|Britto, Ruth; Feng, Bo; Yang, Gang; Britto, R , Univ Amsterdam, Inst Theoret Phys, Valckenierstr 65, NL-1018 XE Amsterdam, Netherlands
|Polynomial structures in one-loop amplitudes|
|Source Publication||JOURNAL OF HIGH ENERGY PHYSICS
|Abstract||A general one-loop scattering amplitude may be expanded in terms of master integrals. The coefficients of the master integrals can be obtained from tree-level input in a two-step process. First, use known formulas to write the coefficients of (4-2 is an element of)-dimensional master integrals; these formulas depend on an additional variable, u, which encodes the dimensional shift. Second, convert the u-dependent coefficients of (4-2 is an element of)-dimensional master integrals to explicit coefficients of dimensionally shifted master integrals. This procedure requires the initial formulas for coefficients to have polynomial dependence on u. Here, we give a proof of this property in the case of massless propagators. The proof is constructive. Thus, as a byproduct, we produce different algebraic expressions for the scalar integral coefficients, in which the polynomial property is apparent. In these formulas, the box and pentagon contributions are separated explicitly.|
|Corresponding Author||Britto, R , Univ Amsterdam, Inst Theoret Phys, Valckenierstr 65, NL-1018 XE Amsterdam, Netherlands|
Britto, Ruth,Feng, Bo,Yang, Gang,et al. Polynomial structures in one-loop amplitudes[J]. JOURNAL OF HIGH ENERGY PHYSICS,2008(9):-.
Britto, Ruth,Feng, Bo,Yang, Gang,&Britto, R , Univ Amsterdam, Inst Theoret Phys, Valckenierstr 65, NL-1018 XE Amsterdam, Netherlands.(2008).Polynomial structures in one-loop amplitudes.JOURNAL OF HIGH ENERGY PHYSICS(9),-.
Britto, Ruth,et al."Polynomial structures in one-loop amplitudes".JOURNAL OF HIGH ENERGY PHYSICS .9(2008):-.
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