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APFEL 4.8.0
A PDF evolution library in C++
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APFEL 4.8.0
A PDF evolution library in C++
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Topics | |
| Time-like matching functions | |
| Space-like matching functions | |
The perturbative matching functions for PDFs and FFs (references: https://arxiv.org/pdf/2012.03256.pdf, https://arxiv.org/pdf/1604.07869.pdf, and https://arxiv.org/pdf/1706.01473.pdf). Notice that the expressions for FFs are implicitly multiplied by a factor x2. This is because the convolution with FFs has the form:
![$D(x) = C(x) \otimes d(x) / x^2 = (1/x^2) \int_x^1 (dy/y) [y^2 C(y)] d(x/y)$](form_9_dark.png)
For the implementation of the O(αs2) and O(αs3) expressions I have used the parameterization provided with https://arxiv.org/pdf/2012.03256.pdf. A notebook with the expressions can be found in docs/latex/src/codes/.
1.11.0