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Changed the notation in xSM to match section 6.1 and manySinglets.py #346

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Nov 6, 2024
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Changed the notation in xSM to match section 6.1 and manySinglets.py #346

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31052ff
Changed the notation in xSM to match section 6.1 and manySinglets.py
benoitlaurent96 Nov 5, 2024
c4b9999
Fixed the tests
benoitlaurent96 Nov 5, 2024
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42 changes: 21 additions & 21 deletions Models/SingletStandardModel_Z2/SingletStandardModel_Z2_Simple.py
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Original file line number Diff line number Diff line change
Expand Up @@ -14,7 +14,7 @@
from .singletStandardModelZ2 import SingletSMZ2, EffectivePotentialxSMZ2


# Z2 symmetric SM + singlet model. V = msq |phi|^2 + lam (|phi|^2)^2 + 1/2 b2 S^2 + 1/4 b4 S^4 + 1/2 a2 |phi|^2 S^2
# Z2 symmetric SM + singlet model. V = muHsq |phi|^2 + lHH (|phi|^2)^2 + 1/2 muSsq S^2 + 1/4 lSS S^4 + 1/2 lHS |phi|^2 S^2
class SingletSM_Z2_Simple(SingletSMZ2):

def __init__(self, initialInputParameters: dict[str, float]):
Expand Down Expand Up @@ -48,19 +48,19 @@ def evaluate(
# 4D units
thermalParameters = self.getThermalParameters(temperature)

msq = thermalParameters["msq"]
lam = thermalParameters["lambda"]
b2 = thermalParameters["b2"]
b4 = thermalParameters["b4"]
a2 = thermalParameters["a2"]
muHsq = thermalParameters["muHsq"]
lHH = thermalParameters["lHH"]
muSsq = thermalParameters["muSsq"]
lSS = thermalParameters["lSS"]
lHS = thermalParameters["lHS"]

# tree level potential
V0 = (
0.5 * msq * v**2
+ 0.25 * lam * v**4
+ 0.5 * b2 * x**2
+ 0.25 * b4 * x**4
+ 0.25 * a2 * v**2 * x**2
0.5 * muHsq * v**2
+ 0.25 * lHH * v**4
+ 0.5 * muSsq * x**2
+ 0.25 * lSS * x**4
+ 0.25 * lHS * v**2 * x**2
)

return V0 + self.constantTerms(temperature)
Expand All @@ -71,25 +71,25 @@ def constantTerms(self, temperature: float) -> float:
# Calculates thermally corrected parameters to use in Veff. So basically 3D effective params but keeping 4D units
def getThermalParameters(self, temperature: float) -> dict[str, float]:
T = temperature
msq = self.modelParameters["msq"]
lam = self.modelParameters["lambda"]
muHsq = self.modelParameters["muHsq"]
lHH = self.modelParameters["lHH"]
yt = self.modelParameters["yt"]
g1 = self.modelParameters["g1"]
g2 = self.modelParameters["g2"]

b2 = self.modelParameters["b2"]
a2 = self.modelParameters["a2"]
b4 = self.modelParameters["b4"]
muSsq = self.modelParameters["muSsq"]
lHS = self.modelParameters["lHS"]
lSS = self.modelParameters["lSS"]

# LO matching: only masses get corrected
thermalParameters = self.modelParameters.copy()

thermalParameters["msq"] = (
msq
+ T**2 / 16.0 * (3.0 * g2**2 + g1**2 + 4.0 * yt**2 + 8.0 * lam)
+ T**2 * a2 / 24.0
thermalParameters["muHsq"] = (
muHsq
+ T**2 / 16.0 * (3.0 * g2**2 + g1**2 + 4.0 * yt**2 + 8.0 * lHH)
+ T**2 * lHS / 24.0
)

thermalParameters["b2"] = b2 + T**2 * (1.0 / 6.0 * a2 + 1.0 / 4.0 * b4)
thermalParameters["muSsq"] = muSsq + T**2 * (1.0 / 6.0 * lHS + 1.0 / 4.0 * lSS)

return thermalParameters
58 changes: 29 additions & 29 deletions Models/SingletStandardModel_Z2/singletStandardModelZ2.py
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Original file line number Diff line number Diff line change
Expand Up @@ -59,7 +59,7 @@ class SingletSMZ2(GenericModel):
Z2 symmetric SM + singlet model.

The potential is given by:
V = msq |phi|^2 + lam |phi|^4 + 1/2 b2 S^2 + 1/4 b4 S^4 + 1/2 a2 |phi|^2 S^2
V = 1/2 muHsq |phi|^2 + 1/4 lHH |phi|^4 + 1/2 muSsq S^2 + 1/4 lSS S^4 + 1/4 lHS |phi|^2 S^2

This class inherits from the GenericModel class and implements the necessary
methods for the WallGo package.
Expand Down Expand Up @@ -195,14 +195,14 @@ def calculateLagrangianParameters(

# these are direct inputs:
modelParameters["RGScale"] = inputParameters["RGScale"]
modelParameters["a2"] = inputParameters["a2"]
modelParameters["b4"] = inputParameters["b4"]
modelParameters["lHS"] = inputParameters["lHS"]
modelParameters["lSS"] = inputParameters["lSS"]

modelParameters["lambda"] = 0.5 * massh1**2 / v0**2
modelParameters["lHH"] = 0.5 * massh1**2 / v0**2
# should be same as the following:
# modelParameters["msq"] = -massh1**2 / 2.
modelParameters["msq"] = -modelParameters["lambda"] * v0**2
modelParameters["b2"] = massh2**2 - 0.5 * v0**2 * inputParameters["a2"]
# modelParameters["muHsq"] = -massh1**2 / 2.
modelParameters["muHsq"] = -modelParameters["lHH"] * v0**2
modelParameters["muSsq"] = massh2**2 - 0.5 * v0**2 * inputParameters["lHS"]

# Then the gauge and Yukawa sector
massT = inputParameters["Mt"]
Expand Down Expand Up @@ -352,19 +352,19 @@ def evaluate(
fields = Fields(fields)
v, x = fields.getField(0), fields.getField(1)

msq = self.modelParameters["msq"]
b2 = self.modelParameters["b2"]
lam = self.modelParameters["lambda"]
b4 = self.modelParameters["b4"]
a2 = self.modelParameters["a2"]
muHsq = self.modelParameters["muHsq"]
muSsq = self.modelParameters["muSsq"]
lHH = self.modelParameters["lHH"]
lSS = self.modelParameters["lSS"]
lHS = self.modelParameters["lHS"]

# tree level potential
potentialTree = (
0.5 * msq * v**2
+ 0.25 * lam * v**4
+ 0.5 * b2 * x**2
+ 0.25 * b4 * x**4
+ 0.25 * a2 * v**2 * x**2
0.5 * muHsq * v**2
+ 0.25 * lHH * v**4
+ 0.5 * muSsq * x**2
+ 0.25 * lSS * x**4
+ 0.25 * lHS * v**2 * x**2
)

# Particle masses and coefficients for the CW potential
Expand Down Expand Up @@ -438,16 +438,16 @@ def bosonInformation( # pylint: disable=too-many-locals

# Scalar masses, just diagonalizing manually. matrix (A C // C B)
mass00 = (
self.modelParameters["msq"]
+ 0.5 * self.modelParameters["a2"] * x**2
+ 3 * self.modelParameters["lambda"] * v**2
self.modelParameters["muHsq"]
+ 0.5 * self.modelParameters["lHS"] * x**2
+ 3 * self.modelParameters["lHH"] * v**2
)
mass11 = (
self.modelParameters["b2"]
+ 0.5 * self.modelParameters["a2"] * v**2
+ 3 * self.modelParameters["b4"] * x**2
self.modelParameters["muSsq"]
+ 0.5 * self.modelParameters["lHS"] * v**2
+ 3 * self.modelParameters["lSS"] * x**2
)
mass01 = self.modelParameters["a2"] * v * x
mass01 = self.modelParameters["lHS"] * v * x
thingUnderSqrt = (mass00 - mass11) ** 2 + 4 * mass01**2

msqEig1 = 0.5 * (mass00 + mass11 - np.sqrt(thingUnderSqrt))
Expand All @@ -457,9 +457,9 @@ def bosonInformation( # pylint: disable=too-many-locals
mZsq = mWsq + self.modelParameters["g1"] ** 2 * v**2 / 4
# Goldstones
mGsq = (
self.modelParameters["msq"]
+ self.modelParameters["lambda"] * v**2
+ 0.5 * self.modelParameters["a2"] * x**2
self.modelParameters["muHsq"]
+ self.modelParameters["lHH"] * v**2
+ 0.5 * self.modelParameters["lHS"] * x**2
)

# h, s, chi, W, Z
Expand Down Expand Up @@ -697,8 +697,8 @@ def getBenchmarkPoints(self) -> list[ExampleInputPoint]:
"g3": 1.2279920495357861,
"mh1": 125.0,
"mh2": 120.0,
"a2": 0.9,
"b4": 1.0,
"lHS": 0.9,
"lSS": 1.0,
},
WallGo.PhaseInfo(
temperature=100.0, # nucleation temperature
Expand Down
16 changes: 8 additions & 8 deletions tests/Benchmarks/SingletSM_Z2/Benchmarks_singlet.py
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Original file line number Diff line number Diff line change
Expand Up @@ -14,8 +14,8 @@
# scalar specific, choose Benoit benchmark values
"mh1": 125.0,
"mh2": 120.0,
"a2": 0.9,
"b4": 1.0,
"lHS": 0.9,
"lSS": 1.0,
},
phaseInfo={
"Tn": 100.0,
Expand Down Expand Up @@ -62,8 +62,8 @@
"g3": 1.2279920495357861,
"mh1": 125.0,
"mh2": 160.0,
"a2": 1.2,
"b4": 1.0,
"lHS": 1.2,
"lSS": 1.0,
},
{},
)
Expand All @@ -81,8 +81,8 @@
# scalar specific, choose Benoit benchmark values
"mh1": 125.0,
"mh2": 160.0,
"a2": 1.6,
"b4": 1.0,
"lHS": 1.6,
"lSS": 1.0,
},
{},
)
Expand All @@ -97,8 +97,8 @@
"g3": 1.2279920495357861,
"mh1": 125.0,
"mh2": 160.0,
"a2": 1.2,
"b4": 1.0,
"lHS": 1.2,
"lSS": 1.0,
},
{},
)
Expand Down
98 changes: 49 additions & 49 deletions tests/Benchmarks/SingletSM_Z2/test_EffectivePotential.py
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Original file line number Diff line number Diff line change
Expand Up @@ -20,20 +20,20 @@ def test_effectivePotential_V_singletSimple(

# parameters
thermalParameters = Veff.getThermalParameters(T)
msq = thermalParameters["msq"]
b2 = thermalParameters["b2"]
lam = thermalParameters["lambda"]
a2 = thermalParameters["a2"]
b4 = thermalParameters["b4"]
muHsq = thermalParameters["muHsq"]
muSsq = thermalParameters["muSsq"]
lam = thermalParameters["lHH"]
lHS = thermalParameters["lHS"]
lSS = thermalParameters["lSS"]

# fields
v = np.sqrt(2 * (-a2 * b2 + 2 * b4 * msq) / (a2**2 - 4 * b4 * lam))
x = np.sqrt(2 * (-a2 * msq + 2 * lam * b2) / (a2**2 - 4 * b4 * lam))
v = np.sqrt(2 * (-lHS * muSsq + 2 * lSS * muHsq) / (lHS**2 - 4 * lSS * lam))
x = np.sqrt(2 * (-lHS * muHsq + 2 * lam * muSsq) / (lHS**2 - 4 * lSS * lam))
fields = WallGo.Fields(([v, x]))

# exact results
f0 = -107.75 * np.pi**2 / 90 * T**4
VExact = (b4 * msq**2 - a2 * msq * b2 + lam * b2**2) / (a2**2 - 4 * b4 * lam)
VExact = (lSS * muHsq**2 - lHS * muHsq * muSsq + lam * muSsq**2) / (lHS**2 - 4 * lSS * lam)

# tolerance
Veff.dT = 1e-4 * T
Expand All @@ -58,15 +58,15 @@ def test_effectivePotential_dVdField_singletSimple(

# parameters
thermalParameters = Veff.getThermalParameters(T)
msq = thermalParameters["msq"]
b2 = thermalParameters["b2"]
lam = thermalParameters["lambda"]
a2 = thermalParameters["a2"]
b4 = thermalParameters["b4"]
muHsq = thermalParameters["muHsq"]
muSsq = thermalParameters["muSsq"]
lam = thermalParameters["lHH"]
lHS = thermalParameters["lHS"]
lSS = thermalParameters["lSS"]

# fields
v = np.sqrt(2 * (-a2 * b2 + 2 * b4 * msq) / (a2**2 - 4 * b4 * lam))
x = np.sqrt(2 * (-a2 * msq + 2 * lam * b2) / (a2**2 - 4 * b4 * lam))
v = np.sqrt(2 * (-lHS * muSsq + 2 * lSS * muHsq) / (lHS**2 - 4 * lSS * lam))
x = np.sqrt(2 * (-lHS * muHsq + 2 * lam * muSsq) / (lHS**2 - 4 * lSS * lam))
fields = WallGo.Fields(([v, x]))

# exact results
Expand Down Expand Up @@ -96,25 +96,25 @@ def test_effectivePotential_dVdT_singletSimple(

# parameters
thermalParameters = Veff.getThermalParameters(T)
msq = thermalParameters["msq"]
b2 = thermalParameters["b2"]
lam = thermalParameters["lambda"]
a2 = thermalParameters["a2"]
b4 = thermalParameters["b4"]
muHsq = thermalParameters["muHsq"]
muSsq = thermalParameters["muSsq"]
lam = thermalParameters["lHH"]
lHS = thermalParameters["lHS"]
lSS = thermalParameters["lSS"]
vacuumParameters = Veff.modelParameters
msq0 = vacuumParameters["msq"]
b20 = vacuumParameters["b2"]
muHsq0 = vacuumParameters["muHsq"]
muSsq0 = vacuumParameters["muSsq"]

# fields
v = np.sqrt(2 * (-a2 * b2 + 2 * b4 * msq) / (a2**2 - 4 * b4 * lam))
x = np.sqrt(2 * (-a2 * msq + 2 * lam * b2) / (a2**2 - 4 * b4 * lam))
v = np.sqrt(2 * (-lHS * muSsq + 2 * lSS * muHsq) / (lHS**2 - 4 * lSS * lam))
x = np.sqrt(2 * (-lHS * muHsq + 2 * lam * muSsq) / (lHS**2 - 4 * lSS * lam))
fields = WallGo.Fields(([v, x]))

# exact results
dVdTExact = (
-107.75 * np.pi**2 / 90 * 4 * T**3
+ (msq - msq0) / T * v**2
+ (b2 - b20) / T * x**2
+ (muHsq - muHsq0) / T * v**2
+ (muSsq - muSsq0) / T * x**2
)

# tolerance
Expand All @@ -140,25 +140,25 @@ def test_effectivePotential_d2VdFielddT_singletSimple(

# parameters
thermalParameters = Veff.getThermalParameters(T)
msq = thermalParameters["msq"]
b2 = thermalParameters["b2"]
lam = thermalParameters["lambda"]
a2 = thermalParameters["a2"]
b4 = thermalParameters["b4"]
muHsq = thermalParameters["muHsq"]
muSsq = thermalParameters["muSsq"]
lam = thermalParameters["lHH"]
lHS = thermalParameters["lHS"]
lSS = thermalParameters["lSS"]
vacuumParameters = Veff.modelParameters
msq0 = vacuumParameters["msq"]
b20 = vacuumParameters["b2"]
muHsq0 = vacuumParameters["muHsq"]
muSsq0 = vacuumParameters["muSsq"]

# fields
v = np.sqrt(2 * (-a2 * b2 + 2 * b4 * msq) / (a2**2 - 4 * b4 * lam))
x = np.sqrt(2 * (-a2 * msq + 2 * lam * b2) / (a2**2 - 4 * b4 * lam))
v = np.sqrt(2 * (-lHS * muSsq + 2 * lSS * muHsq) / (lHS**2 - 4 * lSS * lam))
x = np.sqrt(2 * (-lHS * muHsq + 2 * lam * muSsq) / (lHS**2 - 4 * lSS * lam))
fields = WallGo.Fields(([v, x]))

# exact results
d2VdFielddTExact = np.array(
[
2 * (msq - msq0) / T * v,
2 * (b2 - b20) / T * x,
2 * (muHsq - muHsq0) / T * v,
2 * (muSsq - muSsq0) / T * x,
]
)

Expand All @@ -185,25 +185,25 @@ def test_effectivePotential_d2VdField2_singletSimple(

# parameters
thermalParameters = Veff.getThermalParameters(T)
msq = thermalParameters["msq"]
b2 = thermalParameters["b2"]
lam = thermalParameters["lambda"]
a2 = thermalParameters["a2"]
b4 = thermalParameters["b4"]
muHsq = thermalParameters["muHsq"]
muSsq = thermalParameters["muSsq"]
lam = thermalParameters["lHH"]
lHS = thermalParameters["lHS"]
lSS = thermalParameters["lSS"]

# fields
v = np.sqrt(2 * (-a2 * b2 + 2 * b4 * msq) / (a2**2 - 4 * b4 * lam))
x = np.sqrt(2 * (-a2 * msq + 2 * lam * b2) / (a2**2 - 4 * b4 * lam))
v = np.sqrt(2 * (-lHS * muSsq + 2 * lSS * muHsq) / (lHS**2 - 4 * lSS * lam))
x = np.sqrt(2 * (-lHS * muHsq + 2 * lam * muSsq) / (lHS**2 - 4 * lSS * lam))
fields = WallGo.Fields(([v, x]))

# exact results
a = 4 * lam * (-(a2 * b2) + 2 * b4 * msq) / (a2**2 - 4 * b4 * lam)
a = 4 * lam * (-(lHS * muSsq) + 2 * lSS * muHsq) / (lHS**2 - 4 * lSS * lam)
b = (
(2 * a2)
* np.sqrt((2 * b2 * lam - a2 * msq) * (-(a2 * b2) + 2 * b4 * msq))
/ (a2**2 - 4 * b4 * lam)
(2 * lHS)
* np.sqrt((2 * muSsq * lam - lHS * muHsq) * (-(lHS * muSsq) + 2 * lSS * muHsq))
/ (lHS**2 - 4 * lSS * lam)
)
d = b4 * (8 * b2 * lam - 4 * a2 * msq) / (a2**2 - 4 * b4 * lam)
d = lSS * (8 * muSsq * lam - 4 * lHS * muHsq) / (lHS**2 - 4 * lSS * lam)
d2VdField2 = np.array([[a, b], [b, d]])


Expand Down
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