Add observables list (plus more?) to smelli website

_make_obs_list.py

@@ -0,0 +1,67 @@
+from os import makedirs
+from itertools import chain
+import smelli
+import flavio
+
+base_dir = "obs"
+smelli_ver = smelli.__version__
+folder = f"{base_dir}/{smelli_ver}"
+makedirs(folder, exist_ok=True)
+
+observables_header = """---
+layout: default
+title: Observables - {0}
+---
+
+# List of all observables included in {0}
+
+{{: class="table"}}
+| Symbol | Name | Arguments | SM Prediction | Exp refs |
+|--------|------|-----------|---------------|----------|
+"""
+
+gl = smelli.GlobalLikelihood()
+for ll_name, ll in chain(gl.likelihoods.items(), gl.fast_likelihoods.items()):
+    print(f"Writing {ll_name}")
+    with open(f"{folder}/{ll_name}.md", "w") as f:
+        f.write(observables_header.format(ll_name))
+        for obs_info in ll.observables:
+            # Either a string with the name of the obs, or a tuple whose first 
+            # element is the name, and others are the arguments passed.
+            # For python3.10+, we can use match case since I just think they're neat
+            match obs_info:
+                case (name, *args):
+                    pass
+                case name:
+                    args = None
+            o = flavio.Observable[name]
+            text = f"| {o.tex} | `{o.name}` | "
+            if args:
+                args_info = zip(o.arguments, args)
+                text += ", ".join(f"{name} = {value}" for name, value in args_info)
+            text += " |"
+            if args:
+                sm = flavio.sm_prediction(name, *args)
+            else:
+                sm = flavio.sm_prediction(name)
+            text += f"{sm} |"
+            text += ",".join(flavio.Measurement[m].inspire for m in (set(o.get_measurements()) & set(ll.include_measurements)))
+            text += " | \n"
+            f.write(text)
+
+
+
+index_header = """---
+layout: default
+title: Likelihoods in smelli v{0}
+---
+
+# List of likelihoods in smelli v{0}
+
+"""
+
+print(f"Writing index for smelli v{smelli_ver}")
+with open(f"{folder}/index.md", "w") as f:
+    f.write(index_header.format(smelli_ver))
+    for ll_name in chain(gl.likelihoods.keys(), gl.fast_likelihoods.keys()):
+        f.write("[{0}]({0})\n\n".format(ll_name))

index.md

@@ -26,6 +26,8 @@ python3 -m pip install smelli --user
 
 A brief user manual can be found in the paper cited below.
 
+A list of observables included in each likelihood in the current version can be found [here](obs/current/).
+
 ## Citation
 
 If you use `smelli` in a scientific publication, please cite

obs/2.3.2/fast_likelihood_leptons.yaml.md

@@ -0,0 +1,17 @@
+---
+layout: default
+title: Observables - fast_likelihood_leptons.yaml
+---
+
+# List of all observables included in fast_likelihood_leptons.yaml
+
+{: class="table"}
+| Symbol | Name | Arguments |
+|------|--------|--------------|
+| $\text{BR}(\tau^-\to e^- \nu\bar\nu)$ | `BR(tau->enunu)` |  |
+| $\text{BR}(\tau^-\to \mu^- \nu\bar\nu)$ | `BR(tau->mununu)` |  |
+| $\text{BR}(\tau^+\to \pi^+\bar\nu)$ | `BR(tau->pinu)` |  |
+| $\text{BR}(\tau^+\to K^+\bar\nu)$ | `BR(tau->Knu)` |  |
+| $a_e$ | `a_e` |  |
+| $a_\mu$ | `a_mu` |  |
+| $a_\tau$ | `a_tau` |  |

obs/2.3.2/index.md

@@ -0,0 +1,33 @@
+---
+layout: default
+title: Likelihoods in smelli v2.3.2
+---
+
+# List of likelihoods in smelli v2.3.2
+
+[likelihood_ewpt.yaml](likelihood_ewpt.yaml)
+
+[likelihood_eeww.yaml](likelihood_eeww.yaml)
+
+[likelihood_lept.yaml](likelihood_lept.yaml)
+
+[likelihood_rd_rds.yaml](likelihood_rd_rds.yaml)
+
+[likelihood_lfu_fccc.yaml](likelihood_lfu_fccc.yaml)
+
+[likelihood_lfu_fcnc.yaml](likelihood_lfu_fcnc.yaml)
+
+[likelihood_bcpv.yaml](likelihood_bcpv.yaml)
+
+[likelihood_bqnunu.yaml](likelihood_bqnunu.yaml)
+
+[likelihood_lfv.yaml](likelihood_lfv.yaml)
+
+[likelihood_zlfv.yaml](likelihood_zlfv.yaml)
+
+[likelihood_higgs.yaml](likelihood_higgs.yaml)
+
+[fast_likelihood_quarks.yaml](fast_likelihood_quarks.yaml)
+
+[fast_likelihood_leptons.yaml](fast_likelihood_leptons.yaml)
+

obs/2.3.2/likelihood_bcpv.yaml.md

@@ -0,0 +1,16 @@
+---
+layout: default
+title: Observables - likelihood_bcpv.yaml
+---
+
+# List of all observables included in likelihood_bcpv.yaml
+
+{: class="table"}
+| Symbol | Name | Arguments |
+|------|--------|--------------|
+| $\langle A_7\rangle(B^0\to K^{\ast 0}\mu^+\mu^-)$ | `<A7>(B0->K*mumu)` | q2min = 1.1, q2max = 6 |
+| $\langle A_7\rangle(B^0\to K^{\ast 0}\mu^+\mu^-)$ | `<A7>(B0->K*mumu)` | q2min = 15, q2max = 19 |
+| $\langle A_8\rangle(B^0\to K^{\ast 0}\mu^+\mu^-)$ | `<A8>(B0->K*mumu)` | q2min = 1.1, q2max = 6 |
+| $\langle A_8\rangle(B^0\to K^{\ast 0}\mu^+\mu^-)$ | `<A8>(B0->K*mumu)` | q2min = 15, q2max = 19 |
+| $\langle A_9\rangle(B^0\to K^{\ast 0}\mu^+\mu^-)$ | `<A9>(B0->K*mumu)` | q2min = 1.1, q2max = 6 |
+| $\langle A_9\rangle(B^0\to K^{\ast 0}\mu^+\mu^-)$ | `<A9>(B0->K*mumu)` | q2min = 15, q2max = 19 |

obs/2.3.2/likelihood_bqnunu.yaml.md

@@ -0,0 +1,18 @@
+---
+layout: default
+title: Observables - likelihood_bqnunu.yaml
+---
+
+# List of all observables included in likelihood_bqnunu.yaml
+
+{: class="table"}
+| Symbol | Name | Arguments |
+|------|--------|--------------|
+| $\text{BR}(B^+\to K^{*+}\nu\bar\nu)$ | `BR(B+->K*nunu)` |  |
+| $\text{BR}(B^0\to K^{*0}\nu\bar\nu)$ | `BR(B0->K*nunu)` |  |
+| $\text{BR}(B^+\to K^+\nu\bar\nu)$ | `BR(B+->Knunu)` |  |
+| $\text{BR}(B^0\to K^0\nu\bar\nu)$ | `BR(B0->Knunu)` |  |
+| $\text{BR}(B^+\to \pi^+\nu\bar\nu)$ | `BR(B+->pinunu)` |  |
+| $\text{BR}(B^0\to \pi^0\nu\bar\nu)$ | `BR(B0->pinunu)` |  |
+| $\text{BR}(B^+\to \rho^{+}\nu\bar\nu)$ | `BR(B+->rhonunu)` |  |
+| $\text{BR}(B^0\to \rho^{0}\nu\bar\nu)$ | `BR(B0->rhonunu)` |  |

obs/2.3.2/likelihood_eeww.yaml.md

@@ -0,0 +1,58 @@
+---
+layout: default
+title: Observables - likelihood_eeww.yaml
+---
+
+# List of all observables included in likelihood_eeww.yaml
+
+{: class="table"}
+| Symbol | Name | Arguments |
+|------|--------|--------------|
+| $R(e^+e^- \to W^+W^-)$ | `R(ee->WW)` | E = 182.7 |
+| $R(e^+e^- \to W^+W^-)$ | `R(ee->WW)` | E = 188.6 |
+| $R(e^+e^- \to W^+W^-)$ | `R(ee->WW)` | E = 191.6 |
+| $R(e^+e^- \to W^+W^-)$ | `R(ee->WW)` | E = 195.5 |
+| $R(e^+e^- \to W^+W^-)$ | `R(ee->WW)` | E = 199.5 |
+| $R(e^+e^- \to W^+W^-)$ | `R(ee->WW)` | E = 201.6 |
+| $R(e^+e^- \to W^+W^-)$ | `R(ee->WW)` | E = 204.9 |
+| $R(e^+e^- \to W^+W^-)$ | `R(ee->WW)` | E = 206.6 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 182.66, thetamin = -1.0, thetamax = -0.8 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 182.66, thetamin = -0.8, thetamax = -0.6 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 182.66, thetamin = -0.6, thetamax = -0.4 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 182.66, thetamin = -0.4, thetamax = -0.2 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 182.66, thetamin = -0.2, thetamax = 0.0 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 182.66, thetamin = 0.0, thetamax = 0.2 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 182.66, thetamin = 0.2, thetamax = 0.4 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 182.66, thetamin = 0.4, thetamax = 0.6 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 182.66, thetamin = 0.6, thetamax = 0.8 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 182.66, thetamin = 0.8, thetamax = 1.0 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 189.09, thetamin = -1.0, thetamax = -0.8 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 189.09, thetamin = -0.8, thetamax = -0.6 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 189.09, thetamin = -0.6, thetamax = -0.4 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 189.09, thetamin = -0.4, thetamax = -0.2 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 189.09, thetamin = -0.2, thetamax = 0.0 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 189.09, thetamin = 0.0, thetamax = 0.2 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 189.09, thetamin = 0.2, thetamax = 0.4 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 189.09, thetamin = 0.4, thetamax = 0.6 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 189.09, thetamin = 0.6, thetamax = 0.8 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 189.09, thetamin = 0.8, thetamax = 1.0 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 198.38, thetamin = -1.0, thetamax = -0.8 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 198.38, thetamin = -0.8, thetamax = -0.6 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 198.38, thetamin = -0.6, thetamax = -0.4 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 198.38, thetamin = -0.4, thetamax = -0.2 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 198.38, thetamin = -0.2, thetamax = 0.0 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 198.38, thetamin = 0.0, thetamax = 0.2 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 198.38, thetamin = 0.2, thetamax = 0.4 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 198.38, thetamin = 0.4, thetamax = 0.6 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 198.38, thetamin = 0.6, thetamax = 0.8 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 198.38, thetamin = 0.8, thetamax = 1.0 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 205.92, thetamin = -1.0, thetamax = -0.8 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 205.92, thetamin = -0.8, thetamax = -0.6 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 205.92, thetamin = -0.6, thetamax = -0.4 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 205.92, thetamin = -0.4, thetamax = -0.2 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 205.92, thetamin = -0.2, thetamax = 0.0 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 205.92, thetamin = 0.0, thetamax = 0.2 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 205.92, thetamin = 0.2, thetamax = 0.4 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 205.92, thetamin = 0.4, thetamax = 0.6 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 205.92, thetamin = 0.6, thetamax = 0.8 |
+| $\left\langle\frac{dR}{d\theta}\right\rangle(e^+e^- \to W^+W^-)$ | `<dR/dtheta>(ee->WW)` | E = 205.92, thetamin = 0.8, thetamax = 1.0 |

obs/2.3.2/likelihood_ewpt.yaml.md

@@ -0,0 +1,38 @@
+---
+layout: default
+title: Observables - likelihood_ewpt.yaml
+---
+
+# List of all observables included in likelihood_ewpt.yaml
+
+{: class="table"}
+| Symbol | Name | Arguments |
+|------|--------|--------------|
+| $\Gamma_Z$ | `GammaZ` |  |
+| $\sigma_\text{had}^0$ | `sigma_had` |  |
+| $R_ e^0$ | `R_e` |  |
+| $R_\mu^0$ | `R_mu` |  |
+| $R_\tau^0$ | `R_tau` |  |
+| $A_\text{FB}^{0, e}$ | `AFB(Z->ee)` |  |
+| $A_\text{FB}^{0,\mu}$ | `AFB(Z->mumu)` |  |
+| $A_\text{FB}^{0,\tau}$ | `AFB(Z->tautau)` |  |
+| $A_ e$ | `A(Z->ee)` |  |
+| $A_\mu$ | `A(Z->mumu)` |  |
+| $A_\tau$ | `A(Z->tautau)` |  |
+| $R_ b^0$ | `R_b` |  |
+| $R_ c^0$ | `R_c` |  |
+| $A_\text{FB}^{0, b}$ | `AFB(Z->bb)` |  |
+| $A_\text{FB}^{0, c}$ | `AFB(Z->cc)` |  |
+| $A_ b$ | `A(Z->bb)` |  |
+| $A_ c$ | `A(Z->cc)` |  |
+| $m_W$ | `m_W` |  |
+| $\Gamma_W$ | `GammaW` |  |
+| $\text{BR}(W^\pm\to  e^\pm\nu)$ | `BR(W->enu)` |  |
+| $\text{BR}(W^\pm\to \mu^\pm\nu)$ | `BR(W->munu)` |  |
+| $\text{BR}(W^\pm\to \tau^\pm\nu)$ | `BR(W->taunu)` |  |
+| $\text{R}(W^+\to cX)$ | `R(W->cX)` |  |
+| $\text{R}_{\mu  e}(W^\pm\to \ell^\pm\nu)$ | `Rmue(W->lnu)` |  |
+| $\text{R}_{\tau  e}(W^\pm\to \ell^\pm\nu)$ | `Rtaue(W->lnu)` |  |
+| $\text{R}_{\tau \mu}(W^\pm\to \ell^\pm\nu)$ | `Rtaumu(W->lnu)` |  |
+| $A_ s$ | `A(Z->ss)` |  |
+| $R_{uc}^0$ | `R_uc` |  |

obs/2.3.2/likelihood_higgs.yaml.md

@@ -0,0 +1,43 @@
+---
+layout: default
+title: Observables - likelihood_higgs.yaml
+---
+
+# List of all observables included in likelihood_higgs.yaml
+
+{: class="table"}
+| Symbol | Name | Arguments |
+|------|--------|--------------|
+| $\mu_{gg}(h \to \gamma\gamma)$ | `mu_gg(h->gammagamma)` |  |
+| $\mu_{gg}(h \to ZZ)$ | `mu_gg(h->ZZ)` |  |
+| $\mu_{gg}(h \to W^+W^-)$ | `mu_gg(h->WW)` |  |
+| $\mu_{gg}(h \to \tau^+\tau^-)$ | `mu_gg(h->tautau)` |  |
+| $\mu_{gg}(h \to b\bar b)$ | `mu_gg(h->bb)` |  |
+| $\mu_{gg}(h \to \mu^+\mu^-)$ | `mu_gg(h->mumu)` |  |
+| $\mu_{gg}(h \to Z\gamma)$ | `mu_gg(h->Zgamma)` |  |
+| $\mu_{\text{VBF}}(h \to \gamma\gamma)$ | `mu_VBF(h->gammagamma)` |  |
+| $\mu_{\text{VBF}}(h \to ZZ)$ | `mu_VBF(h->ZZ)` |  |
+| $\mu_{\text{VBF}}(h \to W^+W^-)$ | `mu_VBF(h->WW)` |  |
+| $\mu_{\text{VBF}}(h \to \tau^+\tau^-)$ | `mu_VBF(h->tautau)` |  |
+| $\mu_{\text{VBF}}(h \to b\bar b)$ | `mu_VBF(h->bb)` |  |
+| $\mu_{\text{VBF}}(h \to \mu^+\mu^-)$ | `mu_VBF(h->mumu)` |  |
+| $\mu_{Wh}(h \to \gamma\gamma)$ | `mu_Wh(h->gammagamma)` |  |
+| $\mu_{Wh}(h \to ZZ)$ | `mu_Wh(h->ZZ)` |  |
+| $\mu_{Wh}(h \to W^+W^-)$ | `mu_Wh(h->WW)` |  |
+| $\mu_{Wh}(h \to \tau^+\tau^-)$ | `mu_Wh(h->tautau)` |  |
+| $\mu_{Wh}(h \to b\bar b)$ | `mu_Wh(h->bb)` |  |
+| $\mu_{Zh}(h \to \gamma\gamma)$ | `mu_Zh(h->gammagamma)` |  |
+| $\mu_{Zh}(h \to ZZ)$ | `mu_Zh(h->ZZ)` |  |
+| $\mu_{Zh}(h \to W^+W^-)$ | `mu_Zh(h->WW)` |  |
+| $\mu_{Zh}(h \to \tau^+\tau^-)$ | `mu_Zh(h->tautau)` |  |
+| $\mu_{Zh}(h \to b\bar b)$ | `mu_Zh(h->bb)` |  |
+| $\mu_{Zh}(h \to c\bar c)$ | `mu_Zh(h->cc)` |  |
+| $\mu_{Vh}(h \to \gamma\gamma)$ | `mu_Vh(h->gammagamma)` |  |
+| $\mu_{Vh}(h \to ZZ)$ | `mu_Vh(h->ZZ)` |  |
+| $\mu_{Vh}(h \to b\bar b)$ | `mu_Vh(h->bb)` |  |
+| $\mu_{t\bar t h}(h \to \gamma\gamma)$ | `mu_tth(h->gammagamma)` |  |
+| $\mu_{t\bar t h}(h \to ZZ)$ | `mu_tth(h->ZZ)` |  |
+| $\mu_{t\bar t h}(h \to W^+W^-)$ | `mu_tth(h->WW)` |  |
+| $\mu_{t\bar t h}(h \to VV)$ | `mu_tth(h->VV)` |  |
+| $\mu_{t\bar t h}(h \to \tau^+\tau^-)$ | `mu_tth(h->tautau)` |  |
+| $\mu_{t\bar t h}(h \to b\bar b)$ | `mu_tth(h->bb)` |  |

obs/2.3.2/likelihood_lept.yaml.md

@@ -0,0 +1,11 @@
+---
+layout: default
+title: Observables - likelihood_lept.yaml
+---
+
+# List of all observables included in likelihood_lept.yaml
+
+{: class="table"}
+| Symbol | Name | Arguments |
+|------|--------|--------------|
+| $\sigma_\text{trident}/\sigma_\text{trident}^\text{SM}$ | `R_trident` |  |