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Wei-Shu Hou

Publications and source records attributed to Wei-Shu Hou.

At least 109 records · Page 6Linked to original sources

Three-body Baryonic anti-B -->Lambda anti-p pi Decays and Such

We study decay rates and spectra of anti-B --> Lambda anti-p pi, Sigma0 anti-p pi, Sigma- anti-n pi, Xi0 anti-Sigma+ pi, Xi- anti-Sigma0 pi and Xi- anti-Lambda pi modes under a factorization approach. The baryon pairs are produced through vector, axial vector, scalar and pseudoscalar operators. Previous predictions, including ours, are an order of magnitude too small compared to experiment. By incorporating QCD counting rules and studying the asymptotic behavior, we find an earlier relation between the pseudoscalar and axial vector form factors to be too restrictive. Instead, the pseudoscalar and scalar form factors are related asymptotically. Following this approach, the measured Lambda anti-p pi rate (~4.0x10^{-6}) and spectrum can be understood, and Lambda should be dominantly left-hand polarized, while we expect Br(Sigma0 anti-p pi)~1.6x10^{-6}. These results and other predictions can be checked soon.

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Effect of Fourth Generation CP Phase on b\to s Transitions

We study the effect of a sequential fourth generation on b\to s gamma, B_s mixing, B\to K^{(*)}\ell^+\ell^-, X_s\ell^+\ell^- and ϕK_S, taking into account the presence of a new CP phase in quark mixing. We find that the effects via electromagnetic and strong penguins, such as in b\to s gamma or CP violation in B\to ϕK_S, are rather mild, but impact via box or Z penguins is quite significant. Not only can one have much larger than expected B_s mixing, even if it is measured near the present limit, mixing dependent CP violation could become maximal. For electroweak penguin modes, the fourth generation can provide the enhancement that perhaps may be needed, while the m_{\ell^+\ell^-} dependence of the forward-backward asymmetry in B\to K^{*}\ell^+\ell^- can further probe for the fourth generation. These effects can be studied in detail at the B factories and the Tevatron.

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Evidence for Factorization in Three-body B --> D(*) K- K0 Decays

Motivated by recent experimental results, we use a factorization approach to study the three-body B --> D(*) K- K0 decay modes. Two mechanisms are proposed for kaon pair production: current-produced (from vacuum) and transition (from B meson). The Bbar0 --> D(*)+ K- K0 decay is governed solely by the current-produced mechanism. As the kaon pair can be produced only by the vector current, the matrix element can be extracted from e+ e- --> K Kbar processes via isospin relations. The decay rates obtained this way are in good agreement with experiment. Both current-produced and transition processes contribute to B- --> D(*)0 K- K0 decays. By using QCD counting rules and the measured B- --> D(*)0 K- K0 decay rates, the measured decay spectra can be understood.

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The Glueball Spectrum from a Potential Model

The spectrum of two-gluon glueballs below 3 GeV is investigated in a potential model with dynamical gluon mass using variational method. The short distance potential is approximated by one-gluon exchange, while the long distance part is taken as a breakable string. The mass and size of the radial as well as orbital excitations up to principle quantum number n=3 are evaluated. The predicted mass ratios are compared with experimental and lattice results.

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Charmless Three-Body Baryonic B Decays

Motivated by recent data on B-> p pbar K decay, we study various charmless three-body baryonic B decay modes, including Lambda pbar pi, Sigma0 pbar pi, p pbar pi, p pbar Kbar0, in a factorization approach. These modes have rates of order 10^{-6}. There are two mechanisms for the baryon pair production, current-produced and transition. The behavior of decay spectra from these baryon production mechanisms can be understood by using QCD counting rules. Predictions on rates and decay spectra can be checked in the near future.

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Possible Hints and Search for Glueball Production in Charmless Rare B Decays

Recent data on B->p pbar K, K0 pi pi and K Kbar K hint at a $\sim 2.3$ GeV object recoiling against a kaon. This could be the narrow state observed in J/ψ-> gamma xi. Nonobservation in p pbar annihilation implies ${\cal B}(ξ\to p\bar p) \sim$ few $\times 10^{-3}$, consistent with eta_c and J/ψdecays, but there are actual hints in p pbar -> phi phi and p p-> p pi^+ pi^- pi^+ pi^- p. Simple modeling shows ${\cal B}(B \to ξK){\cal B}(ξ\to p\bar p) \sim 1\times 10^{-6}$, appearing as a spike in the $p\bar p$ spectrum, with $\sim$ 30 events per 100 fb$^{-1}$; modes such as K K_s K_s, K phi phi, K4 pi (K f_2 pi pi) etc. should be explored. The underlying dynamics of g* -> g xi is analogous to g* -> g etaprime or gluon fragmentation. Discovery of sizable B -> xi K could be useful for CP violation studies.

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Final State Rescattering and Color-suppressed \bar B^0-> D^{(*)0} h^0 Decays

The color-suppressed \bar B^0-> D^{(*)0}π^0, D^{(*)0}η, D^0ωdecay modes have just been observed for the first time. The rates are all larger than expected, hinting at the presence of final state interactions. Considering \bar B^0-> D^{(*)0}π^0 mode alone, an elastic D^{(*)}π-> D^{(*)}πrescattering phase difference δ\equiv δ_{1/2} - δ_{3/2} \sim 30^\circ would suffice, but the \bar B^0-> D^{(*)0}η, D^0ωmodes compel one to extend the elastic formalism to SU(3) symmetry. We find that a universal a_2/a_1=0.25 and two strong phase differences 20^\circ \sim θ< δ< δ^\prime \sim 50^\circ can describe both DP and D^*P modes rather well; the large phase of order 50^\circ is needed to account for the strength of {\it both} the D^{(*)0}π^0 and D^{(*)0}ηmodes. For DV modes, the nonet symmetry reduces the number of physical phases to just one, giving better predictive power. Two solutions are found. We predict the rates of the \bar B^0-> D^{+}_s K^-, D^{*+}_s K^-, D^0ρ^0, D^+_s K^{*-} and D^0ϕmodes, as well as \bar B^0-> D^{0}\bar K^0, D^{*0}\bar K^0, D^{0}\bar K^{*0} modes. The formalism may have implications for rates and CP asymmetries of charmless modes.

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B meson decays to baryons in the diquark model

We study B meson decays to two charmless baryons in the diquark model, including strong and electroweak penguins as well as the tree operators. It is shown that penguin operators can enhance $\bar{B} \to \Bb_s \bar{\Bb}$ considerably, but affect $\bar{B} \to \Bb_1 \bar{\Bb}_2$ only slightly, where $\Bb_{(1,2)}$ and $\Bb_s$ are non-strange and strange baryons, respectively. The $γ$ dependence of the decay rates due to tree-penguin interference is illustrated. In principle, some of the $\Bb_s \bar{\Bb}$ modes could dominate over $\Bb_1 \bar{\Bb}_2$ for $γ> 90^\circ$, but in general the effect is milder than their mesonic counterparts. This is because the $O_6$ operator can only produce vector but not scalar diquarks, while the opposite is true for $O_1$ and $O_4$. Predictions from diquark model are compared to those from the sum rule calculation. The decays $\bar{B} \to \Bb_s \bar{\Bb}_s$ and inclusive baryonic decays are also discussed.

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One-Loop Analysis of FCNC Induced by Right-handed Down Squark Mixings

If the underlying flavor symmetry is Abelian, quark mixings in $d_R$ sector are the most prominent. Such flavor violating effects can reveal itself through $\tilde d_R$ squark mixings if supersymmetry is realized in Nature. Quark-squark alignment is necessary to deal with $Δm_K$ and $ε_K$ constraints, but interestingly, with $m_{\tilde q}$, $m_{\tilde g} \sim$ TeV, the $\tilde d_R$ mixing effects are comparable to $B_d$ and $B_s$ mixings in the Standard Model, while $D^0$ mixing is tantalizingly close to some hints from data. CP phases in these mixings would therefore be deviant, and $| V_{td}|$ and $\arg V_{ub}^*$ may be larger than allowed by unitarity constraints, which can be checked by the BaBar and Belle experiments. Mixing induced CP violation in $b\to sγ$ and $dγ$ transitions can be obtained, in particular, by sizable enhancement with an extra $\tanβ$ factor from non-standard soft breaking terms. Heavy superparticles can escape present flavor changing neutral current (FCNC) bounds and direct searches at colliders, but reveal themselves in the B system.

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Impact of a Light Strange-Beauty Squark on B_s Mixing and Direct Search

If one has Abelian flavor symmetry, $s_R$-$b_R$ mixing could be near maximal. This can drive a "strange-beauty" squark ($\widetilde{sb}_{1}$) to be rather light, but still evade the $b\to sγ$ constraint. Low energy constraints imply that all other superpartners are at TeV scale, except for a possibly light neutralino, $\widetilde χ_1^0$. Whether light or heavy, the $\widetilde{sb}_{1}$ can impact on the $B_s$ system: $Δm_{B_s}$ and indirect CP phase, even for $B_s \to ϕγ$. Direct search is similar to usual $\tilde b \to b\widetilde χ_1^0$, but existing bounds are weakened by $\widetilde{sb}_{1} \to s\widetilde χ_1^0$ possibility. All these effects could be studied soon at the Tevatron.

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Prediction of Three-body $B^0\to ρ^-p\bar{n}, π^-p\bar{n}$ Decay Rates

We predict the rates of the charmless three-body $B^0\to ρ^-p\bar{n}$ and $π^-p\bar{n}$ modes due to weak vector current contributions to be $\sim 4\times 10^{-6}$ and $2\times 10^{-6}$, respectively. The basis is a factorization approach of current produced nucleon pairs, together with an isospin transformation that relates nucleon weak vector form factors to electromagnetic form factors. Adding the axial vector current contribution, we find $B^0\to ρ^-p\bar{n}$ and $B^+\to ρ^0p\bar{n}$ to be at $10^{-5}$ order. The three-body modes appear to dominate over the two-body modes such as $B\to p\bar{p}$, $p\bar Λ$.

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Understanding $B\to D^{*-}N\bar{N}$ and Its Implications

The CLEO Collaboration recently reported the observation of the $B^0\to D^{*-}p\bar{n}$ mode at a rate only a factor of 4--5 lower than $B^0\to D^{*-}ρ^+$ and $D^{*-}π^+$. We try to understand this with a factorization approach of current produced nucleon pairs. The baryon weak vector current form factors are related by isospin rotation to nucleon electromagnetic form factors. By using $G^{p,n}_M$ measured from $e^+e^-\to \bar{N}N$ and $p\bar{p}\to e^+e^-$ processes, assuming factorization of the $B^0\to D^{*-}$ transition and the $p\bar n$ pair production, we are able to account for up to 60% of the observed rate. The remainder is argued to arise from the axial current. The model is then applied to B decays to other mesons plus $p\bar{n}$ modes and $D^{*-}$ plus strange baryon pairs.

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Window on Higgs Boson: Fourth Generation $b^\prime$ Decays Revisited

Direct and indirect searches of the Higgs boson suggest that 113 GeV $\lesssim m_H \lesssim$ 170 GeV is likely. With the LEP era over and the Tevatron Run II search via $p\bar p \to WH+X$ arduous, we revisit a case where $WH$ or $ZH +$ jets could arise via strong $b^\prime\bar b^\prime$ pair production. In contrast to 10 years ago, the tight electroweak constraint on $t^\prime$--$b^\prime$ (hence $t^\prime$--$t$) splitting reduces FCNC $b^\prime\to bZ$, $bH$ rates, making $b^\prime\to cW$ naturally competitive. Such a "cocktail solution" is precisely the mix that could evade the CDF search for $b^\prime\to bZ$, and the $b^\prime$ may well be lurking below the top. In light of the Higgs program, this two-in-one strategy should be pursued.

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Supersymmetric Model Contributions to $B^0_d$--$\bar B^0_d$ Mixing and $B\toππ,ργ$ Decays

Recent results from Belle and BaBar Collaborations hint at a small $\sin2ϕ_1$, while the measured $B\toππ$ rate also seems to be on the low side. Supersymmetric (SUSY) models with down squark mixings can account for the deficits in both cases. By studying the origin of SUSY contributions that could impact on $B^0_d$--$\bar B^0_d$ mixing and $B\toππ$ decay, we find that the former would most likely arise from left-left or right-right squark mixings, while the latter would come from left-right squark mixings. These two processes in general are not much correlated in the Minimum Supersymmetric Standard Model. If the smallness of $B\toππ$ is due to SUSY models, one would likely have large $B\toργ$ from chiral enhancement, and the rate could be within present experimental reach. Even if $B\toργ$ is not greatly enhanced, it could have large mixing dependent CP violation.

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Probing for the Charm Content of $B$ and $Υ$ Mesons

A slow $J/ψ$ bump exists in the inclusive $B\to J/ψ+ X$ spectrum, while the softness of $J/ψ$ spectrum in $Υ(1S) \to J/ψ+ X$ decay is in strong contrast with expectations from color octet mechanism. We propose {\it intrinsic} charm as the explanation:the former is due to $\bar B\to J/ψD π$,with three charm quarks in the final state; the latter is just a small fraction of $Υ(1S) \to (c\bar c)_{\rm slow} + 2$"jet" events, where the slow moving $c\bar c$ system evolves into $D^{(*)}$ pairs. Experimental search for these phenomena at B Factories and the Tevatron is strongly urged, as the implications go beyond QCD.

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Glueball States in a Constituent Gluon Model

In a model with dynamical gluon mass, we investigate the bound states of two and three gluons via a Schrödinger equation. The short distance potential is approximated by one-gluon-exchange while the long distance part is assumed to be of a breakable string. We estimate the masses and in particular the {\it sizes} of low-lying bound states with no orbital angular momentum. By considering quantum-mechanical smearing of the gluon fields and normalizing to lattice results on $M_{0^{++}}$ and $M_{2^{++}}$, we find that the $0^{++}$ glueball is rather small in size compared with the others. The fitted gluon mass is of order 600 to 700 MeV, which is reasonable. The 3-gluon glueballs $0^{-+}$, $1^{--}$ and $3^{--}$ states are nearly degenerate, and their mass ratio with $2^{++}$ is largely independent of all parameters and consistent with lattice calculations. We estimate the mass of $1^{--}$ glueball to be $3.1-3.7$ GeV, which is close to the mass of $J/ψ$ and $ψ^\prime$.

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Phenomenological Consequences of Right-handed Down Squark Mixings

The mixings of $d_R$ quarks, hidden from view in Standard Model (SM), are naturally the largest if one has an Abelian flavor symmetry. With supersymmetry (SUSY) their effects can surface via $\tilde d_R$ squark loops. Squark and gluino masses are at TeV scale, but they can still induce effects comparable to SM in $B_d$ (or $B_s$) mixings, while $D^0$ mixing could be close to recent hints from data. In general, CP phases would be different from SM, as may be indicated by recent B Factory data. Presence of non-standard soft SUSY breakings with large $\tanβ$ could enhance $b\to dγ$ (or $sγ$) transitions.

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Pathways to Rare Baryonic B Decays

We point out new ways to search for charmless baryonic B decays: baryon pair production in association with $η^\prime$ is very likely as large as or even a bit larger than two body $Kπ/ππ$ modes. We extend our argument, in weaker form, to $B\to γ+ X_s$ and $\ellν+X$. Although calculations are not reliable, estimates give branching ratios of order $10^{-5}$--$10^{-6}$, where confidence is gained from recent experimental finding that $B \to D^{*} p \bar n$, $D^{*} p \bar p π$ are not far below $D^*π$ and $D^*ρ$ rates. Observation of charmless baryon modes would help clarify the dynamics of weak decays to baryonic final states, while the self-analyzing prowess of the $Λ$-baryon can be helpful in CP- and T-violation studies.

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