def four_particle_decay_test(params):
os.environ['SPLIT_COLLISION_INTEGRAL'] = ''
photon = Particle(**SMP.photon)
neutrino_e = Particle(**SMP.leptons.neutrino_e)
sterile = Particle(**NuP.dirac_sterile_neutrino(mass=200 * UNITS.MeV))
theta = 1e-4
thetas = defaultdict(float, {
'electron': theta,
})
interaction = NuI.sterile_leptons_interactions(
thetas=thetas, sterile=sterile,
neutrinos=[neutrino_e],
leptons=[],
kind = CollisionIntegralKind.F_f_vacuum_decay
)
for inter in interaction:
inter.integrals = [integral for integral in inter.integrals
if sum(reactant.side for reactant in integral.reaction) in [2]]
universe = Universe(params=params)
universe.add_particles([photon, neutrino_e, sterile])
universe.interactions += interaction
params.update(universe.total_energy_density(), universe.total_entropy())
universe.update_particles()
universe.init_interactions()
collision_integral = sterile.collision_integrals[0].integrate(sterile.grid.TEMPLATE)
theo_value = (CONST.G_F * theta)**2 * sterile.mass**5 / (192 * numpy.pi**3) / UNITS.MeV
decay_rate = -(collision_integral * sterile.params.H \
* sterile.conformal_energy(sterile.grid.TEMPLATE) / sterile.conformal_mass \
/ sterile._distribution) / UNITS.MeV
ratio = decay_rate / theo_value
assert any(numpy.abs(val) - 1 < 1e-2 for val in ratio), "Four-particle decay test failed"
sterile,
])
thetas = defaultdict(float, {
'electron': theta,
})
universe.interactions += (
SMI.neutrino_interactions(
leptons=[electron, muon],
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau]
)
+ NuI.sterile_leptons_interactions(
thetas=thetas, sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
leptons=[electron, muon, tau]
)
)
if sterile.mass > neutral_pion.mass:
universe.interactions += (
NuI.sterile_hadrons_interactions(
thetas=thetas, sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
leptons=[electron, muon, tau],
hadrons=[neutral_pion, charged_pion]
)
)
universe.init_kawano(electron=electron, neutrino=neutrino_e)
sterile,
])
thetas = defaultdict(float, {
'electron': 1e-3,
})
universe.interactions += (
SMI.neutrino_interactions(
leptons=[electron],
neutrinos=[neutrino_e]
) +
NuI.sterile_leptons_interactions(
thetas=thetas, sterile=sterile,
neutrinos=[neutrino_e],
leptons=[electron]
)
+ NuI.sterile_hadrons_interactions(
thetas=thetas, sterile=sterile,
neutrinos=[neutrino_e],
leptons=[electron],
hadrons=[neutral_pion]
)
)
universe.evolve(T_final)
""" ## Plots for comparison with articles """
neutrino_e,
neutrino_mu,
neutrino_tau,
sterile,
])
thetas = defaultdict(float, {
'electron': theta,
})
universe.interactions += (
SMI.neutrino_interactions(
leptons=[electron], neutrinos=[neutrino_e, neutrino_mu, neutrino_tau])
+ NuI.sterile_leptons_interactions(
thetas=thetas,
sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
leptons=[electron, muon]))
universe.init_kawano(electron=electron, neutrino=neutrino_e)
universe.init_oscillations(SMP.leptons.oscillations_map(),
(neutrino_e, neutrino_mu, neutrino_tau))
def step_monitor(universe):
# explanation of what is inside the file + first row which is a grid on y
if universe.step == 1:
for particle in [neutrino_e, neutrino_mu, neutrino_tau, sterile]:
with open(
op.join(
folder,
})
# kind = CollisionIntegralKind.{}
# {} =
# Full: I_coll = A + f_1 * B
# F_1: I_coll = A
# F_f: I_coll = f_1 * B
# Full_vacuum_decay: I_coll = I_coll = A_vacuum_decay + f_1 * B_vacuum_decay
# F_1_vacuum_decay: I_coll = A_vacuum_decay
# F_f_vacuum_decay: I_coll = f_1 * B_vacuum_decay
kind = CollisionIntegralKind.F_f_vacuum_decay
interaction = NuI.sterile_leptons_interactions(
thetas=thetas, sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
# leptons=[]
leptons=[electron],
kind=kind
)
def reaction_type(reaction):
return sum(reactant.side for reactant in reaction)
#interaction.integrals = [integral for integral in interaction.integrals if reaction_type(integral.reaction) == 2]
for inter in interaction:
inter.integrals = [integral for integral in inter.integrals
if reaction_type(integral.reaction) == 2]
universe.interactions += (interaction)
tau,
neutrino_e,
neutrino_mu,
neutrino_tau,
neutral_pion,
charged_pion,
sterile,
])
thetas = defaultdict(float, {
'electron': 1e-2,
})
universe.interactions += (NuI.sterile_leptons_interactions(
thetas=thetas,
sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
leptons=[electron, muon, tau]) + NuI.sterile_hadrons_interactions(
thetas=thetas,
sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
leptons=[electron, muon, tau],
hadrons=[neutral_pion, charged_pion]))
universe.evolve(T_final)
""" ## Plots for comparison with articles """
"""
### JCAP10(2012)014, Figure 9
<img src="figure_9.svg" width=100% /> """
"""
### JCAP10(2012)014, Figure 10
})
# kind = CollisionIntegralKind.{}
# {} =
# Full: I_coll = A + f_1 * B
# F_1: I_coll = A
# F_f: I_coll = f_1 * B
# Full_vacuum_decay: I_coll = I_coll = A_vacuum_decay + f_1 * B_vacuum_decay
# F_1_vacuum_decay: I_coll = A_vacuum_decay
# F_f_vacuum_decay: I_coll = f_1 * B_vacuum_decay
kind = CollisionIntegralKind.F_f_vacuum_decay
interaction = NuI.sterile_leptons_interactions(
thetas=thetas,
sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
# leptons=[]
leptons=[electron],
kind=kind)
def reaction_type(reaction):
return sum(reactant.side for reactant in reaction)
#interaction.integrals = [integral for integral in interaction.integrals if reaction_type(integral.reaction) == 2]
for inter in interaction:
inter.integrals = [
integral for integral in inter.integrals
if reaction_type(integral.reaction) == 2
neutral_pion,
neutrino_e,
neutrino_mu,
neutrino_tau,
sterile,
])
thetas = defaultdict(float, {'electron': theta})
interactions_SM = SMI.neutrino_interactions(
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau], leptons=[electron])
## N --> mu + e + nu_mu and mu --> e + nu_mu + nu_e
interactions_primary_Ff = NuI.sterile_leptons_interactions(
thetas=thetas,
sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
leptons=[electron, muon],
kind=CollisionIntegralKind.F_f_vacuum_decay)
interactions_primary_F1 = NuI.sterile_leptons_interactions(
thetas=thetas,
sterile=sterile,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
leptons=[electron, muon],
kind=CollisionIntegralKind.F_1_vacuum_decay)
interactions_secondary_Ff = NuI.interactions_decay_products(
interactions_primary=[interactions_primary_Ff],
interactions_SM=interactions_SM,
neutrinos=[neutrino_e, neutrino_mu, neutrino_tau],
leptons=[electron, muon],