Add B+/Bd lifetime ratio as observable

flavio/data/citations.yml

@@ -31,11 +31,15 @@
 - Gubernari:2018wyi
 - Huber:2015sra
 - Inami:1980fz
+- Jager:2017gal
+- Jager:2019bgk
 - Kitano:2002mt
 - Kozachuk:2017mdk
 - Kruger:2002gf
 - Kuno:1999jp
 - Leljak:2021vte
+- Lenz:2022pgw
+- Lenz:2022rbq
 - Meinel:2020owd
 - Melikhov:2004mk
 - Mescia:2007kn

flavio/data/config.yml

@@ -31,6 +31,7 @@ renormalization scale:
     bxgamma: 2.  # B->X gamma
     bxlnu: 4.6  # B->X l nu
     lambdab: 4.8 # Lambdab->Lambda l+ l-, Lambdab->Lambda(1520) l+ l-
+    b lifetime ratios: 4.5 # B meson lifetime ratios
 
     # K decays
     kdecays: 2.  # K->pinunu

flavio/data/measurements.yml

@@ -22892,3 +22892,9 @@ LHCb Bs->K*mumu 2018:
    inspire: LHCb:2018rym
    values:
      BR_LHCb(Bs->K*0mumu): 2.9 ± 1.0 ± 0.2 ± 0.3 1e-8
+
+B lifetime ratios:
+  experiment: HFLAV
+  inspire: HFLAV:2022esi
+  values:
+    tau_B+/tau_Bd: 1.076  ± 0.004

flavio/data/parameters_metadata.yml

@@ -945,7 +945,7 @@ Lambdab->Lambda(1520) hTperpPrim A:
 
 
 
-# Meson bag parameters
+# Meson mixing bag parameters
 
 # SM operator
 # for the bag parameters of the SM operator OVLL,
@@ -1133,6 +1133,48 @@ tau_Bc_SM:
   tex: $\tau_{B_c}^\text{SM}$
   description: Standard Model prediction for the $B_c$ lifetime
 
+
+# Meson lifetime bag parameters
+# As defined in 2211.02724, eqs 2.16 - 2.19
+bag_lifetime_B1qtilde:
+  tex: $\tilde{B}^q_1$
+  description: Bag parameter of the $\tilde{O}_1^q$ operator at 1.5 GeV
+bag_lifetime_B2qtilde:
+  tex: $\tilde{B}^q_2$
+  description: Bag parameter of the $\tilde{O}_2^q$ operator at 1.5 GeV
+bag_lifetime_B3qtilde:
+  tex: $\tilde{B}^q_3$
+  description: Bag parameter of the $\tilde{O}_3^q$ operator at 1.5 GeV
+bag_lifetime_B4qtilde:
+  tex: $\tilde{B}^q_4$
+  description: Bag parameter of the $\tilde{O}_4^q$ operator at 1.5 GeV
+bag_lifetime_B5qtilde:
+  tex: $\tilde{B}^q_5$
+  description: Bag parameter of the $\tilde{O}_5^q$ operator at 1.5 GeV
+bag_lifetime_B6qtilde:
+  tex: $\tilde{B}^q_6$
+  description: Bag parameter of the $\tilde{O}_6^q$ operator at 1.5 GeV
+bag_lifetime_B7qtilde:
+  tex: $\tilde{B}^q_7$
+  description: Bag parameter of the $\tilde{O}_7^q$ operator at 1.5 GeV
+bag_lifetime_B8qtilde:
+  tex: $\tilde{B}^q_8$
+  description: Bag parameter of the $\tilde{O}_8^q$ operator at 1.5 GeV
+bag_lifetime_delta^ud_1tilde:
+  tex: $\tilde{\delta}^{ud}_1$
+  description: Eye-contraction parameter of the operator $\tilde{O}_1^q$ at 1.5 GeV
+bag_lifetime_delta^ud_2tilde:
+  tex: $\tilde{\delta}^{ud}_2$
+  description: Eye-contraction parameter of the operator $\tilde{O}_2^q$ at 1.5 GeV
+bag_lifetime_delta^ud_3tilde:
+  tex: $\tilde{\delta}^{ud}_3$
+  description: Eye-contraction parameter of the operator $\tilde{O}_3^q$ at 1.5 GeV
+bag_lifetime_delta^ud_4tilde:
+  tex: $\tilde{\delta}^{ud}_4$
+  description: Eye-contraction parameter of the operator $\tilde{O}_4^q$ at 1.5 GeV
+
+
+
 # Parameters for B->D* form factors in the CLN parametrization
 B->D* CLN rho2:
   tex: $\rho^2$

flavio/data/parameters_uncorrelated.yml

@@ -115,7 +115,7 @@ a1_para_rho+: 0
 a1_perp_rho+: 0
 
 
-# Meson bag parameters
+# Meson mixing bag parameters
 
 # SM operator
 # for the bag parameters of the SM operator OVLL,
@@ -170,6 +170,23 @@ Gamma12_B0_a: 11.7(1.3)
 DeltaGamma/Gamma_B0: -0.002(10) # HFAG Summer 2016
 DeltaGamma/Gamma_Bs: 0.129(9) # HFAG Summer 2016
 
+
+# Meson lifetime bag parameters
+# Result from Table 7 of 2208.02643
+bag_lifetime_B1qtilde: 1.0026+0.0198-0.0106
+bag_lifetime_B2qtilde: 0.9982+0.0052-0.0066
+bag_lifetime_B3qtilde: -0.0165+0.0209-0.0346
+bag_lifetime_B4qtilde: -0.0004+0.0200-0.0326
+bag_lifetime_B5qtilde: -1 +- 0.1 # These values and errors are guesstimates by M Kirk
+bag_lifetime_B6qtilde: -1 +- 0.1 # These values and errors are guesstimates by M Kirk
+bag_lifetime_B7qtilde:  0 +- 0.1 # These values and errors are guesstimates by M Kirk
+bag_lifetime_B8qtilde:  0 +- 0.1 # These values and errors are guesstimates by M Kirk
+bag_lifetime_delta^ud_1tilde: 0.0026+0.0142-0.0092
+bag_lifetime_delta^ud_2tilde: -0.0018+0.0047-0.0072
+bag_lifetime_delta^ud_3tilde: -0.0004+0.0015-0.0024
+bag_lifetime_delta^ud_4tilde: 0.0003+0.0012-0.0008
+
+
 # B->D* form factors
 B->D* CLN R_0(1): 1.14(11) # 1203.2654 appendix B
 B->D* CLN h_A1(1): 0.906(4)(12) # 1403.0635

flavio/physics/bdecays/__init__.py

@@ -21,3 +21,4 @@
 from . import lambdablambda1520ll
 from . import bxll
 from . import bc_lifetime
+from . import lifetime_ratio

flavio/physics/bdecays/test_lifetime_ratio.py

@@ -0,0 +1,105 @@
+import unittest
+import flavio
+
+
+par = flavio.default_parameters.get_central_all()
+
+wc_sm = flavio.WilsonCoefficients()
+
+class TestTauBpoBd(unittest.TestCase):
+    def test_bag_params(self):
+        flavio_bag_params = flavio.physics.bdecays.lifetime_ratio.run_lifetime_bag_parameters(par, 4.5)
+        MLP_results = {
+            "bag_lifetime_B1qtilde": 1.0080976022,
+            "bag_lifetime_B2qtilde": 1.0012180386,
+            "bag_lifetime_B3qtilde": -0.04773286535,
+            "bag_lifetime_B4qtilde": -0.03431299826,
+            "bag_lifetime_B5qtilde": -1.0,
+            "bag_lifetime_B6qtilde": -1.0,
+            "bag_lifetime_B7qtilde": 0.0,
+            "bag_lifetime_B8qtilde": 0.0,
+            "bag_lifetime_deltaqq1tilde":  0.0026,
+            "bag_lifetime_deltaqq2tilde": -0.0018,
+            "bag_lifetime_deltaqq3tilde": -0.0004,
+            "bag_lifetime_deltaqq4tilde": 0.0003,
+        }
+        for bag_param in flavio_bag_params:
+            self.assertAlmostEqual(flavio_bag_params[bag_param], MLP_results[bag_param])
+
+    def test_sm(self):
+        self.assertAlmostEqual(flavio.sm_prediction('tau_B+/tau_Bd'), 1.08381512025)
+
+    def test_WE_cu(self):
+        self.assertEqual(flavio.physics.bdecays.lifetime_ratio.weak_exchange(wc_sm, par, "B0"), 0)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLL_bcud": 1}, scale=4.5)
+        self.assertAlmostEqual(1e15*flavio.physics.bdecays.lifetime_ratio.weak_exchange(wc, par, "B0"), 3.03733567, places=6)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLLt_bcud": 1}, scale=4.5)
+        self.assertAlmostEqual(1e15*flavio.physics.bdecays.lifetime_ratio.weak_exchange(wc, par, "B0"), 9.79346592, places=5)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLLt_bcus": 1}, scale=4.5)
+        self.assertEqual(flavio.physics.bdecays.lifetime_ratio.weak_exchange(wc, par, "B0"), 0)
+
+    def test_PI_cd(self):
+        self.assertEqual(flavio.physics.bdecays.lifetime_ratio.pauli_interference(wc_sm, par, "B+"), 0)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLL_bcud": 1}, scale=4.5)
+        self.assertAlmostEqual(1e14*flavio.physics.bdecays.lifetime_ratio.pauli_interference(wc, par, "B+"), 2.82494420, places=6)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLL_bcus": 1}, scale=4.5)
+        self.assertAlmostEqual(1e14*flavio.physics.bdecays.lifetime_ratio.pauli_interference(wc, par, "B+"), 0.1503590699, places=6)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLLt_bcud": 1}, scale=4.5)
+        self.assertAlmostEqual(1e13*flavio.physics.bdecays.lifetime_ratio.pauli_interference(wc, par, "B+"), 1.38771099, places=6)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLLt_bcus": 1}, scale=4.5)
+        Vud = flavio.physics.ckm.get_ckm(par)[0,0]
+        Vus = flavio.physics.ckm.get_ckm(par)[0,1]
+        self.assertAlmostEqual(1e13*flavio.physics.bdecays.lifetime_ratio.pauli_interference(wc, par, "B+"), 1.38771099*(Vus/Vud)**2, places=6)
+
+    def test_NP_bcud(self):
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLL_bcud": -2}, scale=4.5)
+        self.assertAlmostEqual(flavio.np_prediction("tau_B+/tau_Bd", wc), 1.011517673)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLLt_bcud": 3}, scale=4.5)
+        self.assertAlmostEqual(flavio.np_prediction("tau_B+/tau_Bd", wc), 0.007740969, places=6)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVRLt_bcud": -0.15, "CSLL_bcud": 0.2}, scale=4.5)
+        self.assertAlmostEqual(flavio.np_prediction("tau_B+/tau_Bd", wc), 1.113086143)
+
+    def test_NP_bcus(self):
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLL_bcus": -2}, scale=4.5)
+        self.assertAlmostEqual(flavio.np_prediction("tau_B+/tau_Bd", wc), 1.079837520)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLLt_bcus": 3}, scale=4.5)
+        self.assertAlmostEqual(flavio.np_prediction("tau_B+/tau_Bd", wc), 1.017205203)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVRLt_bcus": -0.15, "CSLL_bcus": 0.2}, scale=4.5)
+        self.assertAlmostEqual(flavio.np_prediction("tau_B+/tau_Bd", wc), 1.083496791)
+
+    def test_NP_dbcc(self):
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLL_bdcc": -2}, scale=4.5)
+        self.assertAlmostEqual(flavio.np_prediction("tau_B+/tau_Bd", wc), 1.084098486)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVLLt_bdcc": 3}, scale=4.5)
+        self.assertAlmostEqual(flavio.np_prediction("tau_B+/tau_Bd", wc), 1.102675260)
+
+        wc = flavio.WilsonCoefficients()
+        wc.set_initial({"CVRLt_bdcc": -0.15, "CSLL_bdcc": 0.2}, scale=4.5)
+        self.assertAlmostEqual(flavio.np_prediction("tau_B+/tau_Bd", wc), 1.085435224)