THE FEYNMAN INTEGRAL OF QUADRATIC POTENTIALS DEPENDING ON 2 TIME VARIABLES
    CHANG, KS
    JOHNSON, GW
    SKOUG, DL
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1985, 21 (01) : 29 - 29
  • [6] THE FEYNMAN INTEGRAL OF QUADRATIC POTENTIALS DEPENDING ON 2 TIME VARIABLES
    CHANG, KS
    JOHNSON, GW
    SKOUG, DL
    PACIFIC JOURNAL OF MATHEMATICS, 1986, 122 (01) : 11 - 33
  • [7] Multiples of integral points on elliptic curves
    Ingram, Patrick
    JOURNAL OF NUMBER THEORY, 2009, 129 (01) : 182 - 208
  • [8] Integral points on certain elliptic curves
    Zhu, Flui Lin
    Chen, Jian Hua
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2008, 119 : 1 - 20
  • [9] Simple differential equations for Feynman integrals associated to elliptic curves
    Weinzierl, Stefan
    14TH INTERNATIONAL SYMPOSIUM ON RADIATIVE CORRECTIONS, RADCOR2019, 2020,
  • [10] THE FEYNMAN INTEGRAL OF QUADRATIC POTENTIALS DEPENDING ON N-TIME VARIABLES
    PARK, C
    SKOUG, D
    NAGOYA MATHEMATICAL JOURNAL, 1988, 110 : 151 - 162
12345