feynlag.vacuum.masses

Mass-matrix extraction.

• build_mass_matrix(): double derive_by_array kernel (DLRSM1 port).

• scalar_mass_matrix(): real-fluctuation mass matrix M²_ij = ∂²V/∂φᵢ∂φⱼ |_vacuum with tadpole substitutions.

• charged_mass_matrix(): complex-field mass matrix M²_ij = ∂²V/∂φ̄ᵢ∂φⱼ |_vacuum via the Dummy-conjugate trick (SymPy cannot differentiate with respect to conjugate(φ) directly).

Functions

build_mass_matrix(potential, fields1[, fields2])	M_ij = ∂²(potential)/∂fields1_i ∂fields2_j as a Matrix.
charged_mass_matrix(potential, vacuum, fields)	Mass matrix of complex (charged) fields: ∂²V/∂φ̄ᵢ∂φⱼ.
gauge_mass_matrix(kinetic, vacuum, ...[, ...])	Gauge boson mass matrix from the scalar kinetic sector.
scalar_mass_matrix(potential, vacuum, fields)	Mass matrix of real fluctuation fields.
seesaw_light_mass(m_D, M_R)	Light-neutrino mass matrix in the seesaw approximation M_R ≫ m_D.
seesaw_mass_matrix(m_D, M_R)	The type-I-seesaw neutral-fermion Majorana mass matrix.