Merge pull request #1 from vbertone/master

Fixing bug in the massive NLO CC coefficient functions
vbertone · Sep 24, 2020 · 2d3c7a8 · 2d3c7a8
2 parents 80c83e3 + 1e057d4
commit 2d3c7a8
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Showing 13 changed files with 8 additions and 16 deletions.
diff --git a/doc/pdfs/CC_observables_def.pdf b/doc/pdfs/CC_observables_def.pdf
diff --git a/doc/pdfs/Complex_DGLAP.pdf b/doc/pdfs/Complex_DGLAP.pdf
diff --git a/doc/pdfs/DIS.pdf b/doc/pdfs/DIS.pdf
diff --git a/doc/pdfs/Evolution_code.pdf b/doc/pdfs/Evolution_code.pdf
diff --git a/doc/pdfs/Lagrange_derivative.pdf b/doc/pdfs/Lagrange_derivative.pdf
diff --git a/doc/pdfs/Luminosities.pdf b/doc/pdfs/Luminosities.pdf
diff --git a/doc/pdfs/QCD_QED_common_basis.pdf b/doc/pdfs/QCD_QED_common_basis.pdf
diff --git a/doc/pdfs/TruncatedSolution.pdf b/doc/pdfs/TruncatedSolution.pdf
diff --git a/doc/pdfs/intrinsic_charm.pdf b/doc/pdfs/intrinsic_charm.pdf
diff --git a/doc/pdfs/manual.pdf b/doc/pdfs/manual.pdf
diff --git a/doc/pdfs/matching_conditions.pdf b/doc/pdfs/matching_conditions.pdf
diff --git a/doc/pdfs/running_mass.pdf b/doc/pdfs/running_mass.pdf
diff --git 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}