diff --git a/GeneratorInterface/Pythia8Interface/plugins/ReweightUserHooks.h b/GeneratorInterface/Pythia8Interface/plugins/ReweightUserHooks.h
index 886e5faac1c16..3e3d2897bf2c6 100644
--- a/GeneratorInterface/Pythia8Interface/plugins/ReweightUserHooks.h
+++ b/GeneratorInterface/Pythia8Interface/plugins/ReweightUserHooks.h
@@ -27,7 +27,7 @@ class PtHatReweightUserHook : public Pythia8::UserHooks {
 class PtHatEmpReweightUserHook : public Pythia8::UserHooks {
 public:
   PtHatEmpReweightUserHook(const std::string& tuneName = "") {
-    if (tuneName == "CP5")
+    if (tuneName == "CP5" || tuneName == "CP5Run3")
       p = {7377.94700788, 8.38168461349, -4.70983112392, -0.0310148108446, -0.028798537937, 925.335472326};
     //Default reweighting - works good for tune CUEPT8M1
     else
@@ -37,9 +37,10 @@ class PtHatEmpReweightUserHook : public Pythia8::UserHooks {
            -5.1575514014931e-01,
            5.5951279807561e-02,
            3.5e+02};
-    sigma = [this](double x) -> double {
+    const double ecms = (tuneName == "CP5Run3" ? 13600. : 13000.);
+    sigma = [this, ecms](double x) -> double {
       return (p[0] * pow(x, p[2] + p[3] * log(0.01 * x) + p[4] * pow(log(0.01 * x), 2)) *
-              pow(1 - 2 * x / (13000. + p[5]), p[1])) *
+              pow(1 - 2 * x / (ecms + p[5]), p[1])) *
              x;
     };
   }