Search results for "QUANTUM MECHANICS"
showing 10 items of 2468 documents
Dual gauge-fixing property of the S matrix.
1996
The {ital S} matrix is known to be independent of the gauge-fixing parameter to all orders in perturbation theory. In this paper by employing the pinch technique we prove at one loop a stronger version of this independence. In particular, we show that one can use a gauge-fixing parameter for the gauge bosons inside quantum loops which is different from that used for the bosons outside loops, and the {ital S} matrix is independent of both. Possible phenomenological applications of this result are briefly discussed. {copyright} {ital 1996 The American Physical Society.}
QCD sum rule analysis of the pentaquark
2005
We perform a QCD sum rule calculation to determine the mass and the parity of the lowest lying pentaquark state. We include operators up to dimension $d=13$ in the OPE and the direct instanton contributions. We find evidence for a positive parity state. The contribution from operators of dimension $d>5$ is instrumental in determining the parity of the state and achieving the convergence of the sum rule.
Factorization and N3LLp+NNLO predictions for the Higgs cross section with a jet veto
2013
We have recently derived a factorization formula for the Higgs-boson production cross section in the presence of a jet veto, which allows for a systematic resummation of large Sudakov logarithms of the form alpha_s^n ln^m(p_T^veto/m_H), along with the large virtual corrections known to affect also the total cross section. Here we determine the ingredients entering this formula at two-loop accuracy. Specifically, we compute the dependence on the jet-radius parameter R, which is encoded in the two-loop coefficient of the collinear anomaly, by means of a direct, fully analytic calculation in the framework of soft-collinear effective theory. We confirm the result obtained by Banfi et al. from a…
Perturbative chiral violations for domain-wall QCD with improved gauge actions
2006
We investigate, in the framework of perturbation theory at finite $N_s$, the effectiveness of improved gauge actions in suppressing the chiral violations of domain-wall fermions. Our calculations show substantial reductions of the residual mass when it is compared at the same value of the gauge coupling, the largest suppression being obtained when the DBW2 action is used. Similar effects can also be observed for a power-divergent mixing coefficient which is chirally suppressed. No significant reduction instead can be seen in the case of the difference between the vector and axial-vector renormalization constants when improved gauge actions are used in place of the plaquette action. We also …
From Hadronic τ Decays to the Chiral Couplings and
2009
A sum rule analysis of the hadronic τ -decay data can be used to determine the low-energy constants L 10 r ( μ ) and C 87 r ( μ ) . These constants are QCD chiral-order parameters, which appear at order p 4 and p 6 , respectively, in the chiral perturbation theory expansion of the V − A correlator. At order p 4 we obtain L 10 r ( M ρ ) = − ( 5.22 ± 0.06 ) ⋅ 10 − 3 . Including in the analysis the order p 6 contributions, we get L 10 r ( M ρ ) = − ( 4.06 ± 0.39 ) ⋅ 10 − 3 and C 87 r ( M ρ ) = ( 4.89 ± 0.19 ) ⋅ 10 − 3 GeV − 2 .
Results on longitudinal spin physics at COMPASS
2016
Abstract The COMPASS experiment at the CERN SPS has taken data for deep inelastic scattering of polarised muons off a polarised NH3 target in 2007 and 2011 and off a polarised 6LiD target in 2002–2004 and 2006. We present our new results on the longitudinal double spin asymmetry A 1 p and the spin-dependent structure function g 1 p obtained from the 2011 data set. These results are used in a NLO QCD fit to the world data to obtain the polarised parton distributions. Also an update on our results on the Bjorken sum rule, connecting the integral of the non-singlet spin-dependent structure function with the ratio of the weak coupling constants, is given. The gluon polarisation can be accessed …
Charm and bottom quark masses from QCD moment sum rules
2002
In this work the charm and bottom quark masses are determined from QCD moment sum rules for the charmonium and upsilon systems. In our analysis we include both the results from non-relativistic QCD and perturbation theory at next-next-to-leading order. For the pole masses we obtain $M_c=1.75\pm 0.15$ GeV and $M_b=4.98\pm 0.125$ GeV. Using the potential-subtracted mass in intermediate steps of the calculation the MS-masses are determined to $m_c(m_c) = 1.19 \pm 0.11$ GeV and $m_b(m_b) = 4.24 \pm 0.10$ GeV.
A Quark model analysis of the Sivers function.
2008
We develop a formalism to evaluate the Sivers function. The approach is well suited for calculations which use constituent quark models to describe the structure of the nucleon. A non-relativistic reduction of the scheme is performed and applied to the Isgur-Karl model of hadron structure. The results obtained are consistent with a sizable Sivers effect and the signs for the u and d flavor contributions turn out to be opposite. This pattern is in agreement with the one found analyzing, in the same model, the impact parameter dependent generalized parton distributions. The Burkardt Sum Rule turns out to be fulfilled to a large extent. We estimate the QCD evolution of our results from the mom…
Bottomonium spectroscopy and radiative transitions involving theχbJ(1P,2P)states atBaBar
2014
We use (121±1) million Υ(3S) and (98±1) million Υ(2S) mesons recorded by the BABAR detector at the PEP-II e^+e^− collider at SLAC to perform a study of radiative transitions involving the χ_(bJ)(1P,2P) states in exclusive decays with μ^+μ^−γγ final states. We reconstruct twelve channels in four cascades using two complementary methods. In the first we identify both signal photon candidates in the electromagnetic calorimeter (EMC), employ a calorimeter timing-based technique to reduce backgrounds, and determine branching-ratio products and fine mass splittings. These results include the best observational significance yet for the χ_(b0)(2P)→γΥ(2S) and χ_(b0)(1P)→γΥ(1S) transitions. In the se…
New results on the spin structure function g1 of the proton and the deuteron from SMC
1998
Abstract New results from a measurement of the spin-dependent structure function g 1 p by the SMC are presented. A next-to-leading order QCD analysis of all published data is used to compute g 1 p at a fixed Q 2 of 10 GeV 2 . Two methods for the extrapolation towards x = 0 to determine the first moment are discussed. In both cases the violation of the Ellis-Jaffe sum rule is confirmed. Using the deuteron data in addition the Bjorken sum rule is tested.