slophep.Predictions.Math.BaryonicMathTools

slophep.Predictions.Math.BaryonicMathTools.LbToLcEllNu_PDF(K: dict, ctx: float, ctl: float, phi: float) → float

PDF as per Eq. (2.4) in https://arxiv.org/abs/1907.12554

Parameters:

• K (dict)

• ctx (float)

• ctl (float)

• phi (float)

Returns:

PDF

Return type:

float

slophep.Predictions.Math.BaryonicMathTools.LbToLcEllNu_amplitudes(q2: float, mB: float, mM: float, mb: float, mlight: float, ml: float, ff: dict, wc: dict, N: float) → dict

Calculate decay amplitudes. Replicates EOS implementation https://github.com/eos/eos/blob/v1.0.13/eos/b-decays/lambdab-to-lambdac-l-nu.cc.

Parameters:

• q2 (float) – Di-lepton invariant mass

• mB (float) – B-baryon mass

• mM (float) – Final baryon mass

• mb (float) – b-quark mass

• mlight (float) – resulting quark mass

• ml (float) – Charged lepton mass

• ff (dict) – Form factors

• wc (dict) – Wilson coefficients

• N (float) – Normalisation prefactor

Returns:

Amplitudes

Return type:

dict

slophep.Predictions.Math.BaryonicMathTools.LbToLcEllNu_norm_EOS(q2: float, mB: float, mM: float, ml: float, par: dict, qi_qj: str) → float

Calculate decay rate prefactor

Parameters:

• q2 (float) – Di-lepton invariant mass

• mB (float) – B-baryon mass

• mM (float) – Final baryon mass

• ml (float) – Charged lepton mass

• par (dict) – flavio parameter dict

• qi_qj (str) – Quark transition

Returns:

Rate pre-factor

Return type:

float

slophep.Predictions.Math.BaryonicMathTools.LbToLcEllNu_observables(q2: float, mB: float, mM: float, ml: float, A: dict, alpha: float) → dict

Calculation of Lb->LcEllNu observables, as per https://arxiv.org/abs/1907.12554. Replicates EOS implementation https://github.com/eos/eos/blob/v1.0.13/eos/b-decays/lambdab-to-lambdac-l-nu.cc.

Parameters:

• q2 (float) – Di-lepton invariant mass

• mB (float) – B-baryon mass

• mM (float) – Final baryon mass

• ml (float) – Charged lepton mass

• A (dict) – Amplitudes

• alpha (float) – Lc decay parameter

Returns:

Observables

Return type:

dict