158 research outputs found
Top mass determination and O (alpha_S^5 m) correction to toponium 1S energy level
Recently the full O(alpha_S^5 m, alpha_S^5 m log(alpha_S)) correction to the
heavy quarkonium 1S energy level has been computed (except the a_3-term in the
QCD potential). We point out that the full correction (including the
log(alpha_S)-term) is approximated well by the large-beta_0 approximation.
Based on the assumption that this feature holds up to higher orders, we discuss
why the top quark pole mass cannot be determined to better than O(Lambda_{QCD})
accuracy at a future e^+e^- collider, while the MS-bar mass can be determined
to about 40 MeV accuracy (provided the 4-loop MSbar-pole mass relation will be
computed in due time).Comment: LaTeX, 10 pages, 4 eps-figures; Version to appear in Phys. Rev. D,
Rapid Communicatio
Perturbative heavy quarkonium spectrum at next-to-next-to-next-to-leading order
We compute the energy levels of some of the lower-lying heavy quarkonium
states perturbatively up to O(alpha_s^5*m) and O(alpha_s^5*m*log[alpha_s]).
Stability of the predictions depends crucially on the unknown 4-loop pole-MSbar
mass relation. We discuss the current status of the predictions with respect to
the observed bottomonium spectrum.Comment: Short review on non-perturbative contributions included at the end;
version to appear in Phys.Lett.; 7 pages, 2 figure
Strong IR Cancellation in Heavy Quarkonium and Precise Top Mass Determination
Combining recent perturbative analyses on the static QCD potential and the
quark pole mass, we find that, for the heavy quarkonium states ,
and , (1) ultra-soft (US) corrections in the binding
energies are small, and (2) there is a stronger cancellation of IR
contributions than what has been predicted by renormalon dominance hypothesis.
By contrast, for a hypothetical heavy quarkonium system with a small number of
active quark flavors (), we observe evidence that renormalon
dominance holds accurately and that non-negligible contributions from US
corrections exist. In addition, we examine contributions of renormalons at . As an important consequence, we improve on a previous prediction for
possible achievable accuracy of top quark --mass measurement
at a future linear collider and estimate that in principle 20--30~MeV accuracy
is reachable.Comment: 17 pages, 7 figures, 3 tables; Revisions in ver.2: We added (i) a
more conservative error estimate of m_t determination, (ii) discussion on
u=+1 and u=-1 renormalons, (iii) interpretation of PS-schem
Third order Coulomb correction to ttbar threshold cross section
We report on our result of third order Coulomb correction to the cross
section sigma(ee -> ttbar) near threshold. Analytic expression for the Coulomb
energy and wave function at the origin are obtained. We discuss the
significance of the Coulomb correction to the threshold cross section and heavy
quarkonium phenomenology.Comment: To appear in the proceedings of the 7th International Symposium on
Radiative Corrections(RADCOR05), Shonan Village, Japana Oct. 200
Off-shell Suppression of Renormalons in Non-relativistic QCD Boundstates
We study an effect of the off-shellness of the quark and antiquark inside a
heavy quarkonium system on IR renormalons contained in the perturbative
computations of the quarkonium energy levels. We demonstrate that, when the
off-shellness p_Q^2 -m_Q^2 \sim alpha_S^2 m_Q^2 is larger than m_Q Lambda_QCD,
renormalons in the energy levels as calculated in perturbative QCD are
suppressed by a factor Lambda_QCD/alpha_S^2 m_Q as compared to those in 2
m_pole + V_QCD(r). In this case the residual O(Lambda_QCD^4) renormalon has the
same dimension as that of the leading gluon-condensate contribution.Comment: Version to appear in Phys. Lett. B. 12 pages, 1 figur
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