67 research outputs found
The Hyperfine Splitting in Bottomium as a Precise Probe of the QCD Vacuum.
By relating fine and hyperfine spittings for l=1 states in bottomium we can
factor out the less tractable part of the perturbative and nonperturbative
effects. Reliable predictions for one of the fine splittings and the hyperfine
splitting can then be made calculating in terms of the remaining fine
splitting, which is then taken from experiment; perturbative and
nonperturbative corrections to these relations are under full control. The
method (which produces reasonable results even for the system)
predicts a value of 1.5 MeV for the splitting in ,
opposite in sign to that in . For this result the contribution of
the gluon condensate is essential, as any model (in particular
potential models) which neglects this would give a negative
hyperfine splitting.Comment: 12 pages, 2 postscript figures, typeset with ReVTe
More nonperturbative corrections to the fine and hyperfine splitting in the heavy quarkonium
The leading nonperturbative effects to the fine and hyperfine splitting were
calculated some time ago. Recently, they have been used in order to obtain
realistic numerical results for the lower levels in bottomonium systems. We
point out that a contribution of the same order has been overlooked. We calculate it in this paper.Comment: 9 pages, LaTeX, More self-contained and lengthier version without
changing physical outputs. To be published in Phys. Rev.
A new look at exotic decays:
We study the decays of the exotic meson . We assume hybrid quark-glue structure and exhibit a large contribution to this decay in the QCD sum rules approach, and suggest that [eta]'[pi] rather than [varrho][pi] might be the dominant decay channel.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/27059/1/0000049.pd
Renormalization group scaling in nonrelativistic QCD
We discuss the matching conditions and renormalization group evolution of
non-relativistic QCD. A variant of the conventional MS-bar scheme is proposed
in which a subtraction velocity nu is used rather than a subtraction scale mu.
We derive a novel renormalization group equation in velocity space which can be
used to sum logarithms of v in the effective theory. We apply our method to
several examples. In particular we show that our formulation correctly
reproduces the two-loop anomalous dimension of the heavy quark production
current near threshold.Comment: (27 pages, revtex
Heavy Quarkonium and nonperturbative corrections
We analyse the possible existence of non-perturbative contributions in heavy
systems ( and need not have the same flavour) which
cannot be expressed in terms of local condensates. Starting from QCD, with well
defined approximations and splitting properly the fields into large and small
momentum components, we derive an effective lagrangian where hard gluons (in
the non-relativistic aproximation) have been integrated out. The large momentum
contributions (which are dominant) are calculated using Coulomb type states.
Besides the usual condensate corrections, we see the possibility of new
non-perturbative contributions. We parametrize them in terms of two low
momentum correlators with Coulomb bound state energy insertions . We
realize that the Heavy Quark Effective lagrangian can be used in these
correlators.
We calculate the corrections that they give rise to in the decay constant,
the bound state energy and the matrix elements of bilinear currents at zero
recoil. We study the cut-off dependence of the new contributions and we see
that it matches perfectly with that of the large momentum contributions.
We consider two situations in detail: i) () and ii) , and briefly discuss the
expected size of the new contributions in , and
systems.Comment: 28 pages, LaTeX. Minor changes, some comments and numerical results
added. To be published in Phys. Rev.
Soft, collinear and non-relativistic modes in radiative decays of very heavy quarkonium
We analyze the end-point region of the photon spectrum in semi-inclusive
radiative decays of very heavy quarkonium (m alpha_s^2 >> Lambda_QCD). We
discuss the interplay of the scales arising in the Soft-Collinear Effective
Theory, m, m(1-z)^{1/2} and m(1-z) for z close to 1, with the scales of heavy
quarkonium systems in the weak coupling regime, m, m alpha_s and m alpha_s^2.
For 1-z \sim alpha_s^2 only collinear and (ultra)soft modes are seen to be
relevant, but the recently discovered soft-collinear modes show up for 1-z <<
alpha_s^2. The S- and P-wave octet shape functions are calculated. When they
are included in the analysis of the photon spectrum of the Upsilon (1S) system,
the agreement with data in the end-point region becomes excellent. The NRQCD
matrix elements and
are also obtained.Comment: Revtex, 11 pages, 6 figures. Minor improvements and references added.
Journal versio
Improved Perturbative QCD Approach to the Bottomonium Spectrum
Recently it has been shown that the gross structure of the bottomonium
spectrum is reproduced reasonably well within the non-relativistic boundstate
theory based on perturbative QCD. In that calculation, however, the fine
splittings and the S-P level splittings are predicted to be considerably
narrower than the corresponding experimental values. We investigate the
bottomonium spectrum within a specific framework based on perturbative QCD,
which incorporates all the corrections up to O(alpha_S^5 m_b) and O(alpha_S^4
m_b), respectively, in the computations of the fine splittings and the S-P
splittings. We find that the agreement with the experimental data for the fine
splittings improves drastically due to an enhancement of the wave functions
close to the origin as compared to the Coulomb wave functions. The agreement of
the S-P splittings with the experimental data also becomes better. We find that
natural scales of the fine splittings and the S-P splittings are larger than
those of the boundstates themselves. On the other hand, the predictions of the
level spacings between consecutive principal quantum numbers depend rather
strongly on the scale mu of the operator \propto C_A/(m_b r^2). The agreement
of the whole spectrum with the experimental data is much better than the
previous predictions when mu \simeq 3-4 GeV for alpha_S(M_Z)=0.1181. There
seems to be a phenomenological preference for some suppression mechanism for
the above operator.Comment: 26 pages, 16 figures. Minor changes, to be published in PR
Quarkonium spectroscopy and perturbative QCD: massive quark-loop effects
We study the spectra of the bottomonium and B_c states within perturbative
QCD up to order alpha_s^4. The O(Lambda_QCD) renormalon cancellation between
the static potential and the pole mass is performed in the epsilon-expansion
scheme. We extend our previous analysis by including the (dominant) effects of
non-zero charm-quark mass in loops up to the next-to-leading non-vanishing
order epsilon^3. We fix the b-quark MSbar mass on Upsilon(1S) and compute the higher levels. The
effect of the charm mass decreases by about 11 MeV and increases
the n=2 and n=3 levels by about 70--100 MeV and 240--280 MeV, respectively. We
provide an extensive quantitative analysis. The size of non-perturbative and
higher order contributions is discussed by comparing the obtained predictions
with the experimental data. An agreement of the perturbative predictions and
the experimental data depends crucially on the precise value (inside the
present error) of alpha_s(M_Z). We obtain .Comment: 33 pages, 21 figures; v2: Abstract modified; Table7 (summary of
errors) added; Version to appear in Phys.Rev.
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