diff --git a/doc/pdfs/CC_observables_def.pdf b/doc/pdfs/CC_observables_def.pdf index d255e70e..01dc4bc6 100644 Binary files a/doc/pdfs/CC_observables_def.pdf and b/doc/pdfs/CC_observables_def.pdf differ diff --git a/doc/pdfs/Complex_DGLAP.pdf b/doc/pdfs/Complex_DGLAP.pdf index dc25050c..20decdc5 100644 Binary files a/doc/pdfs/Complex_DGLAP.pdf and b/doc/pdfs/Complex_DGLAP.pdf differ diff --git a/doc/pdfs/DIS.pdf b/doc/pdfs/DIS.pdf index 5947aeab..765b1bd9 100644 Binary files a/doc/pdfs/DIS.pdf and b/doc/pdfs/DIS.pdf differ diff --git a/doc/pdfs/Evolution_code.pdf b/doc/pdfs/Evolution_code.pdf index a32a894c..e5e741f3 100644 Binary files a/doc/pdfs/Evolution_code.pdf and b/doc/pdfs/Evolution_code.pdf differ diff --git a/doc/pdfs/Lagrange_derivative.pdf b/doc/pdfs/Lagrange_derivative.pdf index 405aefac..890e1a2b 100644 Binary files a/doc/pdfs/Lagrange_derivative.pdf and b/doc/pdfs/Lagrange_derivative.pdf differ diff --git a/doc/pdfs/Luminosities.pdf b/doc/pdfs/Luminosities.pdf index 3b2c75e4..03d5886f 100644 Binary files a/doc/pdfs/Luminosities.pdf and b/doc/pdfs/Luminosities.pdf differ diff --git a/doc/pdfs/QCD_QED_common_basis.pdf b/doc/pdfs/QCD_QED_common_basis.pdf index 1aaa863f..e21d1832 100644 Binary files a/doc/pdfs/QCD_QED_common_basis.pdf and b/doc/pdfs/QCD_QED_common_basis.pdf differ diff --git a/doc/pdfs/TruncatedSolution.pdf b/doc/pdfs/TruncatedSolution.pdf index 04a8f2aa..a5c788d8 100644 Binary files a/doc/pdfs/TruncatedSolution.pdf and b/doc/pdfs/TruncatedSolution.pdf differ diff --git a/doc/pdfs/intrinsic_charm.pdf b/doc/pdfs/intrinsic_charm.pdf index 67d69864..74db6a74 100644 Binary files a/doc/pdfs/intrinsic_charm.pdf and b/doc/pdfs/intrinsic_charm.pdf differ diff --git a/doc/pdfs/manual.pdf b/doc/pdfs/manual.pdf index 1d3339f6..a32cee12 100644 Binary files a/doc/pdfs/manual.pdf and b/doc/pdfs/manual.pdf differ diff --git a/doc/pdfs/matching_conditions.pdf b/doc/pdfs/matching_conditions.pdf index c5d3c12f..d583f33b 100644 Binary files a/doc/pdfs/matching_conditions.pdf and b/doc/pdfs/matching_conditions.pdf differ diff --git a/doc/pdfs/running_mass.pdf b/doc/pdfs/running_mass.pdf index 9dc9cd60..52ae4ad0 100644 Binary files a/doc/pdfs/running_mass.pdf and b/doc/pdfs/running_mass.pdf differ diff --git a/doc/sources/DIS.tex b/doc/sources/DIS.tex index e5808b8a..e972056c 100644 --- a/doc/sources/DIS.tex +++ b/doc/sources/DIS.tex @@ -492,7 +492,7 @@ \subsubsection{Charged Current Coefficient Functions} z)}{1-z}\right]_++ 2\left(-1+\ln\frac{K_F^2}{\lambda}\right)\left[\frac{1}{1-z}\right]_+\\ \\ &+& \displaystyle - \frac{\lambda-1}{\lambda^2}\left[\frac{1}{1-\lambda z}\right]_+ + \frac{\lambda-1}{\lambda^2}\left[\frac{1}{1-\lambda z}\right] +\frac{1}{2}\left[\frac{1-z}{(1-\lambda z)^2}\right]_+\bigg\} \end{array}\,, \end{equation} @@ -509,7 +509,7 @@ \subsubsection{Charged Current Coefficient Functions} 2\left(-1+\ln\frac{K_F^2}{\lambda}\right)\left[\frac{1}{1-z}\right]_+\\ \\ &+& \displaystyle \frac{2\lambda^2-\lambda-1}{\lambda}\left[\frac{1}{1-\lambda - z}\right]_+ +\frac{1}{2}\left[\frac{1-z}{(1-\lambda + z}\right] +\frac{1}{2}\left[\frac{1-z}{(1-\lambda z)^2}\right]_+\bigg\} \end{array}\,, \end{equation} @@ -525,7 +525,7 @@ \subsubsection{Charged Current Coefficient Functions} \left[\frac{2\ln(1-z)-\ln(1-\lambda z)}{1-z}\right]_++ 2\left(-1+\ln\frac{K_F^2}{\lambda}\right)\left[\frac{1}{1-z}\right]_+\\ \\ &+& \displaystyle \frac{\lambda-1}{\lambda}\left[\frac{1}{1-\lambda - z}\right]_+ +\frac{1}{2}\left[\frac{1-z}{(1-\lambda + z}\right] +\frac{1}{2}\left[\frac{1-z}{(1-\lambda z)^2}\right]_+\bigg\} \end{array}\,, \end{equation} @@ -541,7 +541,7 @@ \subsubsection{Charged Current Coefficient Functions} z)\right)(1+z)+3\\ \\ &+&\displaystyle 2 \left[\frac{2\ln(1-z)-\ln(1-\lambda z)}{1-z}\right]_++ 2 \left(-1+\ln\frac{K_F^2}{\lambda}\right)\left[\frac{1}{1-z}\right]_+\\ - \\ &-& \displaystyle 2\left[\frac{1}{1-\lambda z}\right]_+ + \\ &-& \displaystyle 2\left[\frac{1}{1-\lambda z}\right] +\frac{1}{2}\left[\frac{1-z}{(1-\lambda z)^2}\right]_+\bigg\} + 2C_F \left[\lambda K_A \delta(1-z) + (1+\lambda)z\right] \end{array}\,. @@ -574,10 +574,6 @@ \subsubsection{Charged Current Coefficient Functions} -\int_0^xdz\frac{\ln(1-z)}{1-z} = \frac12 \ln^2(1-x)\,, \end{equation} -\begin{equation} - -\int_0^x\frac{dz}{1-\lambda z} = - \frac{1}{\lambda}\ln(1-\lambda x)\,, -\end{equation} \begin{equation} -\int_0^xdz\frac{1-z}{(1-\lambda z)^2} = \frac{1}{\lambda^2}\ln(1-\lambda @@ -598,8 +594,7 @@ \subsubsection{Charged Current Coefficient Functions} C^{(1)}_{1,q}&\rightarrow& \displaystyle C^{(1)}_{1,q} + 2C_F\bigg[2\ln^2(1-x)-2R(x)+2\left(-1+\ln\frac{K_F^2}{\lambda}\right)\ln(1-x)\\ - \\ &&\displaystyle +\frac{\lambda-1}{\lambda^3}\ln(1-\lambda - x)+\frac{1}{2\lambda^2}\ln(1-\lambda + \\ &&\displaystyle +\frac{1}{2\lambda^2}\ln(1-\lambda x)+\frac{1-\lambda}{2\lambda}\frac{x}{1-\lambda x}\bigg]\delta(1-z) \end{array}\,, \end{equation} @@ -609,8 +604,7 @@ \subsubsection{Charged Current Coefficient Functions} C^{(1)}_{2,q} + 2C_F\bigg[2\ln^2(1-x)-2R(x)+2\left(-1+\ln\frac{K_F^2}{\lambda}\right)\ln(1-x)\\ \\ &&\displaystyle - +\frac{2\lambda^2-\lambda-1}{\lambda^2}\ln(1-\lambda - x)+\frac{1}{2\lambda^2}\ln(1-\lambda + +\frac{1}{2\lambda^2}\ln(1-\lambda x)+\frac{1-\lambda}{2\lambda}\frac{x}{1-\lambda x}\bigg]\delta(1-z) \end{array}\,, \end{equation} @@ -619,8 +613,7 @@ \subsubsection{Charged Current Coefficient Functions} C^{(1)}_{3,q}&\rightarrow& \displaystyle C^{(1)}_{3,q} + 2C_F\bigg[2\ln^2(1-x)-2R(x)+2\left(-1+\ln\frac{K_F^2}{\lambda}\right)\ln(1-x)\\ - \\ &&\displaystyle +\frac{\lambda-1}{\lambda^2}\ln(1-\lambda - x)+\frac{1}{2\lambda^2}\ln(1-\lambda + \\ &&\displaystyle +\frac{1}{2\lambda^2}\ln(1-\lambda x)+\frac{1-\lambda}{2\lambda}\frac{x}{1-\lambda x}\bigg]\delta(1-z) \end{array}\,, \end{equation} @@ -629,8 +622,7 @@ \subsubsection{Charged Current Coefficient Functions} C^{(1)}_{L,q}&\rightarrow& \displaystyle C^{(1)}_{L,q} + 2C_F(1-\lambda)\bigg[2\ln^2(1-x)-2R(x)+2\left(-1+\ln\frac{K_F^2}{\lambda}\right)\ln(1-x)\\ - \\ &&\displaystyle -\frac{2}{\lambda}\ln(1-\lambda - x)+\frac{1}{2\lambda^2}\ln(1-\lambda + \\ &&\displaystyle +\frac{1}{2\lambda^2}\ln(1-\lambda x)+\frac{1-\lambda}{2\lambda}\frac{x}{1-\lambda x}\bigg]\delta(1-z) \end{array}\,. \end{equation}