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Alberto Ramos Martinez
ScaleErrors.jl
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8fe0a614
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8fe0a614
authored
4 years ago
by
Alberto Ramos
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Typos in README
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@@ -50,17 +50,14 @@ theory (this is equivalent to $`\alpha_{\overline{\rm MS}
}^{(5)}(M_Z) \approx 0.1185`
$). Then the software prooceeds as follows
1.
The basic perturbative relation
```
math
O(Q) = \alpha_{\overline{\rm MS} }(s\mu) + \sum_{k=2}^{n_l} c_k(s)
\alpha_{\overline{\rm MS} }^k(\mu) + ...
O(Q) = \alpha_{\overline{\rm MS} }(s\mu) + \sum_{k=2}^{n_l} c_k(s) \alpha_{\overline{\rm MS} }^k(\mu) + ...
```
is constructed from the input perturbative coefficients $
`c_n(1)`
$.
1.
The value $
`O_{\rm ref}(Q)`
$ where the extraction of
$
`\alpha_s`
$ takes place is computed from the previous epression and
a reference value $
`s_{\rm ref}`
$:
```
math
O_{\rm ref}(Q) = \alpha_{\overline{\rm MS} }(s_{\rm ref}\mu) +
\sum_{k=2}^{n_l} c_k(s_{\rm ref})
\alpha_{\overline{\rm MS} }^k(s_{\rm ref}\mu)
O_{\rm ref}(Q) = \alpha_{\overline{\rm MS} }(s_{\rm ref}\mu) + \sum_{k=2}^{n_l} c_k(s_{\rm ref}) \alpha_{\overline{\rm MS} }^k(s_{\rm ref}\mu)
```
1.
The values of $
`\alpha_{\overline{\rm MS} }(s\mu)`
$ are extracted
from $
`O_{\rm ref}`
$ for different choices of $
`s`
$ from the basic
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