Calculation of Quarkonium Spectrum and $m_b, m_c$ to Order $α_s^4$

Details Calculation of Quarkonium Spectrum and $m_b, m_c$ to Order $α_s^4$ Calculation of Quarkonium Spectrum and $m_b, m_c$ to Order $α_s^4$

1997-11-11

arxiv.org/abs/hep-ph/9711287v1

Phys.Rev.D58:094022,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

Plain TeX file

Scientific paper

10.1103/PhysRevD.58.094022

We include two loop, relativistic one loop and second order relativistic tree level corrections, plus leading nonperturbative contributions, to obtain a calculation of the lower states in the heavy quarkonium spectrum correct up to, and including, $O(\alpha_s^4)$ and leading $\Lambda^4/m^4$ terms. This allows us, in particular, to obtain a model independent determination of the pole masses of the $b, c$ quarks, $$m_b=5 015^{+110}_{-70} mev; m_c=1 884^{+222}_{-133} mev$$ to which correspond the $\bar{\hbox{MS}}$ masses, $$\bar{m}_b(\bar{m}_b^2)=4 453^{+50}_{-32} mev; \bar{m}_c(\bar{m}_c^2)=1 547^{+169}_{-102} mev.$$ The decay $\Gamma(\Upsilon\to e^+e^-)$ is found in agreement with experiment, $$\Gamma(\Upsilon\to e^+e^-)=1.135^{+0.27}_{-0.29} kev (\hbox{exp.}=1.320\pm0.04 kev),$$ and the hyperfine splitting is predicted to be $$M(\Upsilon)-M(\eta)=48.5^{+15.7}_{-12.2} mev.$$

Affiliated with

Also associated with

No associations

Rating

Calculation of Quarkonium Spectrum and $m_b, m_c$ to Order $α_s^4$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Calculation of Quarkonium Spectrum and $m_b, m_c$ to Order $α_s^4$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Calculation of Quarkonium Spectrum and $m_b, m_c$ to Order $α_s^4$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-201101