Generalizing the Coleman-Hill Theorem

Following the work of Khare {\it et al}, we show that the generalization to systems with spontaneous symmetry breaking of the Coleman-Hill theorem to one-loop order, can be extended to the case including fermions with the most general interactions. Although the correction to the parity-odd part of the vacuum polarization looks complicated in the Higgs phase, it turns out that the correction to the Chern-Simons term is identical to that in the symmetric phase, with the difference coming only from the contribution of the would be Chern-Simons term. We also discuss the implication of our result to nonabelian systems.Comment: 11 pages, uses phyzzx. Abstract and conclusion modified, new reference adde

Detecting the Higgs Bosons of Minimal Supergravity with Muon Pairs

The prospects at the CERN LHC are investigated for the discovery via decays into muon pairs of neutral Higgs bosons in the minimal supergravity model. Promising results are found for the CP-odd pseudoscalar ($A^0$) and the heavier CP-even scalar ($H^0$) Higgs bosons at large $\tan\beta \equiv v_2/v_1$. For \tan\beta \agt 10 and 100 GeV \alt m_A,m_H \alt 550 GeV, the $A^0$ and the $H^0$ masses could be precisely reconstructed from the dimuon invariant mass.Comment: 12 pages, REVTEX, 4 figure

Confirming the LHC Higgs Discovery with WW

We investigate the prospects of observing a neutral Higgs boson decaying into a pair of $W$ bosons (one real and the other virtual), followed by the $W$ decays into $qq' \ell\nu$ or $jj\ell\nu$ at the CERN Large Hadron Collider (LHC). Assuming that the missing transverse energy comes solely from the neutrino in $W$ decay, we can reconstruct the $W$ masses and then the Higgs mass. At the LHC with a center of mass energy ($\sqrt{s}$) of 8 TeV and an integrated luminosity ($L$) of 25 fb$^{-1}$, we can potentially establish a $6\sigma$ signal. A $5\sigma$ discovery of $H \to WW^* \to jj\ell\nu$ for $\sqrt{s} = 14$ TeV can be achieved with $L =$ 6 fb$^{-1}$. The discovery of $H \to WW$ implies that the recently discovered new boson is a CP-even scalar if its spin is zero. In addition, this channel will provide a good opportunity to study the $HWW$ coupling

Self-Dual Chern-Simons Higgs Systems with an N=3 Extended Supersymmetry

We construct and study an N=3 supersymmetric Chern-Simons Higgs theory. This theory is the maximally supersymmetric one containing the self-dual models with a single gauge field and no gravity.Comment: 22 pages, phyzzx, CU-TP-56

Prospects for Higgs Searches with the Tri-bottom Channel in Unified SUSY Models

We investigate the prospects for the discovery of a neutral Higgs boson produced in association with a $b$ quark, followed by the Higgs decay into a pair of bottom quarks, $pp \to b\phi^0 \to b b\bar{b} +X$, at the CERN Large Hadron Collider (LHC) within the framework of unified supersymmetric models. The Higgs boson $\phi^0$ can be a heavy scalar $H^0$ or a pseudoscalar $A^0$. Furthermore, this direct discovery channel is compared with the indirect Higgs searches in the rare decay $B_s \to \mu^+\mu^-$ at hadron colliders. Promising results are found for the minimal supergravity (mSUGRA) model, the anomaly mediated supersymmetry breaking (AMSB) model, and the gauge mediated supersymmetry breaking (GMSB) model. We find that the indirect search for $B(B_s \to \mu^+\mu^-) \ge 5\times 10^{-9}$ is complementary to the direct search for $b\phi^0 \to bb\bar{b}$ with $\sqrt{s} = 14$ TeV and an integrated luminosity ($L$) of 300 fb$^{-1}$. In the AMSB and GMSB models, $b\phi^0 \to bb\bar{b}$ with $L = 300$ fb$^{-1}$ covers a larger area in the parameter space than $B(B_s \to \mu^+\mu^-) \ge 5\times 10^{-9}$. In addition, we present constraints from $b \to s\gamma$ and muon anomalous dipole moment ($\Delta a_\mu$) on the parameter space.Comment: REVTEX, 23 pages, 4 figure

Searching for the Higgs Bosons of Minimal Supersymmetry with Muon Pairs and Bottom Quarks

The prospects for the discovery of neutral Higgs bosons (phi^0 = H^0, h^0, A^0) produced with bottom quarks via Higgs decays into muon pairs (pp --> b b-bar phi^0 --> b b-bar mu mu-bar +X) at the CERN LHC are investigated in the minimal supersymmetric model. The complete physics background from the production of b b-bar mu mu-bar, b b-bar W^+ W^- (including t t-bar) and jj mu mu-bar, j = g, u, d, s, c in the Standard Model is calculated with realistic acceptance cuts. This discovery mode has a simple production mechanism from gg --> b b-bar phi^0 with its cross section proportional to 1/cos^2(beta) and could provide an opportunity to measure tan(beta) and the b b-bar phi^0 couplings. In addition, we compare the associated discovery mode above with the inclusive discovery channel pp --> phi^0 --> mu mu-bar +X. Promising results are found for the CP-odd pseudoscalar (A^0) and the heavier CP-even scalar (H^0) Higgs bosons for tan(beta) equivalent to v_2/v_1 >~ 14 and m_A,m_H <~ 325 GeV.Comment: 12 pages, REVTeX, 4 Figure