341 research outputs found
Wilson Expansion of QCD Propagators at Three Loops: Operators of Dimension Two and Three
In this paper we construct the Wilson short distance operator product
expansion for the gluon, quark and ghost propagators in QCD, including
operators of dimension two and three, namely, A^2, m^2, m A^2, \ovl{\psi} \psi
and m^3. We compute analytically the coefficient functions of these operators
at three loops for all three propagators in the general covariant gauge. Our
results, taken in the Landau gauge, should help to improve the accuracy of
extracting the vacuum expectation values of these operators from lattice
simulation of the QCD propagators.Comment: 20 pages, no figure
The NNLO gluon fusion Higgs production cross-section with many heavy quarks
We consider extensions of the Standard Model with a number of additional
heavy quarks which couple to the Higgs boson via top-like Yukawa interactions.
We construct an effective theory valid for a Higgs boson mass which is lighter
than twice the lightest heavy quark mass and compute the corresponding Wilson
coefficient through NNLO. We present numerical results for the gluon fusion
cross-section at the Tevatron for an extension of the Standard Model with a
fourth generation of heavy quarks. The gluon fusion cross-section is enhanced
by a factor of roughly 9 with respect to the Standard Model value. Tevatron
experimental data can place stringent exclusion limits for the Higgs mass in
this model.Comment: 14 pages, 1 tabl
Optimal renormalization and the extraction of strange quark mass from semi-leptonic -decay
We employ optimal renormalization group analysis to semi-leptonic
-decay polarization functions and extract the strange quark mass from
their moments measured by the ALEPH and OPAL collaborations. The optimal
renormalization group makes use of the renormalization group equation of a
given perturbation series which then leads to closed form sum of all the
renormalization group-accessible logarithms which have reduced scale
dependence. Using the latest theoretical inputs we find and for
ALEPH and OPAL data respectively.Comment: 3 pages, Contribution to the proceedings of the XXII DAE-BRNS High
Energy Physics Symposium, University of Delhi, Dec. 12-16, 201
Simultaneous decoupling of bottom and charm quarks
We compute the decoupling relations for the strong coupling, the light quark
masses, the gauge-fixing parameter, and the light fields in QCD with heavy
charm and bottom quarks to three-loop accuracy taking into account the exact
dependence on . The application of a low-energy theorem allows the
extraction of the three-loop effective Higgs-gluon coupling valid for
extensions of the Standard Model with additional heavy quarks from the
decoupling constant of .Comment: 30 page
O(alpha_s^2) corrections to fermionic Higgs decays in the MSSM
We compute the two-loop corrections of O(alpha_s^2) to the Yukawa couplings
in the framework of the Minimal Supersymmetric Standard Model (MSSM). The
calculation is performed using the effective Lagrangian approach under the
approximation of neglecting the Higgs boson mass with respect to the top quark,
gluino and all squark flavour masses. As an application we derive the
O(alpha_s^2) corrections to the partial decay width of the lightest Higgs boson
to a bottom quark pair. We find that the two-loop corrections are sizable for
large values of tan_beta and low CP-odd Higgs boson mass. With our calculation
of the O(alpha_s^2) corrections the remaining theoretical uncertainties reduce
below a few percent.Comment: 22 pages, 10 figure
Application of the DRA method to the calculation of the four-loop QED-type tadpoles
We apply the DRA method to the calculation of the four-loop `QED-type'
tadpoles. For arbitrary space-time dimensionality D the results have the form
of multiple convergent sums. We use these results to obtain the
epsilon-expansion of the integrals around D=3 and D=4.Comment: References added, some typos corrected. Results unchange
Chiral corrections to the Gell-Mann-Oakes-Renner relation
The next to leading order chiral corrections to the
Gell-Mann-Oakes-Renner (GMOR) relation are obtained using the pseudoscalar
correlator to five-loop order in perturbative QCD, together with new finite
energy sum rules (FESR) incorporating polynomial, Legendre type, integration
kernels. The purpose of these kernels is to suppress hadronic contributions in
the region where they are least known. This reduces considerably the systematic
uncertainties arising from the lack of direct experimental information on the
hadronic resonance spectral function. Three different methods are used to
compute the FESR contour integral in the complex energy (squared) s-plane, i.e.
Fixed Order Perturbation Theory, Contour Improved Perturbation Theory, and a
fixed renormalization scale scheme. We obtain for the corrections to the GMOR
relation, , the value . This result
is substantially more accurate than previous determinations based on QCD sum
rules; it is also more reliable as it is basically free of systematic
uncertainties. It implies a light quark condensate . As a byproduct, the chiral perturbation theory (unphysical) low energy
constant is predicted to be , or .Comment: A comment about the value of the strong coupling has been added at
the end of Section 4. No change in results or conslusion
- …