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Hi everyone,
I'm studying the scalar three-point function
C0[m^2, M^2, s, m^2, 0, M^2]evaluated at different values of
s, both at the thresholds = (M + m)^2and for generic values withs >= (M + m)^2.Evaluating it at the threshold using
PaXEvaluateandPaXSeriesyields a finite result apart from the expected IR divergence. Code used:However, starting from the generic expression for$s \geq (M + m)^2$ and taking the limit $s \to (M + m)^2$ by introducing a small positive parameter
Ev, produces a different result that includes an extra term diverging at threshold:This additional divergent term does not appear when evaluating directly at the threshold.
I would appreciate any insight on why these two approaches yield different results. Could this discrepancy be due to how the series expansion or limit is handled, a typo, or am I missing something fundamental?
Thanks in advance!
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