Abstract
AbstractWe consider multi-edge or banana graphs $$b_n$$
b
n
on n internal edges $$e_i$$
e
i
with different masses $$m_i$$
m
i
. We focus on the cut banana graphs $$\Im (\Phi _R(b_n))$$
ℑ
(
Φ
R
(
b
n
)
)
from which the full result $$\Phi _R(b_n)$$
Φ
R
(
b
n
)
can be derived through dispersion. We give a recursive definition of $$\Im (\Phi _R(b_n))$$
ℑ
(
Φ
R
(
b
n
)
)
through iterated integrals. We discuss the structure of this iterated integral in detail. A discussion of accompanying differential equations, of monodromy and of a basis of master integrals is included.
Funder
Humboldt-Universität zu Berlin
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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