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On the status of expansion by regions
We discuss the status of expansion by regions, i.e. a well-known strategy to
obtain an expansion of a given multiloop Feynman integral in a given limit
where some kinematic invariants and/or masses have certain scaling measured in
powers of a given small parameter. Using the Lee-Pomeransky parametric
representation, we formulate the corresponding prescriptions in a simple
geometrical language and make a conjecture that they hold even in a much more
general case. We prove this conjecture in some partial cases and illustrate
them in a simple example.Comment: Published version: presentation improved, Section 7 delete
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