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Add translators for the sbcu and dbcu sectors #116

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Add translators for the sbcu and dbcu sectors #116

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abd2601
Add translator between JMS and flavio for sbcu and dbcu sectors
MJKirk Aug 12, 2024
2912e46
Exclude sbcu and dbcu sectors from Bern conversion checks
MJKirk Aug 12, 2024
7eab1b2
Simplify the translator code
MJKirk Aug 14, 2024
6b3e10f
Neaten code by removing unneeded decimal points
MJKirk Aug 14, 2024
874225f
Update wcxf-bases submodule reference
MJKirk Nov 13, 2024
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2 changes: 1 addition & 1 deletion wilson/translate/test_wet.py
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Original file line number Diff line number Diff line change
Expand Up @@ -354,7 +354,7 @@ def test_missing(self):
fkeys = set(self.to_wc.values.keys())
fkeys_all = {k for sname, s in wcxf.Basis['WET', 'flavio'].sectors.items()
for k in s
if sname not in ['mue', 'mutau', 'taue', 'nunumue', 'nunumutau', 'nunutaue', 'dF=0', 'ffnunu', 'etauemu', 'muemutau', 'cu']} # LFV, dF=0, dC=1 not in Bern
if sname not in ['mue', 'mutau', 'taue', 'nunumue', 'nunumutau', 'nunutaue', 'dF=0', 'ffnunu', 'etauemu', 'muemutau', 'cu', 'sbcu', 'dbcu']} # LFV, dF=0, dC=1 not in Bern
self.assertSetEqual(fkeys_all - fkeys, set(), msg="Missing coefficients")

class Testflavio2Bern(unittest.TestCase):
Expand Down
111 changes: 111 additions & 0 deletions wilson/translate/wet.py
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Original file line number Diff line number Diff line change
Expand Up @@ -1642,6 +1642,107 @@ def JMS_to_FormFlavor_chrom(C, qq, parameters):
else:
return 'not in FormFlav_chrom'

def _JMS_to_Flavio_III(C, qqqq, parameters):
p = parameters
V = ckmutil.ckm.ckm_tree(p["Vus"], p["Vub"], p["Vcb"], p["gamma"])
if qqqq in ('sbcu', 'dbcu', 'sbuc', 'dbuc'):
d1 = dflav[qqqq[0]]
d2 = dflav[qqqq[1]] # Will always be b = 2
u1 = uflav[qqqq[2]]
u2 = uflav[qqqq[3]]
xi = V[u1, d2] * V[u2, d1].conj()
else:
raise ValueError("Unexpected flavours: {}".format(qqqq[:2]))
pf = sqrt(2) / p['GF'] / xi / 4
qqqq_fl = qqqq[1:4] + qqqq[0] # Indices flipped for flavio (sbcu -> bcus, etc)
Nc = 3
if qqqq == 'sbcu':
indices_ud = (1,0,1,2)
indices_ud_conj = (0,1,2,1)
indices_uddu = (1,2,1,0)
indices_uddu_conj = (0,1,2,1)
indices_du = (1,2,1,0)
elif qqqq == 'dbcu':
indices_ud = (1,0,0,2)
indices_ud_conj = (0,1,2,0)
indices_uddu = (1,2,0,0)
indices_uddu_conj = (0,0,2,1)
indices_du = (0,2,1,0)
else:
raise ValueError(f"Sector not implemented: {qqqq}")
return {
'CVLL_' + qqqq_fl: pf * ( C["V8udLL"][*indices_ud_conj].conj()/2 ),
'CVLR_' + qqqq_fl: pf * ( C["V1udduLR"][*indices_uddu] - C["V8udduLR"][*indices_uddu]/(2*Nc) ),
'CVRL_' + qqqq_fl: pf * ( C["V1udduLR"][*indices_uddu_conj].conj() - C["V8udduLR"][*indices_uddu_conj].conj()/(2*Nc) ),
'CVRR_' + qqqq_fl: pf * ( C["V8udRR"][*indices_ud_conj].conj()/2 ),
'CSLL_' + qqqq_fl: pf * ( C["S1udduRR"][*indices_uddu_conj].conj() - C["S8udduRR"][*indices_uddu_conj].conj()/(2*Nc) - C["S8udRR"][*indices_ud_conj].conj()/4 ),
'CSLR_' + qqqq_fl: pf * ( -C["V8duLR"][*indices_du] ),
'CSRL_' + qqqq_fl: pf * ( -C["V8udLR"][*indices_ud_conj].conj() ),
'CSRR_' + qqqq_fl: pf * ( C["S1udduRR"][*indices_uddu] - C["S8udduRR"][*indices_uddu]/(2*Nc) - C["S8udRR"][*indices_ud]/4 ),
'CTLL_' + qqqq_fl: pf * ( -C["S8udRR"][*indices_ud_conj].conj()/16 ),
'CTRR_' + qqqq_fl: pf * ( -C["S8udRR"][*indices_ud]/16 ),
'CVLLt_' + qqqq_fl: pf * ( C["V1udLL"][*indices_ud_conj].conj() - C["V8udLL"][*indices_ud_conj].conj()/(2*Nc) ),
'CVLRt_' + qqqq_fl: pf * ( C["V8udduLR"][*indices_uddu]/2 ),
'CVRLt_' + qqqq_fl: pf * ( C["V8udduLR"][*indices_uddu_conj].conj()/2 ),
'CVRRt_' + qqqq_fl: pf * ( C["V1udRR"][*indices_ud_conj].conj() - C["V8udRR"][*indices_ud_conj].conj()/(2*Nc) ),
'CSLLt_' + qqqq_fl: pf * ( -C["S1udRR"][*indices_ud_conj].conj()/2 + C["S8udduRR"][*indices_uddu_conj].conj()/2 + C["S8udRR"][*indices_ud_conj].conj()/(4*Nc) ),
'CSLRt_' + qqqq_fl: pf * ( -2*C["V1duLR"][*indices_du] + C["V8duLR"][*indices_du]/Nc ),
'CSRLt_' + qqqq_fl: pf * ( -2*C["V1udLR"][*indices_ud_conj].conj() + C["V8udLR"][*indices_ud_conj].conj()/Nc ),
'CSRRt_' + qqqq_fl: pf * ( -C["S1udRR"][*indices_ud]/2 + C["S8udduRR"][*indices_uddu]/2 + C["S8udRR"][*indices_ud]/(4*Nc) ),
'CTLLt_' + qqqq_fl: pf * ( -C["S1udRR"][*indices_ud_conj].conj()/8 + C["S8udRR"][*indices_ud_conj].conj()/(16*Nc) ),
'CTRRt_' + qqqq_fl: pf * ( -C["S1udRR"][*indices_ud]/8 + C["S8udRR"][*indices_ud]/(16*Nc) ),
}

def _Flavio_to_JMS_III(C, qqqq, parameters):
p = parameters
V = ckmutil.ckm.ckm_tree(p["Vus"], p["Vub"], p["Vcb"], p["gamma"])
if qqqq in ('sbcu', 'dbcu', 'sbuc', 'dbuc'):
d1 = dflav[qqqq[0]]
d2 = dflav[qqqq[1]] # Will always be b = 2
u1 = uflav[qqqq[2]]
u2 = uflav[qqqq[3]]
xi = V[u1, d2] * V[u2, d1].conj()
else:
raise ValueError("Unexpected flavours: {}".format(qqqq[:2]))
pf = 4 * p['GF'] * xi / sqrt(2)
Nc = 3
qqqq_fl = qqqq[1:4] + qqqq[0] # Indices flipped for flavio (sbcu -> bcus, etc)
if qqqq == 'sbcu':
indices_ud = "2123"
indices_ud_conj = "1232"
indices_uddu = "2321"
indices_uddu_conj = "1232"
indices_du = "2321"
elif qqqq == 'dbcu':
indices_ud = "2113"
indices_ud_conj = "1231"
indices_uddu = "2311"
indices_uddu_conj = "1132"
indices_du = "1321"
else:
raise ValueError(f"Sector not implemented: {qqqq}")
return {
f"V1udLL_{indices_ud_conj}": pf * ( C[f"CVLL_{qqqq_fl}"].conjugate()/Nc + C[f"CVLLt_{qqqq_fl}"].conjugate() ),
f"V8udLL_{indices_ud_conj}": pf * ( 2*C[f"CVLL_{qqqq_fl}"].conjugate() ),
f"V1udRR_{indices_ud_conj}": pf * ( C[f"CVRR_{qqqq_fl}"].conjugate()/Nc + C[f"CVRRt_{qqqq_fl}"].conjugate() ),
f"V8udRR_{indices_ud_conj}": pf * ( 2*C[f"CVRR_{qqqq_fl}"].conjugate() ),
f"V1udLR_{indices_ud_conj}": pf * ( -C[f"CSRL_{qqqq_fl}"].conjugate()/(2.*Nc) - C[f"CSRLt_{qqqq_fl}"].conjugate()/2. ),
f"V8udLR_{indices_ud_conj}": pf * ( -C[f"CSRL_{qqqq_fl}"].conjugate() ),
f"V1duLR_{indices_du}": pf * ( -C[f"CSLR_{qqqq_fl}"]/(2.*Nc) - C[f"CSLRt_{qqqq_fl}"]/2. ),
f"V8duLR_{indices_du}": pf * ( -C[f"CSLR_{qqqq_fl}"] ),
f"V1udduLR_{indices_uddu_conj}": pf * ( C[f"CVRL_{qqqq_fl}"].conjugate() + C[f"CVRLt_{qqqq_fl}"].conjugate()/Nc ),
f"V8udduLR_{indices_uddu_conj}": pf * ( 2*C[f"CVRLt_{qqqq_fl}"].conjugate() ),
f"V1udduLR_{indices_uddu}": pf * ( C[f"CVLR_{qqqq_fl}"] + C[f"CVLRt_{qqqq_fl}"]/Nc ),
f"V8udduLR_{indices_uddu}": pf * ( 2*C[f"CVLRt_{qqqq_fl}"] ),
f"S1udRR_{indices_ud_conj}": pf * ( (-8*C[f"CTLL_{qqqq_fl}"]).conjugate()/Nc - 8*C[f"CTLLt_{qqqq_fl}"].conjugate() ),
f"S8udRR_{indices_ud_conj}": pf * ( -16*C[f"CTLL_{qqqq_fl}"].conjugate() ),
f"S1udduRR_{indices_uddu_conj}": pf * ( C[f"CSLL_{qqqq_fl}"].conjugate() + C[f"CSLLt_{qqqq_fl}"].conjugate()/Nc - 4*C[f"CTLL_{qqqq_fl}"].conjugate() - (4*C[f"CTLLt_{qqqq_fl}"]).conjugate()/Nc ),
f"S8udduRR_{indices_uddu_conj}": pf * ( 2*C[f"CSLLt_{qqqq_fl}"].conjugate() - 8*C[f"CTLLt_{qqqq_fl}"].conjugate() ),
f"S1udRR_{indices_ud}": pf * ( (-8*C[f"CTRR_{qqqq_fl}"])/Nc - 8*C[f"CTRRt_{qqqq_fl}"] ),
f"S8udRR_{indices_ud}": pf * ( -16*C[f"CTRR_{qqqq_fl}"] ),
f"S1udduRR_{indices_uddu}": pf * ( C[f"CSRR_{qqqq_fl}"] + C[f"CSRRt_{qqqq_fl}"]/Nc - 4*C[f"CTRR_{qqqq_fl}"] - (4*C[f"CTRRt_{qqqq_fl}"])/Nc ),
f"S8udduRR_{indices_uddu}": pf * ( 2*C[f"CSRRt_{qqqq_fl}"] - 8*C[f"CTRRt_{qqqq_fl}"] ),
}

def _JMS_to_Flavio_VII(C, parameters):
"""From JMS to flavio basis for class VII, i.e. flavour blind operators."""
Expand Down Expand Up @@ -1784,6 +1885,11 @@ def JMS_to_flavio(Cflat, scale, parameters=None, sectors=None):
qq+'l_'+l+'nu_'+lp),
qq+'l_'+l+'nu_'+lp, p))

# Class III
for qqqq in ['sbcu', 'dbcu']: # 'sbuc', 'dbuc' not implemented yet
if sectors is None or qqqq in sectors:
d.update(_JMS_to_Flavio_III(C, qqqq, p))

# Class V semileptonic
for l in lflav.keys():
for lp in lflav.keys():
Expand Down Expand Up @@ -2144,6 +2250,11 @@ def flavio_to_JMS(C_incomplete, scale, parameters=None, sectors=None):
qq+'l_'+l+'nu_'+lp, p),
qq+'l_'+l+'nu_'+lp))

# Class III
for qqqq in ['sbcu', 'dbcu']: # 'sbuc', 'dbuc' not implemented yet
if sectors is None or qqqq in sectors:
d.update(_Flavio_to_JMS_III(C, qqqq, p))

# Class V semileptonic
for l in lflav.keys():
for lp in lflav.keys():
Expand Down
2 changes: 1 addition & 1 deletion wilson/wcxf/bases
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Submodule bases updated 3 files
+4 −1 util/convert.py
+124 −0 wet.flavio.basis.json
+82 −0 wet.flavio.basis.yml
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