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Elizabeth Jenkins

Publications and source records attributed to Elizabeth Jenkins.

At least 19 recordsLinked to original sources
arXiv2011

Baryon Magnetic Moments in the 1/N_c Expansion with Flavor Symmetry Breaking

The magnetic moments and transition magnetic moments of the ground state baryons are analyzed in an expansion in 1/N_c, SU(3) flavor symmetry breaking and isospin symmetry breaking. There is clear evidence in the experimental data for the hierarchy of magnetic moments of the combined expansion in 1/N_c and flavor breaking. SU(3) breaking in the magnetic moments is expected to be enhanced relative to that of other hadronic observables, and significant SU(3) breaking is found.

hep-ph↗
arXiv2009

Large-N_c QCD

A brief review of large-N_c QCD and the 1/N_c expansion is given. Important results for large-N_c mesons and baryons are highlighted.

hep-ph↗
arXiv2007

Model-Independent Bottom Baryon Mass Predictions in the 1/N Expansion

Recent discoveries of the Xi_b, Sigma_b and Sigma_b^* baryons at the Tevatron are in good agreement with model-independent mass predictions made a decade ago based on a combined expansion in 1/N_c, 1/m_Q and SU(3) flavor symmetry breaking. Using the new experimental data as input, mass predictions for the undiscovered bottom baryons Xi_b^\prime, Xi_b^*, Omega_b and Omega_b^* and for many unmeasured bottom baryon mass splittings are updated. The observed ground state charm baryons exhibit the mass hierarchy previously predicted by the 1/N_c, 1/m_Q and SU(3) flavor breaking expansion.

hep-ph↗
arXiv2007

Rephasing Invariants of Quark and Lepton Mixing Matrices

Rephasing invariants of quark and lepton mixing matrices are obtained in the standard model extended by the seesaw mechanism, and in its low-energy effective theory with the dimension-five Majorana mass operator. We classify the basic invariants, discuss non-trivial relations between them, and determine the independent invariants which characterize all the information in the mixing matrices in a basis-independent way. We also discuss the restrictions on the allowed ranges for the mixing phases, and on the rephasing invariants, which follow from a discrete invariance of the Majorana mass matrix.

hep-ph↗
arXiv2004

1/N Expansion for Exotic Baryons

The 1/N expansion for exotic baryons is developed, and applied to the masses, meson couplings and decay widths. Masses and widths of the 27 and 35 pentaquark states in the same tower as the Theta+ are related by spin-flavor symmetry. The 27 and 35 states can decay within the pentaquark tower, as well as to normal baryons, and so have larger decay widths than the lightest pentaquark Theta. The 1/N expansion also is applied to baryon exotics containing a single heavy antiquark. The decay widths of heavy pentaquarks via pion emission, and to normal baryons plus heavy D^(*),B^(*) mesons are studied, and relations following from large-N spin-flavor symmetry and from heavy quark symmetry are derived.

hep-ph↗
arXiv2004

Renormalization of Lepton Mixing for Majorana Neutrinos

We discuss the one-loop electroweak renormalization of the leptonic mixing matrix in the case of Majorana neutrinos, and establish its relationship with the renormalization group evolution of the dimension five operator responsible for the light Majorana neutrino masses. We compare our results in the effective theory with those in the full seesaw theory.

hep-ph↗
arXiv2004

Testing the Leptogenesis Mechanism of the Seesaw Model

The seesaw theory, the leading theory for particle interactions, provides a viable mechanism for generating the matter-antimatter asymmetry of the universe. Testing the leptogenesis mechanism directly requires measurement of the d=6 operator of the low-energy effective Lagrangian, in addition to the more familiar d=5 operator which generates Majorana masses for the light neutrinos when the electroweak symmetry is spontaneously broken. This important experimental challenge awaits the next generation of particle physicists.

hep-ph↗
arXiv2004

Baryon Exotics in the Quark Model, the Skyrme Model and QCD

We identify the quantum numbers of baryon exotics in the Quark Model, the Skyrme Model and QCD, and show that they agree for arbitrary colors and flavors. We define exoticness, E, which can be used to classify the states. The exotic baryons include the recently discovered qqqq qbar pentaquarks (E=1), as well as exotic baryons with additional q qbar pairs (E >=1). The mass formula for non-exotic and exotic baryons is given as an expansion in 1/N, and allows one to relate the moment of inertia of the Skyrme soliton to the mass of a constituent quark.

hep-ph↗
arXiv2001

Testing the Cosmic Coincidence Problem and the Nature of Dark Energy

Dark energy models which alter the relative scaling behavior of dark energy and matter could provide a natural solution to the cosmic coincidence problem - why the densities of dark energy and dark matter are comparable today. A generalized class of dark energy models is introduced which allows non-canonical scaling of the ratio of dark matter and dark energy with the Robertson-Walker scale factor a(t). Upcoming observations, such as a high redshift supernova survey, application of the Alcock-Paczynski test to quasar pairs, and cluster evolution, will strongly constrain the relative scaling of dark matter and dark energy as well as the equation of state of the dark energy. Thus, whether there actually is a coincidence problem, and the extent of cosmic coincidence in the universe's recent past can be answered observationally in the near future. Determining whether today is a special time in the history of the universe will be a SNAP.

astro-ph↗
arXiv2000

Baryon Masses in the 1/N Expansion

The masses of baryons and heavy quark baryons are studied analytically in an expansion in 1/N, SU(3) flavor symmetry breaking and heavy-quark symmetry breaking. The measured baryon masses are in striking agreement with the 1/N hierarchy.

hep-lat↗
arXiv2000

On the structure of large N cancellations in baryon chiral perturbation theory

We show how to compute loop graphs in heavy baryon chiral perturbation theory including the full functional dependence on the ratio of the Delta--nucleon mass difference to the pion mass, while at the same time automatically incorporating the 1/N cancellations that follow from the large-N spin-flavor symmetry of baryons in QCD. The one-loop renormalization of the baryon axial vector current is studied to demonstrate the procedure. A new cancellation is identified in the one-loop contribution to the baryon axial vector current. We show that loop corrections to the axial vector currents are exceptionally sensitive to deviations of the ratios of baryon-pion axial couplings from SU(6) values.

hep-ph↗
arXiv1998

SU(3) symmetry breaking in hyperon semileptonic decays

Flavor SU(3) symmetry breaking in the hyperon semileptonic decay form-factors is analyzed using the 1/N expansion. A detailed comparison with experimental data shows that corrections to f_1 are approximately 10%, which agrees with theoretical expectations. Corrections to g_1 are compatible with first-order symmetry breaking. A fit to the experimental data allows one to predict the g_1 form factor for Xi^0 -> Sigma^+ decay. The proton matrix element of the T^8 component of the axial current (which is equal to 3F-D in the SU(3) symmetry limit) is found to be approximately 0.34.

hep-ph↗
arXiv1998

Large-N_c Baryons

A spin-flavor symmetry emerges for baryons in the large-N_c limit. Large-N_c baryons form irreducible representations of the spin-flavor algebra, and their static properties can be computed in a systematic expansion in 1/N_c. Symmetry relations for static baryon matrix elements are obtained at various orders in the 1/N_c expansion by neglecting subleading 1/N_c corrections. Equivalent relations arise in the quark and Skyrme models, which satisfy the same large-N_c group theory as QCD. The 1/N_c expansion yields useful results for QCD baryons with N_c=3.

hep-ph↗
arXiv1996

The Rare Top Decays $t \to b W^+ Z$ and $t \to c W^+ W^-$

The large value of the top quark mass implies that the rare top decays $t \rightarrow b W^+ Z, s W^+ Z$ and $d W^+ Z$, and $t \rightarrow c W^+ W^-$ and $u W^+ W^-$, are kinematically allowed decays so long as $m_t \ge m_W + m_Z + m_{d_i} \approx 171.5 GeV + m_{d_i}$ or $m_t \ge 2m_W + m_{u,c} \approx 160.6 GeV + m_{u,c}$, respectively. The partial decay widths for these decay modes are calculated in the standard model. The partial widths depend sensitively on the precise value of the top quark mass. The branching ratio for $t\rightarrow b W^+ Z$ is as much as $2 \times 10^{-5}$ for $m_t = 200 GeV$, and could be observable at LHC. The rare decay modes $t \rightarrow c W^+ W^-$ and $u W^+ W^-$ are highly GIM-suppressed, and thus provide a means for testing the GIM mechanism for three generations of quarks in the u, c, t sector.

hep-ph↗
arXiv1996

Update of Heavy Baryon Mass Predictions

Predictions of unknown heavy baryon masses based on an expansion in $1/m_Q$, $1/N_c$ and $SU(3)$ breaking are updated to take into account a recent measurement of the $Σ_c^*$ mass. Values are given for the two remaining unknown charm baryon masses $Ξ_c^\prime$ and $Ω_c^*$ and the seven unknown bottom baryon masses $Ξ_b, Σ_b, Ξ_b^\prime, Ω_b, Σ_b^*, Ξ_b^*$ and $Ω_b^*$.

hep-ph↗
arXiv1996

Heavy Baryon Masses in the $1/m_Q$ and $1/N_c$ Expansions

The masses of baryons containing a single heavy quark are studied in a combined expansion in $1/m_Q$, $1/N_c$ and $SU(3)$ flavor symmetry breaking. Heavy quark baryon mass splittings are related to mass splittings of the octet and decuplet baryons. The $Σ_c^*$, $Ξ_c^\prime$ and $Ω_c^*$ are predicted to the level of a few MeV. A number of bottom baryon mass splittings are predicted very accurately.

hep-ph↗