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| Home > Publications database > honeycomb; a program for evolution of twist-3 parton distribution functions |
| Software | PUBDB-2024-01600 |
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2024
Abstract: **Nature of the problem:**The aim is to develop a code that allows for the evaluation of the evolution equations for the twist-3 parton distributions at LO in the strong coupling with a variable number of flavors. Standard techniques that have been developed for the twist-2 case cannot be straightforwardly applied because of the increased dimensionality of the problem. The balance between performance, memory requirements and accuracy becomes even more important and difficult to achieve. **Solution method** 1) The choice of coordinates. We parametrize the plane defined by momentum conservation $x_1+x_2+x_3=0$ using radial-angular coordinates in the infinite norm (rather than the Euclidean norm), since it respects the symmetries of the problem. 2) We discretize the radial and angular coordinates. Different grids are provided, the radial grids especially are chosen to have a high density near the origin. 3) The parton distributions are linearly interpolated in grid space. 4) The coupled integro-differential evolution equations are transformed into a system of coupled differential equations and are solved using the 4th-order Runge-Kutta method.
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