高能下的约束瞬子与重子数不守恒
高能物理 - 唯象学
2009-10-22 v1
摘要
高能下重子数不守恒过程的总截面通常参数化为 σ t o t a l ∝ exp ( 4 π α F ( ε ) ) \sigma_{total}\propto\exp(\frac{4\pi}{\alpha} F(\varepsilon)) σ t o t a l ∝ exp ( α 4 π F ( ε )) ε = s / E 0 \varepsilon=\sqrt{s}/E_0 ε = s / E 0 E 0 = 6 π m w / α E_0 = \sqrt{6} \pi m_w/\alpha E 0 = 6 π m w / α F ( ε ) F(\varepsilon) F ( ε ) F ( ε ) = − 1 + 9 8 ε 4 / 3 − 9 16 ε 2 − 9 32 ( m h m w ) 2 ε 8 / 3 log ( 1 3 ε ( 2 m w γ m w ) 2 ) + O ( ε 8 / 3 ) F(\varepsilon)= -1+\frac{9}{8}\varepsilon^{4/3} -\frac{9}{16}\varepsilon^2 -\frac{9}{32} \left( \frac{m_h}{m_w} \right)^2 \varepsilon^{8/3}\log\left( \frac{1}{3\varepsilon}\left( \frac{2m_w}{\gamma m_w} \right)^2 \right) + O(\varepsilon^{8/3}) F ( ε ) = − 1 + 8 9 ε 4/3 − 16 9 ε 2 − 32 9 ( m w m h ) 2 ε 8/3 log ( 3 ε 1 ( γ m w 2 m w ) 2 ) + O ( ε 8/3 ) F ( ε ) F(\varepsilon) F ( ε ) ε 8 / 3 \varepsilon^{8/3} ε 8/3 ( m h / m w ) 2 (m_h/m_w)^2 ( m h / m w ) 2 log ( ε ) \log(\varepsilon) log ( ε ) Δ S ∼ ( m ρ ) 4 log ( m ρ ) / g 2 \Delta S\sim (m\rho)^4 \log(m\rho)/g^2 Δ S ∼ ( m ρ ) 4 log ( m ρ ) / g 2 ρ \rho ρ ρ \rho ρ F ( ε ) F(\varepsilon) F ( ε ) W W W F ( ε ) = − 1 + 9 8 ( 2 3 ) 2 / 3 ε 4 / 3 + … , ε ≪ 1 ≪ ε ( m h m w ) 3 / 2 F(\varepsilon)=-1+ \frac{9}{8}\left( \frac{2}{3} \right)^{2/3} \varepsilon^{4/3} +\ldots \, \, , \, \, \varepsilon\ll 1\ll \varepsilon \left( \frac{m_h}{m_w} \right)^{3/2} F ( ε ) = − 1 + 8 9 ( 3 2 ) 2/3 ε 4/3 + … , ε ≪ 1 ≪ ε ( m w m h ) 3/2
引用
@article{arxiv.hep-ph/9212215,
title = {Constrained Instanton and Baryon Number Non--Conservation at High Energies},
author = {P. G. Silvestrov},
journal= {arXiv preprint arXiv:hep-ph/9212215},
year = {2009}
}
备注
20 pages, BUDKERINP 92--92