arXiv subjects
Publications and source records attributed to Jonathan L. Rosner.
Some recent issues in the theory of heavy quarkonium are discussed. Many of these deal with the need to extend the description of charmonium and bottomonium states beyond the simple quark-antiquark picture. Some recent progress on radiative transitions in bottomonium is also described.
Theoretical remarks are offered regarding recent hadron collider results on the mixing and decays of $B_s$ mesons. Topics covered include: (1) CP-violating mixing in $B_s(\ob_s) \to J/ψϕ$, (2) the D0 dimuon charge asymmetry, (3) information from triple products, (4) $B_s \to J/ψf_0$, (5) new physics constraints, (6) some illustrative new physics scenarios.
The reaction $e^+ e^- \to (D_s^{*+} D_s^- + {\rm c.c.})$ has been used with great success at the CLEO-c detector, and will be a source of valuable future data from the BES-III detector, to obtain information about the properties and decays of the $D_s$ and $D_s^*$. The angular distributions of the $D_s^*$ and the final-state particles in $D_s^* \to D_s γ$ are needed to model the decays properly, to confirm the spin-parity assignment $J^P(D_s^*) = 1^-$, and to model the acceptance for the rare process $D_s^* \to D_s e^+ e^-$. This note presents some of the necessary expressions.
Ratios of charmed meson and baryon semileptonic decay rates appear to be satisfactorily described by considering only the lowest-lying (S-wave) hadronic final states and assuming the kinematic factor describing phase space suppression is the same as that for free quarks. For example, the rate for $D_s$ semileptonic decay is known to be $(17.0 \pm 5.3)%$ lower than those for $D^0$ or $D^+$, and the model accounts for this difference. When applied to hadrons containing $b$ quarks, this method implies that the $B_s$ semileptonic decay rate is about 1% higher than that of the nonstrange $B$ mesons. This small difference thus suggests surprisingly good local quark-hadron duality for $B$ semileptonic decays, complementing the expectation based on inclusive quark-hadron duality that these differences in rates should not exceed a few tenths of a percent. For $Λ_b$ semileptonic decay, however, the inclusive rate is predicted to be about 13% greater than that of the nonstrange $B$ mesons. This value, representing a considerable departure from a calculation using a heavy quark expansion, is close to the corresponding experimental ratio $Γ(Λ_b)/ \bar Γ(B) = 1.13 \pm 0.03$ of total decay rates.
A recent study of $D^0 \to π^0 K^+ K^-$ and $D^0 \to K_S π^+π^-$ describes a flavor-symmetric approach to calculate relative amplitudes and phases, for characteristic interferences between $D$ decays to a light pseudoscalar $P$ and a light vector $V$, on Dalitz plots for $D \to PPP$ decays. The flavor-symmetric approach used an earlier fit to $D \to P V$ decay rates and was found to agree fairly well with experiments for $D^0 \to π^0 π^+ π^-$ but not as well for $D^0 \to π^0 K^+ K^-$ and $D^0 \to K_S π^+π^-$. The present work extends this investigation to include $D^0 \to K^- π^+ π^0$. We use an SU(3) flavor symmetry relationship between ratios of Cabibbo-favored (CF) $D \to P V$ amplitudes in $D^0 \to K^- π^+ π^0$ and ratios of singly- Cabibbo-suppressed (SCS) $D \to P V$ amplitudes in $D^0 \to π^0 K^+ K^-$ and $D^0 \to π^0 π^+ π^-$. We observe that experimental values for Dalitz plot cross ratios obey this relationship up to discrepancies noted previously. The need for an updated Dalitz plot analysis of $D^0 \to K^- π^+ π^0$ is emphasized.
Relative phases of amplitudes for $D$ meson decays to a light pseudoscalar meson $P$ and a light vector meson $V$ decaying to two pseudoscalar mesons will lead to characteristic interferences on the three-body Dalitz plot. These phases may be compared with predictions of a flavor-symmetric treatment which extracts contributing amplitudes and their relative phases from a fit to $D \to PV$ decay rates. Good agreement was found previously for the cases of $D^0 \to K^- π^+ π^0$ and $D^0 \to π^+ π^- π^0$. The present work is devoted to the decays $D^0 \to K_S π^+ π^-$ and $D^0 \to π^0 K^+ K^-$, for which agreement is not found. Several suggestions are offered for this discrepancy.
A direct CP asymmetry in inclusive semileptonic B_(s) decays vanishes by CPT to lowest order in weak interactions. Calculating the asymmetry at second order weak interactions in the Cabibbo-Kobayashi-Maskawa framework we find A_{sl} = (-3.2 \pm 0.9) x 10^{-9}. A maximal asymmetry which is two orders of magnitude larger is estimated in a left-right symmetric model. This quite generic upper bound implies negligible effects on wrong-sign lepton asymmetries in B^0 and B_s decays.
The D0 Collaboration has reported an excess of roughly one percent of $μ^- μ^-$ pairs over $μ^+ μ^+$ pairs in $\bar p p$ collisions at a center-of-mass energy $\sqrt{s} = 1.96$ GeV at the Fermilab Tevatron, when known backgrounds are subtracted. This excess, if ascribed to CP violation in meson-antimeson mixing of non-strange or strange neutral $B$ mesons, is about 40 times that expected in the Standard Model (SM). We propose a null test, based on a tight restriction on the muon impact parameter $b$, to confirm that this excess is indeed due to $B$ mesons. If the asymmetry is due to anomalous CP violation in $B_s$-$\bar B_s$ mixing then a tight restriction on $b$ would increase by a factor two the net asymmetry from neutral $B$ mixing, while the sample of dimuons from neutral $B$ decays will be reduced significantly relative to background events.
Charmed meson decays to a light pseudoscalar ($P$) and light vector ($V$) meson are analyzed taking account of $η$--$η'$ mixing. A frequently-used octet-singlet mixing angle of $19.5^\circ$ is compared with a value of $11.7^\circ$ favored by a recent analysis of $D \to PP$ decays.
Precision electroweak physics can provide fertile ground for uncovering new physics beyond the Standard Model (SM). One area in which new physics can appear is in so-called "oblique corrections", i.e., next-to-leading order expansions of bosonic propagators corresponding to vacuum polarization. One may parametrize their effects in terms of quantities $S$ and $T$ that discriminate between conservation and non-conservation of isospin. This provides a means of comparing the relative contributions of precision electroweak experiments to constraints on new physics. Given the prevalence of strongly $T$-sensitive experiments, there is an acute need for further constraints on $S$, such as provided by atomic parity-violating experiments on heavy atoms. We evaluate constraints on $S$ arising from recently improved calculations in the Cs atom. We show that the top quark mass $m_t$ provides stringent constraints on $S$ within the context of the Standard Model. We also consider the potential contributions of next-generation neutrino scattering experiments to improved $(S,T)$ constraints.
The BaBar Collaboration has pointed out that $D^0 \to π^+ π^- π^0$ is dominated by an isospin-zero final state, leading to nearly complete depletion of the Dalitz plot along all three diagonals. In flavor-SU(3) approaches to charmed particle decays to a light vector and a light pseudoscalar particle, this behavior is seen, but does not appear to have a fundamental origin. Instead, it arises as a result of approximate cancellation of higher-isospin combinations of several types of amplitudes: color-favored tree, color-suppressed tree, and exchange. Interpretation in terms of a direct-channel effect would require an exotic resonance, with spin, parity, and charge-congjugation eigenvalues $J^{PC} = 0^{--}$.
A phase $ΔΦ$ between amplitudes for $B^0 \to K^{*0} π^0$ and $B^0 \to K^{*+} π^-$ plays a crucial role in a method for constraining Cabibbo-Kobayashi-Maskawa (CKM) parameters. We present a general argument for destructive interference between amplitudes for $B^0 \to K^{*+} π^-$ and $B^0 \to K^{*0} π^0$ forming together a smaller $I(K^* π) = 3/2$ amplitude. Applying flavor SU(3) and allowing for conservative theoretical uncertainties, we obtain lower limits on $|ΔΦ|$ and its charge-conjugate. Values of these two phases favored by the BaBar Collaboration are in good agreement with our bounds.
We review the physics of purely leptonic decays of $π^\pm$, $K^\pm$, $D^{\pm}$, $D_s^\pm$, and $B^\pm$ pseudoscalar mesons. The measured decay rates are related to the product of the relevant weak-interaction-based CKM matrix element of the constituent quarks and a strong interaction parameter related to the overlap of the quark and anti-quark wave-functions in the meson, called the decay constant $f_P$. The interplay between theory and experiment is different for each particle. Theoretical predictions of $f_B$ that are needed in the $B$ sector can be tested by measuring $f_{D^+}$ and $f_{D_s^+}$ in the charm sector. Currently, these tests are unsatisfactory. The lighter $π$ and $K$ mesons provide stringent comparisons between experiment and theory due to the accuracy of both the measurements and the theoretical predictions. An abridged version of this review was prepared for the Particle Data Group's 2010 edition.
We adopt a Markov Chain Monte Carlo method to examine various new physics models which can generate the forward-backward asymmetry in top quark pair production observed at the Tevatron by the CDF Collaboration. We study the following new physics models: (1) exotic gluon $G^\prime$, (2) extra $Z^\prime$ boson with flavor-conserving interaction, (3) extra $Z^\prime$ with flavor-violating $u$-$t$-$Z^\prime$ interaction, (4) extra $W^\prime$ with flavor-violating $d$-$t$-$W^\prime$ interaction, and (5) extra scalars $S$ and $S^\pm$ with flavor-violating $u$-$t$-$S$ and $d$-$t$-$S^\pm$ interactions. After combining the forward-backward asymmetry with the measurement of the top pair production cross section and the $t\bar{t}$ invariant mass distribution at the Tevatron, we find that an axial vector exotic gluon $G^\prime$ of mass about $1 {\rm TeV}$ or $2 {\rm TeV}$ or a $W^\prime$ of mass about $2 {\rm TeV}$ offer an improvement over the Standard Model. The other models considered do not fit the data significantly better than the Standard Model. We also emphasize a few points which have been long ignored in the literature for new physics searches: (1) heavy resonance width effects, (2) renormalization scale dependence, and (3) NLO corrections to the $t\bar{t}$ invariant mass spectrum. We argue that these three effects are crucial to test or exclude new physics effects in the top quark pair asymmetry.
"And should I not take pity on Nineveh, that great city, with more than a hundred and twenty thousand inhabitants who do not know their right hand from their left, and many beasts besides?" [Jonah 4:11]
A recent update of data on the decays of $D^0$, $D^+$, and $D_s^+$ to pairs of light pseudoscalars calls for a renewed analysis of key decay amplitudes and tests of flavor symmetry. The present data change our previous understanding of relative phases between amplitudes that describe Cabibbo-favored decays of the charmed mesons. The new data also seem to favor a smaller octet-singlet mixing angle for the $η$ and $η'$ mesons when singly-Cabibbo-suppressed processes are taken into account. We also discuss the effects of the new data on interference between Cabibbo-favored and doubly-Cabibbo-suppressed decays.
The physics underlying quark and lepton masses and mixings (the "flavor problem") is the least well understood aspect of the Standard Model. Some questions of flavor physics, and ways in which the LHC can help shed light on this problem, are described.
A recent analysis of $B \to πK$ decays concludes that present data do not clearly indicate whether (i) the standard model (or $ΔI=0$ new physics) is sufficient, or (ii) $ΔI=1$ new physics is needed. We show that these two possibilities can be distinguished by whether a sum rule relating the CP asymmetries of the four $B \to πK$ decays is valid. If case (i) is favored, the sum rule holds, and one predicts $A_{CP}(π^0 K^0) = -0.15$, while in case (ii) fits to new physics involving large values of a color-suppressed tree amplitude entail $A_{CP}(π^0 K^0) = -0.03$. The current experimental average $A_{CP}(π^0 K^0) = -0.01 \pm 0.10$ must be measured a factor of at least three times more precisely in order to distinguish between the two cases.