388 research outputs found
Differential, Partial Cross Sections for Electron Excitation of the Sodium 3P State
Using a powerful laser-based experimental method, the cross section for electron excitation of Na(3S) atoms to the Na(3P) state has been decomposed into partial components with respect to changes in the spin and angular momentum of the atomic electron, and these partial cross sections are further reduced to their differential character with respect to the electron scattering angle. Partial, differential cross sections are reported for electron collision energies from threshold 2.1 to 3.6 eV, and compared to available calculations
Spin-Exchange Cross Section for Electron Excitation of Na 3S 3P Determined by a Novel Spectroscopic Technique
An experimental technique is described which enables determination of the partial cross sections for electron excitation of atoms as a function of changes in spin and orbital angular momentum. This method provides a good signal-to-noise ratio in the energy region near threshold, and could be used to study long- or short-lived excited states of many atomic systems. Measurements for Na 3Sâ3P, near-threshold excitation are reported here. The results are generally in good agreement with the close-coupling calculations of D. L. Moores and D. W. Norcross [J. Phys. B 5, 1482 (1972)] for the largest ÎmS and ÎmL components of the cross section, but not for the component with |ÎmS|=1 and |ÎmL|=1, indicating that the exchange interaction is larger than previously recognized
SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks
We use supersymmetric Ward identities to relate multi-gluon helicity
amplitudes involving a pair of massive quarks to amplitudes with massive
scalars. This allows to use the recent results for scalar amplitudes with an
arbitrary number of gluons obtained by on-shell recursion relations to obtain
scattering amplitudes involving top quarks.Comment: 22 pages, references adde
On-shell recursion relations for all Born QCD amplitudes
We consider on-shell recursion relations for all Born QCD amplitudes. This
includes amplitudes with several pairs of quarks and massive quarks. We give a
detailed description on how to shift the external particles in spinor space and
clarify the allowed helicities of the shifted legs. We proof that the
corresponding meromorphic functions vanish at z --> infinity. As an application
we obtain compact expressions for helicity amplitudes including a pair of
massive quarks, one negative helicity gluon and an arbitrary number of positive
helicity gluons.Comment: 30 pages, minor change
Unitarity, BRST Symmetry and Ward Identities in Orbifold Gauge Theories
We discuss the use of BRST symmetry and the resulting Ward identities for
orbifold gauge theories as consistency checks in an arbitrary number of
dimensions. We verify that both the usual orbifold symmetry breaking and the
recently proposed Higgsless symmetry breaking are consistent with the
nilpotency of the BRST transformation. Imposing the Ward identities resulting
from the BRST symmetry on the 4-point functions of theory, we obtain relations
on the coupling constants that are shown to be equivalent to the conditions for
tree level unitarity. We present the complete set of these sum rules also for
inelastic scattering and discuss applications to 6-dimensional models and to
incomplete matter multiplets on orbifold fixed points.Comment: 34 pages, LaTeX (feynmf.sty, url.sty and thophys.sty included),
v2:references added, v3:typos corrected, sec.3 revise
Multigluon tree amplitudes with a pair of massive fermions
We consider the calculation of n-point multigluon tree amplitudes with a pair
of massive fermions in QCD. We give the explicit transformation rules of this
kind of massive fermion-pair amplitudes with respect to different reference
momenta and check the correctness of them by SUSY Ward identities. Using these
rules and onshell BCFW recursion relation, we calculate the analytic results of
several n-point multigluon amplitudes.Comment: 15page
A direct proof of the CSW rules
Using recursion methods similar to those of Britto, Cachazo, Feng and Witten
(BCFW) a direct proof of the CSW rules for computing tree-level gluon
amplitudes is given.Comment: 11 pages, uses axodraw.st
Scalar diagrammatic rules for Born amplitudes in QCD
We show that all Born amplitudes in QCD can be calculated from scalar
propagators and a set of three- and four-valent vertices. In particular, our
approach includes amplitudes with any number of quark pairs. The quarks may be
massless or massive. The proof of the formalism is given entirely within
quantum field theory.Comment: 20 pages, references adde
Four-fermion production near the W pair production threshold
We perform a dedicated study of the four-fermion production process e- e+ ->
mu- nubar_mu u dbar X near the W pair-production threshold in view of the
importance of this process for a precise measurement of the W boson mass.
Accurate theoretical predictions for this process require a systematic
treatment of finite-width effects. We use unstable-particle effective field
theory (EFT) to perform an expansion in the coupling constants, GammaW/MW, and
the non-relativistic velocity v of the W boson up to next-to-leading order in
GammaW/MW ~ alpha_ew ~ v^2. We find that the dominant theoretical uncertainty
in MW is currently due to an incomplete treatment of initial-state radiation.
The remaining uncertainty of the NLO EFT calculation translates into delta MW ~
10-15 MeV, and to about 5 MeV with additional input from the NLO four-fermion
calculation in the full theory.Comment: 53 pages, v2: version to be published, inessential modification
Massive amplitudes on the Coulomb branch of N=4 SYM
We initiate a systematic study of amplitudes with massive external particles
on the Coulomb-branch of N=4 super Yang Mills theory: 1) We propose that
(multi-)soft-scalar limits of massless amplitudes at the origin of moduli space
can be used to determine Coulomb-branch amplitudes to leading order in the
mass. This is demonstrated in numerous examples. 2) We find compact explicit
expressions for several towers of tree-level amplitudes, including scattering
of two massive W-bosons with any number of positive helicity gluons, valid for
all values of the mass. 3) We present the general structure of superamplitudes
on the Coulomb branch. For example, the n-point "MHV-band" superamplitude is
proportional to a Grassmann polynomial of mixed degree 4 to 12, which is
uniquely determined by supersymmetry. We find explicit tree-level
superamplitudes for this MHV band and for other simple sectors of the theory.
4) Dual conformal generators are constructed, and we explore the dual conformal
properties of the simplest massive amplitudes. Our compact expressions for
amplitudes and superamplitudes should be of both theoretical and
phenomenological interest; in particular the tree-level results carry over to
truncations of the theory with less supersymmetry.Comment: 29 pages, 1 figur
- âŠ