210 research outputs found
The twist-2 Compton operator and its hidden Wandzura-Wilczek and Callan-Gross relations
Power corrections for virtual Compton scattering at leading twist are
etermined at operator level. From the complete off-cone representation of the
twist-2 Compton operator integral representations for the trace, antisymmetric
and symmetric part of that operator are derived. The operator valued invariant
functions are written in terms of iterated operators and may lead to
interrelations. For matrix elements they go over into relations for generalized
parton distributions. -- Reducing to the s-channel relevant part one gets
operator pre-forms of the Wandzura-Wilczek and the (target mass corrected)
Callan-Gross relations whose structure is exactly the same as known from the
case of deep inelastic scattering; taking non-forward matrix elements one
reproduces earlier results [B. Geyer, D. Robaschik and J. Eilers, Nucl. Phys. B
704 (2005) 279] for the absorptive part of the virtual Compton amplitude. --
All these relations, obtained without any approximation or using equations of
motion, are determined solely by the twist-2 structure of the underlying
operator and, therefore, are purely of geometric origin.Comment: 13 pages, Latex 2e, Introduction shortend, Section Prerequisites
added, more obvious formulations used, some formulas rewritten as well as
added, conclusions extended, references added. Final version as appearing in
PR
Anomalous Soft Photons in Hadron Production
Anomalous soft photons in excess of what is expected from electromagnetic
bremsstrahlung have been observed in association with the production of
hadrons, mostly mesons, in high-energy (K+)p, (pi+)p, (pi-)p, pp, and (e+)(e-)
collisions. We propose a model for the simultaneous production of anomalous
soft photons and mesons in quantum field theory, in which the meson production
arises from the oscillation of color charge densities of the quarks of the
underlying vacuum in the flux tube. As a quark carries both a color charge and
an electric charge, the oscillation of the color charge densities will be
accompanied by the oscillation of electric charge densities, which will in turn
lead to the simultaneous production of soft photons during the meson production
process. How the production of these soft photons may explain the anomalous
soft photon data will be discussed. Further experimental measurements to test
the model will be proposed.Comment: 19 pages, 2 figures, to be published in Physical Review
On the phenomenology of a two-Higgs-doublet model with maximal CP symmetry at the LHC
Predictions for LHC physics are worked out for a two-Higgs-doublet model
having four generalized CP symmetries. In this maximally-CP-symmetric model
(MCPM) the first fermion family is, at tree level, uncoupled to the Higgs
fields and thus massless. The second and third fermion families have a very
symmetric coupling to the Higgs fields. But through the electroweak symmetry
breaking a large mass hierarchy is generated between these fermion families.
Thus, the fermion mass spectrum of the model presents a rough approximation to
what is observed in Nature. In the MCPM there are, as in every
two-Higgs-doublet model, five physical Higgs bosons, three neutral ones and a
charged pair. In the MCPM the couplings of the Higgs bosons to the fermions are
completely fixed. This allows us to present clear predictions for the
production at the LHC and for the decays of the physical Higgs bosons. As
salient feature we find rather large cross sections for Higgs-boson production
via Drell-Yan type processes. With experiments at the LHC it should be possible
to check these predictions.Comment: 17 pages, 14 figures, some clarifications added, typos correcte
Final state interaction contribution to the response of confined relativistic particles
We report studies of the response of a massless particle confined by a
potential. At large momentum transfer q it exhibits \tilde{y} or equivalently
Nachtmann \xi scaling, and acquires a constant width independent of q. This
width has a contribution from the final state interactions of the struck
particle, which persists in the q->\infty limit. The width of the response
predicted using plane wave impulse approximation is smaller because of the
neglect of final state interactions in that approximation. However, the exact
response may be obtained by folding the approximate response with a function
representing final state interaction effects. We also study the response
obtained from the momentum distribution assuming that the particle is on the
energy shell both before and after being struck. Quantitative results are
presented for the special case of a linear confining potential. In this case
the response predicted with the on-shell approximation has correct values for
the total strength, mean energy and width, however its shape is wrong.Comment: 11 pages, 3 figures, submitted to Phys. Rev.
On the Energy Dependence of the Dipole-Proton Cross Section in Deep Inelastic Scattering
We study the dipole picture of high-energy virtual-photon-proton scattering.
It is shown that different choices for the energy variable in the dipole cross
section used in the literature are not related to each other by simple
arguments equating the typical dipole size and the inverse photon virtuality,
contrary to what is often stated. We argue that the good quality of fits to
structure functions that use Bjorken-x as the energy variable - which is
strictly speaking not justified in the dipole picture - can instead be
understood as a consequence of the sign of scaling violations that occur for
increasing Q^2 at fixed small x. We show that the dipole formula for massless
quarks has the structure of a convolution. From this we obtain derivative
relations between the structure function F_2 at large and small Q^2 and the
dipole-proton cross section at small and large dipole size r, respectively.Comment: 27 page
Addition theorems for spin spherical harmonics. II Results
Based on the results of part I, we obtain the general form of the addition
theorem for spin spherical harmonics and give explicit results in the cases
involving one spin- and one spin- spherical harmonics with ,
1, 3/2, and , 1. We obtain also a fully general addition theorem for
one scalar and one tensor spherical harmonic of arbitrary rank. A variety of
bilocal sums of ordinary and spin spherical harmonics are given in explicit
form, including a general explicit expression for bilocal spherical harmonics
Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM
Determining the global minimum of Higgs potentials with several Higgs fields
like the next-to-minimal supersymmetric extension of the Standard Model (NMSSM)
is a non-trivial task already at the tree level. The global minimum of a Higgs
potential can be found from the set of all its stationary points defined by a
multivariate polynomial system of equations. We introduce here the algebraic
Groebner basis approach to solve this system of equations. We apply the method
to the NMSSM with CP conserving as well as CP violating parameters. The results
reveal an interesting stationary-point structure of the potential. Requiring
the global minimum to give the electroweak symmetry breaking observed in Nature
excludes large parts of the parameter space.Comment: 10 pages, 2 figure
Addition theorems for spin spherical harmonics. I Preliminaries
We develop a systematic approach to deriving addition theorems for, and some
other bilocal sums of, spin spherical harmonics. In this first part we
establish some necessary technical results. We discuss the factorization of
orbital and spin degrees of freedom in certain products of Clebsch-Gordan
coefficients, and obtain general explicit results for the matrix elements in
configuration space of tensor products of arbitrary rank of the position and
angular-momentum operators. These results are the basis of the addition
theorems for spin spherical harmonics obtained in part II
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