One-loop Feynman integrals with Carlson hypergeometric functions
نویسندگان
چکیده
منابع مشابه
Structure of logarithmically divergent one-loop lattice Feynman integrals
For logarithmically divergent one-loop lattice Feynman integrals I(p, a), subject to mild general conditions, we prove the following expected and crucial structural result: I(p, a) = f(p) log(aM) + g(p) + h(p,M) up to terms which vanish for lattice spacing a → 0. Here p denotes collectively the external momenta and M is a mass scale which may be chosen arbitrarily. The f(p) and h(p,M) are shown...
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We prove that logarithmically divergent one-loop lattice Feynman integrals have the general form I(p,a) = f (p) log(aM) + g(p,M) up to terms which vanish for lattice spacing a → 0. Here p denotes collectively the external momenta and M is an arbitrary mass scale. The f (p) is shown to be universal and to coincide with the analogous quantity in the corresponding continuum integral (regularized, ...
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ژورنال
عنوان ژورنال: EPJ Web of Conferences
سال: 2019
ISSN: 2100-014X
DOI: 10.1051/epjconf/201920602005