arXiv subjects

S. D. H. Hsu

Publications and source records attributed to S. D. H. Hsu.

12 recordsLinked to original sources

arXiv2008

Invisible Higgs boson, continuous mass fields and unHiggs mechanism

We explore the consequences of an electroweak symmetry breaking sector which exhibits approximately scale invariant dynamics -- i.e., nontrivial fixed point behavior, as in unparticle models. One can think of an unHiggs as a composite Higgs boson with a continuous mass distribution. We find it convenient to represent the unHiggs in terms of a Kallen-Lehmann spectral function, from which it is simple to verify the generation of gauge boson and fermion masses, and unitarization of WW scattering. We show that a spectral function with broad support, which corresponds to approximate fixed point behavior over an extended range of energy, can lead to an effectively invisible Higgs particle, whose decays at LEP or LHC could be obscured by background.

hep-ph↗

arXiv2004

New Solutions to the Strong CP Problem

We exhibit a solution to the strong CP problem in which ultraviolet physics renders the QCD theta angle physically unobservable. Our models involve new strong interactions beyond QCD and particles charged under both the new interactions and ordinary color.

hep-ph↗

arXiv2004

The Fermion Sign Problem and High Density Effective Theory

We investigate the positivity of the Euclidean path integral measure for low-energy modes in dense fermionic matter. We show that the sign problem usually associated with fermions is absent if one considers only low-energy degrees of freedom. We describe a method for simulating dense QCD on the lattice and give a proof using rigorous inequalities that the color-flavor locked (CFL) phase is the true vacuum of three flavor, massless QCD.

hep-ph↗

arXiv1998

Anomaly induced QCD potential and Quark Decoupling

We explore the anomaly induced effective QCD meson potential in the framework of the effective Lagrangian approach. We suggest a decoupling procedure, when a flavored quark becomes massive, which mimics the one employed by Seiberg for supersymmetric gauge theories. It is seen that, after decoupling, the QCD potential naturally converts to the one with one less flavor. We study the $N_c$ and $N_f$ dependence of the $η^{\prime}$ mass.

hep-th↗

arXiv1996

QCD at Large $θ$ Angle and Axion Cosmology

We use the chiral Lagrangian to investigate the global properties of the $N$-flavor QCD vacuum as a function of the $θ$ parameter. In the case of exact quark degeneracy we find evidence for first order phase transitions at $θ= π\cdot ({\rm odd~ integer})$. The first order transitions are smoothed by quark mass splittings, although interesting effects remain at realistic quark masses. We emphasize the role of the $η'$ condensate in our analysis. Finally, we discuss the implications of our results on the internal hadronic structure of axion domain walls and axion cosmology.

hep-ph↗

arXiv1996

Phase Transitions in Softly Broken N=2 SQCD at Non-zero Theta Angle

We investigate the behavior of softly broken $N=2$ SQCD at non-zero bare theta angle $θ_0$, using superfield spurions to implement the SUSY breaking. We find a first-order phase transition as $θ_0$ is varied from zero to $2 π$, in agreement with a prediction of `t Hooft. The low-energy theta angle $θ_{eff}$, which determines the effective charges of dyonic excitations, has a complicated dependence on $θ_0$ and breaking parameters.

hep-th↗

arXiv1996

Chiral Perturbation Theory, Large-N_c and the eta' Mass

Using chiral perturbation theory and the large-$N_c$ expansion, we obtain expressions for the $η'$ mass and $η- η'$ mixing in terms of low-energy chiral Lagrangian parameters. This is accomplished through an intermediate step of `matching' the topological susceptibility in the large-$N_c$ and chiral Lagrangian descriptions. By inserting the values of well-measured parameters we obtain predictions involving the the second order parameters $L_6,L_7$ and $L_8$. The prediction for $L_6$ is quite restrictive even after allowing for $1/ N_c$ corrections.

hep-ph↗

arXiv1996

Topological Charge and $U(1)_A$ Symmetry in the High Temperature Phase of QCD

We discuss the global symmetries of the high temperature phase of QCD with $N_f$ massless quarks. We show that the $U(N_f) \times U(N_f)$ symmetries are only violated by operators of dimension $\geq 3 N_f$. For $N_f > 2$ this implies that the thermal two-point correlation functions of the $η'$ and $π^a$'s are identical. We discuss the implications of this for the chiral phase transition at finite temperature.

hep-ph↗

arXiv1992

Long Range Forces from Two Neutrino Exchange Revisited

The exchange of two massless neutrinos gives rise to a long range force which couples to weakly charged matter. As has been noted previously in the literature, the potential for this force is $\VN \propto G_{F}^2 / r^5$ with monopole-monople, spin-spin and more complicated interactions. Unfortunately, this is far too small to be observed in present day experiments. We calculate $\VN$ explicitly in the electroweak theory, and show that under very general assumptions forces arising from the exchange of two massless fermions can at best yield $1 / r^5$ potentials.

hep-ph↗

arXiv1992

Metastable Cosmic Strings in Realistic Models

We investigate the stability of the electroweak Z-string at high temperatures. Our results show that while finite temperature corrections can improve the stability of the Z-string, their effect is not strong enough to stabilize the Z-string in the standard electroweak model. Consequently, the Z-string will be unstable even under the conditions present during the electroweak phase transition. We then consider phenomenologically viable models based on the gauge group $SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ and show that metastable strings exist and are stable to small perturbations for a large region of the parameter space for these models. We also show that these strings are superconducting with bosonic charge carriers. The string superconductivity may be able to stabilize segments and loops against dynamical contraction. Possible implications of these strings for cosmology are discussed.

hep-ph↗

arXiv1992

Corrections to the Electroweak Effective Action at Finite Temperature

We calculate contributions to the finite temperature effective action for the electroweak phase transition (EWPT) at $Ø(g^4)$, {\it i.e.} at second order in $(g^2 T/\M)$ and all orders in $(g^2 T^2/\M^2)$. This requires plasma-mass corrections in the calculation of the effective potential, inclusion of the ``lollipop'' diagram, and an estimate of derivative corrections. We find the EWPT remains too weakly first-order to drive baryogenesis. We calculate some one loop kinetic energy corrections using both functional and diagrammatic methods; these may be important for saddlepoint configurations such as the bounce or sphaleron.

hep-ph↗

arXiv1992

Solutions to the strong CP problem in a world with gravity

We examine the sensitivity of several solutions of the strong-CP problem to violations of global symmetries by Planck scale physics. We find that the Peccei-Quinn solution is extremely sensitive to U(1)_PQ violating operators of dimension less than 10. We construct models in which the PQ symmetry is protected by gauge symmetries to the requisite level.

hep-ph↗