Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The electron self-energy in QED at two loops revisited   We reconsider the two-loop electron self-energy in quantum electrodynamics.
We present a modern calculation, where all relevant two-loop integrals are
expressed in terms of iterated integrals of modular forms. As boundary points
of the iterated integrals we consider the four cases $p^2=0$, $p^2=m^2$,
$p^2=9m^2$ and $p^2=\infty$. The iterated integrals have $q$-expansions, which
can be used for the numerical evaluation. We show that a truncation of the
$q$-series to order ${\mathcal O}(q^{30})$ gives numerically for the finite
part of the self-energy a relative precision better than $10^{-20}$ for all
real values $p^2/m^2$.

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The categories of this paper are: eess
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat