Wednesday, September 5, 2012

1209.0339 (Roman N. Lee et al.)

The Dimensional Recurrence and Analyticity Method for Multicomponent
Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions
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Roman N. Lee, Vladimir A. Smirnov
We consider the application of the DRA method to the case of several master integrals in a given sector. We establish a connection between the homogeneous part of dimensional recurrence and maximal unitarity cuts of the corresponding integrals: a maximally cut master integral appears to be a solution of the homogeneous part of the dimensional recurrence relation. This observation allows us to make a necessary step of the DRA method, the construction of the general solution of the homogeneous equation, which, in this case, is a coupled system of difference equations.
View original: http://arxiv.org/abs/1209.0339

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