The hypergeometric system for one-loop triangle integral
2019 ◽
Vol 34
(35)
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pp. 1950232
Keyword(s):
We derive the holonomic hypergeometric system for the [Formula: see text] function with two equal virtual masses, and present the expression of [Formula: see text] in hypergeometric series in corresponding convergent region. Combining the Horn’s convergence theory with Gröbner basis of polynomial ideal, one can calculate the convergence region of the corresponding multiple series concretely. Using the system given here, one can analytically continue [Formula: see text] to whole parameter space.
2009 ◽
Vol 2
(4)
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pp. 601-634
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2013 ◽
Vol 24
(2)
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Keyword(s):
1994 ◽
Vol 57
(3)
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pp. 281-294
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2010 ◽
Vol 13
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pp. 111-129
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1988 ◽
Vol 6
(1)
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pp. 37-57
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2017 ◽
Vol 30
(1)
◽
pp. 196-233
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2014 ◽
Vol 13
(06)
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pp. 1450003
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Keyword(s):
Keyword(s):