master
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a Code for the Combination of Indirect and Direct Constraints on High Energy Physics Models |
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master
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a Code for the Combination of Indirect and Direct Constraints on High Energy Physics Models |
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A class for approximate formulae of the EW precision observables. More...
#include <EWSMApproximateFormulae.h>
A class for approximate formulae of the EW precision observables.
The member functions in the current class compute the EW precision observables \(M_W\), \(\sin\theta_{\rm eff}^f\), \(\Gamma_f\), \(\Gamma_Z\), \(\sigma^0_h\), \(R^0_\ell\) \(R^0_c\) and \(R^0_b\), based on the approximate formulae given in [Awramik:2003rn], [Awramik:2004ge], [Awramik:2006uz], [Awramik:2008gi], [Freitas:2012sy], [Freitas:2013dpa] and [Freitas:2014hra]. (The actual implementation for \(M_W\) corresponds to arXiv:hep-ph/0311148v2, which updates the results presented in the journal version of [Awramik:2003rn].) The maximal deviations to the full results and the valid ranges of input parameters are summarized in the description of each function.
Definition at line 33 of file EWSMApproximateFormulae.h.
Public Member Functions | |
| double | dAlpha5hMw () const |
| The value of \(\Delta\alpha^{5}_{had}(M_Z^2)\) obtained from the \(W\)-boson mass, using the full two-loop EW corrections. More... | |
| double | DeltaKappa_b_TwoLoopEW_rem (const double Mw_i) const |
| \(\Delta\kappa_Z^{b, (\alpha^2)}\). More... | |
| double | DeltaKappa_l_TwoLoopEW_rem (const double Mw_i) const |
| \(\Delta\kappa_Z^{\ell, (\alpha^2)}\). More... | |
| double | DeltaR_TwoLoopEW_rem (const double Mw_i) const |
| \(\Delta r_{\rm rem}^{(\alpha^2)}\). More... | |
| EWSMApproximateFormulae (const EWSMcache &cache_i) | |
| Constructor. More... | |
| double | Gd_over_Gb_OLD () const |
| \(\Gamma_d/\Gamma_b\). More... | |
| double | Gu_over_Gb_OLD () const |
| \(\Gamma_u/\Gamma_b\). More... | |
| double | LEgAnueApprox () const |
| The effective (muon) neutrino-electron axial-vector coupling: gAnue. More... | |
| double | LEgLnuN2Approx () const |
| The effective neutrino nucleon LH coupling: gLnuN2. More... | |
| double | LEgRnuN2Approx () const |
| The effective neutrino nucleon RH coupling: gRnuN2. More... | |
| double | LEgVnueApprox () const |
| The effective (muon) neutrino-electron vector coupling: gVnue. More... | |
| double | LEP2AFBmuApprox (const double s) const |
| The \(e^+e^- \to \mu^+\mu^-\) forward-backward asymmetry at LEP2. More... | |
| double | LEP2AFBtauApprox (const double s) const |
| The \(e^+e^- \to \tau^+\tau^-\) forward-backward asymmetry at LEP2. More... | |
| double | LEP2dsigmadcosEApprox (const double s, const double cos) const |
| The \(e^+e^- \to e^+ e^-\) differential cross section at LEP2. More... | |
| double | LEP2dsigmadcosMuApprox (const double s, const double cos) const |
| The \(e^+e^- \to \mu^+\mu^-\) differential cross section at LEP2. More... | |
| double | LEP2dsigmadcosTauApprox (const double s, const double cos) const |
| The \(e^+e^- \to \tau^+\tau^-\) differential cross section at LEP2. More... | |
| double | LEP2sigmaHadronApprox (const double s) const |
| The \(e^+e^- \to hadrons\) cross section at LEP2. More... | |
| double | LEP2sigmaMuApprox (const double s) const |
| The \(e^+e^- \to \mu^+\mu^-\) cross section at LEP2. More... | |
| double | LEP2sigmaTauApprox (const double s) const |
| The \(e^+e^- \to \tau^+\tau^-\) cross section at LEP2. More... | |
| double | LEThetaLnuNApprox () const |
| The effective neutrino nucleon LH parameter: ThetaLnuN. More... | |
| double | LEThetaRnuNApprox () const |
| The effective neutrino nucleon RH parameter: ThetaRnuN. More... | |
| double | Mw () const |
| The \(W\)-boson mass with the full two-loop EW corrections. More... | |
| double | R0_bottom_OLD () const |
| \(R_b^0\). More... | |
| double | sin2thetaEff (const Particle p) const |
| The value of the effective weak mixing anlge for a given fermion. More... | |
| double | sin2thetaEff_b_full () const |
| \(\sin^2\theta_{\rm eff}^b\) with the full two-loop EW corrections. More... | |
| double | sin2thetaEff_l_full () const |
| \(\sin^2\theta_{\rm eff}^l\) with the full two-loop EW corrections. More... | |
| double | X (const std::string observable) const |
| \(\Gamma_\nu\), \(\Gamma_{e,\mu}\), \(\Gamma_\tau\), \(\Gamma_u\), \(\Gamma_c\), \(\Gamma_{d,s}\), \(\Gamma_b\), \(\Gamma_Z\), \(R^0_\ell\), \(R^0_c\), \(R^0_b\), or \(\sigma^0_h\). More... | |
| double | X_extended (const std::string observable) const |
| \(\Gamma_\nu\), \(\Gamma_{e,\mu}\), \(\Gamma_\tau\), \(\Gamma_u\), \(\Gamma_c\), \(\Gamma_{d,s}\), \(\Gamma_b\), \(\Gamma_Z\), \(R^0_\ell\), \(R^0_c\), \(R^0_b\), or \(\sigma^0_h\). More... | |
| double | X_full (const std::string observable) const |
| \(\Gamma_{e,\mu}\), \(\Gamma_\tau\), \(\Gamma_\nu\), \(\Gamma_u\), \(\Gamma_c\), \(\Gamma_{d,s}\), \(\Gamma_b\), \(\Gamma_Z\), \(R^0_\ell\), \(R^0_c\), \(R^0_b\), or \(\sigma^0_h\). More... | |
| double | X_full_2_loop (const std::string observable) const |
| \(\Gamma_\nu\), \(\Gamma_{e,\mu}\), \(\Gamma_\tau\), \(\Gamma_u\), \(\Gamma_c\), \(\Gamma_{d,s}\), \(\Gamma_b\), \(\Gamma_Z\), \(R^0_\ell\), \(R^0_c\), \(R^0_b\), or \(\sigma^0_h\). More... | |
Private Member Functions | |
| double | sin2thetaEff_b () const |
| \(\sin^2\theta_{\rm eff}^b\) with the full two-loop EW corrections. More... | |
| double | sin2thetaEff_l (const QCD::lepton l) const |
| \(\sin^2\theta_{\rm eff}^\ell\) with the full two-loop EW corrections. More... | |
| double | sin2thetaEff_q (const QCD::quark q) const |
| \(\sin^2\theta_{\rm eff}^q\) with the full two-loop EW corrections (bosonic two-loop EW corrections are missing for \(q=b\)). More... | |
Private Attributes | |
| const EWSMcache & | mycache |
| A reference to an object of type StandardModel. More... | |
| EWSMApproximateFormulae::EWSMApproximateFormulae | ( | const EWSMcache & | cache_i | ) |
Constructor.
| [in] | cache_i | a reference to an object of type EWSMcache |
Definition at line 15 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::dAlpha5hMw | ( | ) | const |
The value of \(\Delta\alpha^{5}_{had}(M_Z^2)\) obtained from the \(W\)-boson mass, using the full two-loop EW corrections.
This function is based on the approximate formula for \(M_W\) presented in [Awramik:2003rn]. See notes in \(Mw()\) function.
Definition at line 74 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::DeltaKappa_b_TwoLoopEW_rem | ( | const double | Mw_i | ) | const |
\(\Delta\kappa_Z^{b, (\alpha^2)}\).
This function is based on the approximate formula for the irreducible EW two-loop contribution to \(\Delta\kappa_Z^b = \kappa_Z^b - 1\) presented in [Awramik:2008gi], which includes the complete fermionic two-loop EW corrections as well as leading three-loop corrections. The bosonic two-loop EW corrections are not included. The approximate formula reproduces the full result to be better than \(1.4\times 10^{-5}\) for the Higgs mass 10 GeV \(\leq m_h\leq\) 1 TeV, if other inputs vary within their \(2\sigma\) ranges of the following outdated data: \(\alpha_s(M_Z^2) = 0.119\pm 0.002\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.05907\pm 0.00036\), \(M_Z = 91.1876\pm 0.0021\) GeV and \(m_t = 172.5\pm 2.3\) GeV.
| [in] | Mw_i | the \(W\)-boson mass |
Definition at line 379 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::DeltaKappa_l_TwoLoopEW_rem | ( | const double | Mw_i | ) | const |
\(\Delta\kappa_Z^{\ell, (\alpha^2)}\).
This function is based on the approximate formula for the irreducible EW two-loop contribution to \(\Delta\kappa_Z^\ell = \kappa_Z^\ell - 1\) presented in [Awramik:2006uz], which includes the complete two-loop EW corrections as well as leading three-loop corrections. The approximate formula reproduces the full result to be better than \(1.8\times 10^{-5}\) for the Higgs mass 10 GeV \(\leq m_h\leq\) 1 TeV, if other inputs vary within their \(2\sigma\) ranges of the following outdated data: \(\alpha_s(M_Z^2) = 0.119\pm 0.002\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.05907\pm 0.00036\), \(M_Z = 91.1876\pm 0.0021\) GeV and \(m_t = 172.5\pm 2.3\) GeV.
| [in] | Mw_i | the \(W\)-boson mass |
Definition at line 346 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::DeltaR_TwoLoopEW_rem | ( | const double | Mw_i | ) | const |
\(\Delta r_{\rm rem}^{(\alpha^2)}\).
This function is based on the approximate formula for the irreducible EW two-loop contribution to \(\Delta r\) presented in [Awramik:2006uz], which includes the complete two-loop EW corrections as well as leading three-loop corrections. The approximate formula reproduces the full result to be better than \(2.7\times 10^{-5}\) for the Higgs mass 10 GeV \(\leq m_h\leq\) 1 TeV, if other inputs vary within their \(2\sigma\) ranges of the following outdated data: \(\alpha_s(M_Z^2) = 0.119\pm 0.002\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.05907\pm 0.00036\), \(M_Z = 91.1876\pm 0.0021\) GeV and \(m_t = 172.5\pm 2.3\) GeV.
| [in] | Mw_i | the \(W\)-boson mass |
Definition at line 310 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::Gd_over_Gb_OLD | ( | ) | const |
\(\Gamma_d/\Gamma_b\).
This function is based on the approximate formula for the ratio \(\Gamma_d/\Gamma_b\) obtained from A. Freitas in private communication on Sep. 21, 2013, which includes the complete fermionic two-loop EW corrections as well as leading three-loop corrections. The bosonic two-loop EW corrections are not included. The approximate formula reproduces the full result to be better than \(3.0\times 10^{-6}\) for the Higgs mass 10 GeV \(\leq m_h\leq\) 1 TeV, if other inputs vary within their \(2\sigma\) ranges of the following outdated data: \(\alpha_s(M_Z^2) = 0.1184\pm 0.0007\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.05900\pm 0.00033\), \(M_Z = 91.1876\pm 0.0021\) GeV and \(m_t = 173.2\pm 0.9\) GeV.
Definition at line 569 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::Gu_over_Gb_OLD | ( | ) | const |
\(\Gamma_u/\Gamma_b\).
This function is based on the approximate formula for the ratio \(\Gamma_u/\Gamma_b\) obtained from A. Freitas in private communication on Sep. 21, 2013, which includes the complete fermionic two-loop EW corrections as well as leading three-loop corrections. The bosonic two-loop EW corrections are not included. The approximate formula reproduces the full result to be better than \(3.3\times 10^{-6}\) for the Higgs mass 10 GeV \(\leq m_h\leq\) 1 TeV, if other inputs vary within their \(2\sigma\) ranges of the following outdated data: \(\alpha_s(M_Z^2) = 0.1184\pm 0.0007\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.05900\pm 0.00033\), \(M_Z = 91.1876\pm 0.0021\) GeV and \(m_t = 173.2\pm 0.9\) GeV.
Definition at line 517 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEgAnueApprox | ( | ) | const |
The effective (muon) neutrino-electron axial-vector coupling: gAnue.
This function is based on the approximate formula for the coupling, obtained fitting the SM predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 6096 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEgLnuN2Approx | ( | ) | const |
The effective neutrino nucleon LH coupling: gLnuN2.
This function is based on the approximate formula for the coupling, obtained fitting the ZFitter predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 5956 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEgRnuN2Approx | ( | ) | const |
The effective neutrino nucleon RH coupling: gRnuN2.
This function is based on the approximate formula for the coupling, obtained fitting the ZFitter predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 5984 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEgVnueApprox | ( | ) | const |
The effective (muon) neutrino-electron vector coupling: gVnue.
This function is based on the approximate formula for the coupling, obtained fitting the SM predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 6068 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEP2AFBmuApprox | ( | const double | s | ) | const |
The \(e^+e^- \to \mu^+\mu^-\) forward-backward asymmetry at LEP2.
This function is based on the approximate formula for the forward-backward asymmetry, obtained fitting the ZFitter predictions to a semi-analytical expression as function of the SM parameters.
Definition at line 1806 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEP2AFBtauApprox | ( | const double | s | ) | const |
The \(e^+e^- \to \tau^+\tau^-\) forward-backward asymmetry at LEP2.
This function is based on the approximate formula for the forward-backward asymmetry, obtained fitting the ZFitter predictions to a semi-analytical expression as function of the SM parameters.
Definition at line 2132 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEP2dsigmadcosEApprox | ( | const double | s, |
| const double | cos | ||
| ) | const |
The \(e^+e^- \to e^+ e^-\) differential cross section at LEP2.
This function is based on the approximate formula for the differential cross section, obtained fitting the ZFitter predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 2461 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEP2dsigmadcosMuApprox | ( | const double | s, |
| const double | cos | ||
| ) | const |
The \(e^+e^- \to \mu^+\mu^-\) differential cross section at LEP2.
This function is based on the approximate formula for the differential cross section, obtained fitting the ZFitter predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 3851 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEP2dsigmadcosTauApprox | ( | const double | s, |
| const double | cos | ||
| ) | const |
The \(e^+e^- \to \tau^+\tau^-\) differential cross section at LEP2.
This function is based on the approximate formula for the differential cross section, obtained fitting the ZFitter predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 4902 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEP2sigmaHadronApprox | ( | const double | s | ) | const |
The \(e^+e^- \to hadrons\) cross section at LEP2.
This function is based on the approximate formula for the cross section, obtained fitting the ZFitter predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 2295 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEP2sigmaMuApprox | ( | const double | s | ) | const |
The \(e^+e^- \to \mu^+\mu^-\) cross section at LEP2.
This function is based on the approximate formula for the cross section, obtained fitting the ZFitter predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 1643 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEP2sigmaTauApprox | ( | const double | s | ) | const |
The \(e^+e^- \to \tau^+\tau^-\) cross section at LEP2.
This function is based on the approximate formula for the cross section, obtained fitting the ZFitter predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 1969 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEThetaLnuNApprox | ( | ) | const |
The effective neutrino nucleon LH parameter: ThetaLnuN.
This function is based on the approximate formula for the parameter, obtained fitting the ZFitter predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 6012 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::LEThetaRnuNApprox | ( | ) | const |
The effective neutrino nucleon RH parameter: ThetaRnuN.
This function is based on the approximate formula for the parameter, obtained fitting the ZFitter predictions to a semi- analytical expression as function of the SM parameters.
Definition at line 6040 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::Mw | ( | ) | const |
The \(W\)-boson mass with the full two-loop EW corrections.
This function is based on the approximate formula for \(M_W\) presented in [Awramik:2003rn], which includes the complete two-loop EW corrections as well as leading three-loop corrections, and the four-loop corrections to the rho parameter. (The four-loop effects are not included in the results presented in the journal version of [Awramik:2003rn]. The parametrization used here corresponds to the results in arXiv:hep-ph/0311148v2, which updates the the ones presented in the published version.) The approximate formula reproduces the full result to be better than 0.5 (0.25) MeV over the range of 10 GeV \(\leq m_h\leq\) 1 TeV (100 GeV \(\leq m_h \leq\) 1 TeV), if other inputs vary within their \(2\sigma\) ranges of the 2003 data, where their \(1\sigma\) ranges are given by \(\alpha_s = 0.1190\pm 0.0027\), \(\Delta\alpha^{\ell+5q} = 0.05907\pm 0.00036\), \(M_Z = 91.1875\pm 0.0021\) GeV, and \(m_t = 174.3\pm 5.1\) GeV.
Definition at line 23 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::R0_bottom_OLD | ( | ) | const |
\(R_b^0\).
This function is based on the approximate formula for \(R_b^0=\Gamma_b/\Gamma_h\) presented in [Freitas:2012sy], which includes the complete fermionic two-loop EW corrections as well as leading three-loop corrections. The bosonic two-loop EW corrections are not included. The approximate formula reproduces the full result to be better than \(10^{-6}\) for the Higgs mass 10 GeV \(\leq m_h\leq\) 1 TeV, if other inputs vary within their \(2\sigma\) ranges of the following outdated data: \(\alpha_s(M_Z^2) = 0.1184\pm 0.0007\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.05900\pm 0.00033\), \(M_Z = 91.1876\pm 0.0021\) GeV and \(m_t = 173.2\pm 0.9\) GeV.
Definition at line 412 of file EWSMApproximateFormulae.cpp.
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The value of the effective weak mixing anlge for a given fermion.
| [in] | p | name of a particle |
Definition at line 83 of file EWSMApproximateFormulae.h.
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\(\sin^2\theta_{\rm eff}^b\) with the full two-loop EW corrections.
This function is based on the approximate formulae for the weak mixing angle presented in [arXiv:1607.08375 hep-ph] (add citation), which include the complete two-loop EW corrections as well as leading three-loop corrections. The approximate formulae reproduce the full results with average and maximal deviations of \(2\times 10^{-7}\) and \(1.3\times 10^{-6}\), respectively, for the input parameters in the following ranges: \(m_h = 125.1 \pm 5\) GeV, \(\alpha_s(M_Z^2) = 0.1184\pm 0.005\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.059\pm 0.0005\), \(M_Z = 91.1876\pm 0.0042\) GeV and \(m_t = 173.2\pm 4.0\) GeV.
Definition at line 274 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::sin2thetaEff_b_full | ( | ) | const |
\(\sin^2\theta_{\rm eff}^b\) with the full two-loop EW corrections.
This function is based on the approximate formulae for presented in arXiv: 1906.08815, which include the complete two-loop EW corrections as well as leading three-loop corrections. The approximate formulae reproduce the full results to be better than 0.0025 * 10^-4, if inputs vary within the ranges \(\alpha_s(M_Z^2) = 0.1184\pm 0.0050\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.0590\pm 0.0005\), \(M_Z = 91.1876\pm 0.0084\) GeV, \(155 < m_t < 192\) GeV and \(25 < m_h < 225\) GeV.
Definition at line 1540 of file EWSMApproximateFormulae.cpp.
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\(\sin^2\theta_{\rm eff}^\ell\) with the full two-loop EW corrections.
This function is based on the approximate formulae for the leptonic weak mixing angles presented in [Awramik:2006uz] (see also [Awramik:2004ge]), which include the complete two-loop EW corrections as well as leading three-loop corrections. The approximate formulae reproduce the full results to be better than \(4.5\times 10^{-6}\) for the Higgs mass 10 GeV \(\leq m_h\leq\) 1 TeV, if other inputs vary within their \(2\sigma\) ranges of the following outdated data: \(\alpha_s(M_Z^2) = 0.119\pm 0.002\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.05907\pm 0.00036\), \(M_Z = 91.1876\pm 0.0021\) GeV and \(m_t = 172.5\pm 2.3\) GeV.
| [in] | l | name of a lepton (see QCD::lepton) |
Definition at line 132 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::sin2thetaEff_l_full | ( | ) | const |
\(\sin^2\theta_{\rm eff}^l\) with the full two-loop EW corrections.
This function is based on the approximate formulae for presented in arXiv: 1906.08815, which include the complete two-loop EW corrections as well as leading three-loop corrections. The approximate formulae reproduce the full results to be better than 0.0056 * 10^-4, if inputs vary within the ranges \(\alpha_s(M_Z^2) = 0.1184\pm 0.0050\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.0590\pm 0.0005\), \(M_Z = 91.1876\pm 0.0084\) GeV, \(155 < m_t < 192\) GeV and \(25 < m_h < 225\) GeV.
Definition at line 1590 of file EWSMApproximateFormulae.cpp.
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\(\sin^2\theta_{\rm eff}^q\) with the full two-loop EW corrections (bosonic two-loop EW corrections are missing for \(q=b\)).
This function is based on the approximate formulae for the weak mixing angles presented in [Awramik:2006uz] and [Awramik:2008gi], which include the complete two-loop EW corrections as well as leading three-loop corrections. It is noted that bosonic two-loop EW corrections are missing for \(q=b\). The approximate formulae reproduce the full results to be better than \(4.5\times 10^{-6}\) ( \(4.3\times 10^{-6}\)) for the Higgs mass 10 GeV \(\leq m_h\leq\) 1 TeV in the case of \(q=u,d,s,c\) ( \(q=b\)), if other inputs vary within their \(2\sigma\) ranges of the following outdated data: \(\alpha_s(M_Z^2) = 0.119\pm 0.002\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.05907\pm 0.00036\), \(M_Z = 91.1876\pm 0.0021\) GeV and \(m_t = 172.5\pm 2.3\) GeV.
| [in] | q | name of a quark (see QCD::quark) |
Definition at line 191 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::X | ( | const std::string | observable | ) | const |
\(\Gamma_\nu\), \(\Gamma_{e,\mu}\), \(\Gamma_\tau\), \(\Gamma_u\), \(\Gamma_c\), \(\Gamma_{d,s}\), \(\Gamma_b\), \(\Gamma_Z\), \(R^0_\ell\), \(R^0_c\), \(R^0_b\), or \(\sigma^0_h\).
This function is based on the approximate formulae for partial and total widths of the \(Z\) boson and hadronic \(Z\)-pole cross section presented in [Freitas:2014hra], which include the complete fermionic two-loop EW corrections as well as leading three-loop corrections. The bosonic two-loop EW corrections are not included. The approximate formulae reproduce the full results to be better than 0.001 MeV, 0.01 MeV, 0.1 pb, \(0.1\times 10^{-3}\) and \(0.01\times 10^{-3}\) for \(\Gamma_f\), \(\Gamma_Z\), \(\sigma^0_h\), \(R^0_\ell\) and \(R^0_{c,b}\), respectively, if inputs vary within the ranges \(\alpha_s(M_Z^2) = 0.1184\pm 0.0050\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.0590\pm 0.0005\), \(M_Z = 91.1876\pm 0.0042\) GeV, \(m_t = 173.2\pm 2.0\) GeV and \(m_h = 125.7\pm 2.5\) GeV.
| [in] | observable | name of the observable to be computed: "Gamma_nu", "Gamma_e_mu", "Gamma_tau", "Gamma_u", "Gamma_c", "Gamma_d_s", "Gamma_b", "GammaZ", "sigmaHadron", "R0_lepton", "R0_charm", "R0_bottom" |
Definition at line 621 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::X_extended | ( | const std::string | observable | ) | const |
\(\Gamma_\nu\), \(\Gamma_{e,\mu}\), \(\Gamma_\tau\), \(\Gamma_u\), \(\Gamma_c\), \(\Gamma_{d,s}\), \(\Gamma_b\), \(\Gamma_Z\), \(R^0_\ell\), \(R^0_c\), \(R^0_b\), or \(\sigma^0_h\).
This function is based on the approximate formulae for partial and total widths of the \(Z\) boson and hadronic \(Z\)-pole cross section presented in [Freitas:2014hra], which include the complete fermionic two-loop EW corrections as well as leading three-loop corrections. The bosonic two-loop EW corrections are not included. The approximate formulae reproduce the full results to be better than 0.001 MeV, 0.01 MeV, 0.1 pb, \(0.1\times 10^{-3}\) and \(0.01\times 10^{-3}\) for \(\Gamma_f\), \(\Gamma_Z\), \(\sigma^0_h\), \(R^0_\ell\) and \(R^0_{c,b}\), respectively, if inputs vary within the ranges \(\alpha_s(M_Z^2) = 0.1184\pm 0.0050\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.0590\pm 0.0005\), \(M_Z = 91.1876\pm 0.0084\) GeV, \(165 < m_t < 190\) GeV and \(70 < m_h < 1000\) GeV.
| [in] | observable | name of the observable to be computed: "Gamma_nu", "Gamma_e_mu", "Gamma_tau", "Gamma_u", "Gamma_c", "Gamma_d_s", "Gamma_b", "GammaZ", "sigmaHadron", "R0_lepton", "R0_charm", "R0_bottom" |
Definition at line 745 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::X_full | ( | const std::string | observable | ) | const |
\(\Gamma_{e,\mu}\), \(\Gamma_\tau\), \(\Gamma_\nu\), \(\Gamma_u\), \(\Gamma_c\), \(\Gamma_{d,s}\), \(\Gamma_b\), \(\Gamma_Z\), \(R^0_\ell\), \(R^0_c\), \(R^0_b\), or \(\sigma^0_h\).
This function is based on the approximate formulae for partial and total widths of the \(Z\) boson and hadronic \(Z\)-pole cross section presented in arXiv: 1906.08815, which include the complete two-loop EW corrections as well as leading three-loop corrections. The approximate formulae reproduce the full results to be better than 0.0015 MeV, 0.0015 MeV, 0.002 MeV, 0.006 MeV, 0.006 MeV, 0.007 MeV, 0.007 MeV, 0.04 MeV, \( 0.12\times 10^{-3}\), \( 0.1\times 10^{-3}\), \( 0.12\times 10^{-3}\), and 0.15 pb, for \(\Gamma_{e,\mu,\tau,\nu}\), \(\Gamma_{q\not = b}\), \(\Gamma_{b}\), \(\Gamma_Z\), \(R^0_{l}\), \(R^0_{c,b}\) and \(\sigma^0_h\), respectively, if inputs vary within the ranges \(\alpha_s(M_Z^2) = 0.1184\pm 0.0050\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.0590\pm 0.0005\), \(M_Z = 91.1876\pm 0.0084\) GeV, \(155 < m_t < 192\) GeV and \(25 < m_h < 225\) GeV.
| [in] | observable | name of the observable to be computed: "Gamma_nu", "Gamma_e_mu", "Gamma_tau", "Gamma_u", "Gamma_c", "Gamma_d_s", "Gamma_b", "GammaZ", "sigmaHadron", "R0_lepton", "R0_charm", "R0_bottom" |
Definition at line 1227 of file EWSMApproximateFormulae.cpp.
| double EWSMApproximateFormulae::X_full_2_loop | ( | const std::string | observable | ) | const |
\(\Gamma_\nu\), \(\Gamma_{e,\mu}\), \(\Gamma_\tau\), \(\Gamma_u\), \(\Gamma_c\), \(\Gamma_{d,s}\), \(\Gamma_b\), \(\Gamma_Z\), \(R^0_\ell\), \(R^0_c\), \(R^0_b\), or \(\sigma^0_h\).
This function is based on the approximate formulae for partial and total widths of the \(Z\) boson and hadronic \(Z\)-pole cross section presented in arXiv: 1804.10236, which include the complete two-loop EW corrections as well as leading three-loop corrections. The approximate formulae reproduce the full results to be better than 0.001 MeV, 0.002 MeV, 0.006 MeV, 0.012 MeV, \( 0.1\times 10^{-3}\), \( 0.01\times 10^{-3}\) and 0.1 pb, for \(\Gamma_{e,\mu,\tau,\nu}\), \(\Gamma_{q\not = b}\), \(\Gamma_{b}\), \(\Gamma_Z\), \(R^0_{l}\), \(R^0_{c,b}\) and \(\sigma^0_h\), respectively, if inputs vary within the ranges \(\alpha_s(M_Z^2) = 0.1184\pm 0.0050\), \(\Delta\alpha^{\ell+5q}(M_Z^2) = 0.0590\pm 0.0005\), \(M_Z = 91.1876\pm 0.0042\) GeV, \(169.2 < m_t < 177.2\) GeV and \(120.1 < m_h < 130.1\) GeV. For \(m_h\) beyond [85,165] GeV there are significant differences with some predicions of X_extended, which go well beyond the expected size of the bosonic corrections (>~2x). The function redirects to X_extended in that case.
| [in] | observable | name of the observable to be computed: "Gamma_nu", "Gamma_e_mu", "Gamma_tau", "Gamma_u", "Gamma_c", "Gamma_d_s", "Gamma_b", "GammaZ", "sigmaHadron", "R0_lepton", "R0_charm", "R0_bottom" |
Definition at line 1036 of file EWSMApproximateFormulae.cpp.
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private |
A reference to an object of type StandardModel.
Definition at line 577 of file EWSMApproximateFormulae.h.
1.9.2