In this paper, we analyze the high-energy limits for Higgs boson $+$ two jet production. We consider two high-energy limits, corresponding to two different kinematic regions: (a) the Higgs boson is centrally located in rapidity between the two jets, and very far from either jet; (b) the Higgs boson is close to one jet in rapidity, and both of these are very far from the other jet. In both cases the amplitudes factorize into impact factors or coefficient functions connected by gluons exchanged in the t channel. Accordingly, we compute the coefficient function for the production of a Higgs boson from two off-shell gluons, and the impact factors for the production of a Higgs boson in association with a gluon or a quark jet. We include the full top quark mass dependence and compare this with the result obtained in the large top-mass limit.

We propose a model for neutrino masses that simultaneously results in a new dark matter candidate, the right-handed neutrino. We derive the dark matter abundance in this model, show how the hierarchy of neutrino masses is obtained, and verify that the model is compatible with existing experimental results. The toy model provides a potentially economical method of unifying two seemingly separate puzzles in contemporary particle physics and cosmology.

We propose a new rule for boundary renormalization group flows in fixed-point free coset models. Our proposal generalizes the “absorption of boundary spin” principle formulated by Affleck and Ludwig to a large class of perturbations in boundary conformal field theories. We illustrate the rule in the case of unitary minimal models.

We show that the triple pole Pomeron model provides an initial condition for a DGLAP evolution that produces a fit to high $Q^2$ experimental DIS data. We obtain a good ${\chi }^2$ for initial scales down to $3{\mathrm{GeV}}^2.$ Values of the initial scale smaller than $1.45{\mathrm{GeV}}^2$ are ruled out at the 90% confidence level.

We reexamine the bounds on supersymmetric particle masses in light of the new E821 data on the muon anomalous magnetic moment and the revised theoretical calculations of its hadronic contributions. The current experimental excess is either $1.5\sigma$ or $3.2\sigma ,$ depending on whether $e^{+}{e}^{-}$ or $\tau$-decay data are used in the theoretical calculations for the leading order hadronic processes. Neither result is compelling evidence for new physics. However, if one interprets the excess as coming from supersymmetry, one can obtain upper mass bounds on many of the particles of the minimal supersymmetric standard model (MSSM). Within this framework we provide a general analysis of the lightest masses as a function of the deviation so that future changes in either experimental data or theoretical calculations can easily be translated into upper bounds at the desired level of statistical significance. In addition, we give specific bounds on sparticle masses in light of the latest experimental and theoretical calculations for the MSSM with universal slepton masses, with and without universal gaugino masses.

It is shown that photon shot noise and radiation-pressure back-action noise are the sole forms of quantum noise in interferometric gravitational wave detectors that operate near or below the standard quantum limit, if one filters the interferometer output appropriately. No additional noise arises from the test masses’ initial quantum state or from reduction of the test-mass state due to measurement of the interferometer output or from the uncertainty principle associated with the test-mass state. Two features of interferometers are central to these conclusions: (i) The interferometer output [the photon number flux $\mathcal{N}^\mathrm{}\left(t\right)\mathrm{}$ entering the final photodetector] commutes with itself at different times in the Heisenberg picture, $\left[\mathcal{N}^\mathrm{}\right(t),\mathcal{N}^{(t}^{\prime })]=0\mathrm{}$ and thus can be regarded as classical. (ii) This number flux is linear to high accuracy in the test-mass initial position and momentum operators $x_o$ and $p_o,$ and those operators influence the measured photon flux $\mathcal{N}^\mathrm{}\left(t\right)\mathrm{}$ in manners that can easily be removed by filtering. For example, in most interferometers $x_o$ and $p_o$ appear in $\mathcal{N}^\mathrm{}\left(t\right)\mathrm{}$ only at the test masses’ $\sim 1\mathrm{Hz}$ pendular swinging frequency and their influence is removed when the output data are high-pass filtered to get rid of noise below $\sim 10\mathrm{Hz}.$ The test-mass operators $x_o$ and $p_o$ contained in the unfiltered output $\mathcal{N}^\mathrm{}\left(t\right)\mathrm{}$ make a nonzero contribution to the commutator $\left[\mathcal{N}^\mathrm{}\right(t),\mathcal{N}^{(t}^{\prime })].$ That contribution is precisely canceled by a nonzero commutation of the photon shot noise and radiation-pressure noise, which also are contained in $\mathcal{N}^\mathrm{}\left(t\right).$ This cancellation of commutators is responsible for the fact that it is possible to derive an interferometer’s standard quantum limit from test-mass considerations, and independently from photon-noise considerations, and get identically the same result. These conclusions are all true for a far wider class of measurements than just gravitational-wave interferometers. To elucidate them, this paper presents a series of idealized thought experiments that are free from the complexities of real measuring systems.

The chiral quark model with configuration mixing and broken $\mathrm{SU}\mathrm{}\left(3\right)\mathrm{}\times \mathrm{U}\mathrm{}\left(1\right)\mathrm{}$ symmetry is extended to include the contribution from $c\overline{c}$ fluctuations by considering broken SU(4) instead of SU(3). The implications of such a model are studied for quark flavor and spin distribution functions corresponding to E866 and the NMC data. The predicted parameters regarding the charm spin distribution functions, for example, $\Delta c,$ $\Delta c/\Delta \Sigma ,$ $\Delta c/c$ as well as the charm quark distribution functions, for example, $\overline{c},$ $2\overline{c}/(ū+\overline{d}),$ $2\overline{c}/(u+d)\mathrm{}$ and $(c+\overline{c})/\sum (q+\overline{q})$ are in agreement with other similar calculations. Specifically, we find $\Delta c=-0.009,$ $\Delta c/\Delta \Sigma =-0.02,$ $\overline{c}=0.03\mathrm{}$ and $(c+\overline{c})/\sum (q+\overline{q})=0.02\mathrm{}$ for the $\chi \mathrm{QM}$ parameters $a=0.1,$ $\alpha =0.4,$ $\beta =0.7,$ ${\zeta }_{E866\mathrm{}}=-1-2\beta ,$ ${\zeta }_{\mathrm{NMC}}=-2-2\beta$ and $\gamma =0.3;$ the latter appears due to the extension of SU(3) to SU(4).

We analyze the energy spectrum of reactor neutrino events recently observed in the Kamioka Liquid Scintillator Antineutrino Detector (KamLAND) and combine them with solar and terrestrial neutrino data, in the context of two- and three-family active neutrino oscillations. In the $2\nu$ case, we find that the solution to the solar neutrino problem at large mixing angle (LMA) is basically split into two subregions that we denote as LMA-I and LMA-II. The LMA-I solution, characterized by lower values of the squared neutrino mass gap, is favored by the global data fit. This picture is not significantly modified in the $3\nu$ mixing case. A brief discussion is given about the discrimination of the LMA-I and LMA-II solutions with future KamLAND data. In both the $2\nu$ and $3\nu$ cases, we present a detailed analysis of the post-KamLAND bounds on the oscillation parameters.

Assuming the current best-fit solutions to the solar neutrino problem at large mixing angle, we briefly illustrate how prospective data from the Sudbury Neutrino Observatory (SNO) and from the Kamioka Liquid Scintillator Antineutrino Detector (KamLAND) can increase our confidence in the occurrence of standard matter effects on active neutrino flavor oscillations in the Sun, which are starting to emerge from current data.

We study under certain assumptions the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws approach. The equations of motion are solved perturbatively in the mass ratio (or the corresponding parameter in the scalar field toy model), using the self-force, for quasicircular orbits around a Schwarzschild black hole. This approach is applied for the scalar model. Higher-order corrections yield a phase shift which, if included, may make gravitational-wave astronomy potentially highly accurate.

The ${\ln }^{2}s$ behavior of total cross sections, first obtained by Heisenberg 50 years ago, has received increased interest both on phenomenological and theoretical levels. In this paper we present a modification of Heisenberg’s model in connection with the presence of glueballs and we show that it leads to a realistic description of all existing hadron total cross-sections data.

The conventional signature for grand unified theories (GUTs) is proton decay. Recently, some models in extra dimensions or with specific discrete symmetries, which aim at solving the doublet-triplet problem, allow a color triplet in the TeV mass region by suppressing the Yukawa couplings of the triplets to matter fermions. We study the hadronic production and detection of these TeV colored Higgs bosons as an alternative signature for GUTs; they would behave like massive stable charged particles in particle detectors, producing the striking signature of a charged track in the central tracking system and being ionized in the outer muon chamber. We find that the CERN LHC is sensitive to a colored Higgs boson up to about 1.5 TeV. If the color triplets are stable on a cosmological time scale, they may constitute an interesting fraction of the dark matter.

The Higgs potential and the mass spectrum of the $N=1\mathrm{}$ supersymmetric extension of a recently proposed one family model based on the local gauge group ${\mathrm{SU}\left(3\right)\mathrm{}}_C\otimes {\mathrm{SU}\left(3\right)\mathrm{}}_L\otimes {U\left(1\right)\mathrm{}}_X,$ which is a subgroup of the electroweak-strong unification group $E_6,$ is analyzed. In this model the slepton multiplets play the role of the Higgs scalars and no Higgsinos are needed, with the consequence that the sneutrino, the selectron, and six other sleptons play the role of the Goldstone bosons. We show how the $\mu$ problem is successfully addressed in the context of this model which also predicts the existence of a light $\mathrm{CP}$-odd scalar.

We study the minimal set of Higgs scalars, for models based on the local gauge group ${\mathrm{SU}\left(3\right)\mathrm{}}_c\otimes {\mathrm{SU}\left(3\right)\mathrm{}}_L\otimes {U\left(1\right)\mathrm{}}_X,$ which do not contain particles with exotic electric charges. We show that only two Higgs ${\mathrm{SU}\left(3\right)\mathrm{}}_L$ triplets are needed in order to properly break the symmetry. The exact tree-level scalar mass matrices resulting from symmetry breaking are calculated at the minimum of the most general scalar potential, and the gauge bosons are obtained, together with their couplings to the physical scalar fields. We show how the scalar sector introduced is enough to produce masses for fermions in a particular model. By using experimental results we constrain the scale of new physics to be above 1.5 TeV.

We construct creation and annihilation operators for deformed harmonic oscillators with minimal length uncertainty relations. We discuss a possible generalization to a large class of deformations of canonical commutation relations. We also discuss the dynamical symmetry of a noncommutative harmonic oscillator.

Heavy quark effective theory can be used to study the semileptonic $B^{\left(*\right)}\to D^{\left(*\right)}$ decays in the limit that the heavy quark masses are infinite. We calculate the lowest order chiral corrections, which are of $\mathcal{O}{(1/M}^2),$ from the breaking of heavy quark symmetry at the zero recoil point in quenched chiral perturbation theory. These results will aid in the extrapolation of quenched lattice calculations from the light quark masses used on the lattice down to the physical ones.

Warped compactifications with branes provide a new approach to the hierarchy problem and generate a diversity of four-dimensional thresholds. We investigate the relationships between these scales, which fall into two classes. Geometrical scales, such as thresholds for Kaluza-Klein, excited string, and black hole production, are generically determined solely by the spacetime geometry. Dynamical scales, notably the scale of supersymmetry breaking and moduli masses, depend on other details of the model. We illustrate these relationships in a class of solutions of type IIB string theory with imaginary self-dual fluxes. After identifying the geometrical scales and the resulting hierarchy, we determine the gravitino and moduli masses through explicit dimensional reduction, and estimate their value to be near the four-dimensional Planck scale. In the process we obtain expressions for the superpotential and Kähler potential, including the effects of warping. We identify matter living on certain branes to be effectively sequestered from the supersymmetry breaking fluxes: specifically, such “visible sector” fields receive no tree-level masses from the supersymmetry breaking. However, loop corrections are expected to generate masses, at the phenomenologically viable TeV scale.

We extend the description of gravitational waves emitted by binary black holes during the final stages of inspiral and merger by introducing in the third post-Newtonian (3PN) effective-one-body (EOB) templates seven new “flexibility” parameters that affect the two-body dynamics and gravitational radiation emission. The plausible ranges of these flexibility parameters, notably the parameter characterizing the fourth post-Newtonian effects in the dynamics, are estimated. Using these estimates, we show that the currently available standard 3PN bank of EOB templates does “span” the space of signals opened up by all the flexibility parameters, in that their maximized mutual overlaps are larger than 96.5%. This confirms the effectualness of 3PN EOB templates for the detection of binary black holes in gravitational-wave data from interferometric detectors. The possibility to drastically reduce the number of EOB templates using a few “universal” phasing functions is suggested.

The condition $R=0,$ where R is the four-dimensional scalar curvature, is used for obtaining a large class (with an arbitrary function of $r)$ of static, spherically symmetric Lorentzian wormhole solutions. The wormholes are globally regular and traversable, can have throats of arbitrary size and can be both symmetric and asymmetric. These solutions may be treated as possible wormhole solutions in a brane world since they satisfy the vacuum Einstein equations on the brane where effective stress-energy is induced by interaction with the bulk gravitational field. Some particular examples are discussed.