Comments (1)
A better script is:
from math import pi, log, sqrt, sin, cos, asin eV = 1. KeV = 1e3 * eV MeV = 1e6 * eV GeV = 1e9 * eV M = 76500 * MeV M0 = 87640 * MeV m_u = 250 * MeV m_d = 250 * MeV m_e = 0.511 * MeV m_mu = 105.6 * MeV m_tau = 1777 * MeV g = sqrt(0.039 * pi**2) theta = asin(sqrt(0.238)) s_t = sin(theta) c_t = cos(theta) #m_H = 3 * GeV #m_H = 200 * GeV m_H = 1000 * GeV #print g**2/(384*pi**2) * M * log(m_H**2) / MeV #print g**2/(384*pi**2) * M0 * (1 + 10*s_t**2/c_t**2)* log(m_H**2) / MeV delta_M_e = - g**2 * M**2 / pi**2 * (5./36 + 1./48 * \ (2*log(m_u**2/M**2) + log(m_d**2/M**2) + log(m_e**2/M**2))) #delta_M_mu = - g**2 * M**2 / pi**2 * (5./36 + 1./48 * \ # (2*log(m_u**2/M**2) + log(m_d**2/M**2) + log(m_mu**2/M**2))) #delta_M_tau = - g**2 * M**2 / pi**2 * (5./36 + 1./48 * \ # (2*log(m_u**2/M**2) + log(m_d**2/M**2) + log(m_tau**2/M**2))) delta_M0 = - g**2 * M0**2 / (pi**2 * c_t**2) * ( \ 1./108 * (40*c_t**4 - 50*c_t**2 + 25 ) + \ 1./72 * (8 *c_t**4 - 10*c_t**2 + 5 ) * log(m_u**2/M0**2) + \ 1./72 * (2 *c_t**4 - c_t**2 + 1./2) * log(m_d**2/M0**2) + \ 1./48 * (4 *c_t**4 - 6 *c_t**2 + 3 ) * log(m_e**2/M0**2)) M_higgs = 120 * MeV M0_higgs = 140 * MeV print 0.5 * delta_M_e / M / MeV print 0.5 * delta_M0 / M0 / MeV print "bare masses:" print M / GeV print M0 / GeV print "shifted masses:" print (M + 0.5 * delta_M_e / M + M_higgs) / GeV print (M0 + 0.5 * delta_M0 / M0 + M0_higgs) / GeV print "shifted masses (correct):" print (M + 3080 * MeV) / GeV print (M0 + 3310 * MeV) / GeV print "experimental values:" print 80.399 print 91.1876
Which produces:
1600.76296787 1702.62148258 bare masses: 76.5 87.64 shifted masses: 78.2207629679 89.4826214826 shifted masses (correct): 79.58 90.95 experimental values: 80.399 91.1876
from theoretical-physics.
Related Issues (20)
- Error message format and colors HOT 1
- DFT Total energy is missing the nucleus-nucleus term
- Explain more the 1/2 in E_H[n]
- Review notation in DFT notes
- DFT: review U energies example
- great QM notes
- Check Gaunt coefficients and fix if needed HOT 1
- 6j symbol mistake in HF derivation
- Relation between Fourier transform, series, discrete Fourier transform, etc.
- Stat Mech Notes? HOT 11
- Add complex analysis section
- Add explanation about material derivative to fluid flow
- Add notes about Wirtinger derivatives HOT 2
- Build a version with mathjax HOT 4
- Derivation in section "Total energy" of DFT page is unclear HOT 5
- Add microcanonical treatment of ideal gas
- Breaking math formulas into multiple lines (whether to repeat the sign), possibly automate it
- Improve the gamma function derivation
- Use SVG math instead of png or mathjax HOT 7
- Use sphinx-math-dollar HOT 4
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from theoretical-physics.