arXiv subjects

C. E. Wolfe

Publications and source records attributed to C. E. Wolfe.

17 recordsLinked to original sources

arXiv2015

A resolution of the puzzle of low V_us values from inclusive flavor-breaking sum rule analyses of hadronic tau decay

Continuum and lattice methods are used to investigate systematic issues in the sum rule determination of $V_{us}$ using inclusive hadronic $τ$ decay data. Results for $V_{us}$ employing assumptions for $D>4$ OPE contributions used in previous conventional implementations of this approach are shown to display unphysical dependence on the sum rule weight, $w$, and choice of upper limit, $s_0$, of the relevant experimental spectral integrals. Continuum and lattice results suggest a new implementation of the sum rule approach with not just $\vert V_{us}\vert$, but also $D>4$ effective condensates, fit to data. Lattice results are also shown to provide a quantitative assessment of truncation uncertainties for the slowly converging $D=2$ OPE series. The new sum rule implementation yields $\vert V_{us}\vert$ results free of unphysical $s_0$- and $w$-dependences and $\sim 0.0020$ higher than that obtained using the conventional implementation. With preliminary new experimental results for the $Kπ$ branching fraction, the resulting $\vert V_{us}\vert$ is in excellent agreement with that based on $K_{\ell 3}$, and compatible within errors with expectations from three-family unitarity.

hep-ph↗

arXiv2015

A resolution of the inclusive flavor-breaking sum rule $τ$ $V_{us}$ puzzle

A combination of continuum and lattice methods is used to investigate systematic issues in the finite-energy-sum-rule determination of $V_{us}$ based on flavor-breaking combinations of hadronic $τ$ decay data. Results for $V_{us}$ obtained using assumptions for $D>4$ OPE contributions employed in previous conventional implementations of this approach are shown to display significant unphysical dependences on the choice of sum rule weight, $w$, and upper limit, $s_0$, of the relevant experimental spectral integrals. Continuum and lattice results suggest the necessity of a new implementation of the flavor-breaking sum rule approach, in which not only $\vert V_{us}\vert$, but also $D>4$ effective condensates are fit to data. Lattice results also provide a means of quantifying the truncation error for the slowly converging $D=2$ OPE series. The new implementation is shown to produce $\vert V_{us}\vert$ results free of unphysical $s_0$- and $w$-dependences and typically $\sim 0.0020$ higher than the (unstable) results found using the conventional implementation. With preliminary new experimental results for the $Kπ$ branching fraction, the resulting $\vert V_{us}\vert$ is in excellent agreement with that obtained from $K_{\ell 3}$, and compatible within errors with expectations from three-family unitarity.

hep-ph↗

arXiv2010

Consequences of the BaBar e^+e^- --> pi^+pi^- Measurement for the Determination of Model-Dependent rho-omega Mixing Effects in Pi_{ρω}(m_ρ^2) and (g-2)_mu

We update our analysis of rho-omega mixing effects in the pion form factor to incorporate the recently published BaBar e^+e^- --> pi^+π^- cross-sections. The implications for tau-decay-based Standard Model estimates of the leading order hadronic contribution [a_μ]_{had}^{LO}, to the anomalous magnetic moment of the muon, and for the extraction of the off-diagonal vector meson self-energy matrix element, Pi_{ρω}(m_ρ^2), are discussed.

hep-ph↗

arXiv2010

Models of Isospin Breaking in the Pion Form Factor: Consequences for the Determination of Pi_{ρω}(m_rho^2) and (g-2)_mu/2

We study the implications of several recent high-precision measurements of the pion form factor in the region of the rho-omega interference "shoulder" for (i) the extraction of the rho-omega mixing matrix element, Pi_{ρω}(m_rho^2), and (ii) the evaluation of the isospin-breaking (IB) correction needed to incorporate hadronic tau decay data into the determination of the Standard Model expectation for the leading order hadronic contribution, [a_mu]_{had}^{LO}, to the anomalous magnetic moment of the muon, focussing, in the latter case, on the model-dependence of the rho-omega mixing component of the IB correction. We consider a range of different models for the broad rho contribution to the e^+e^- --> ππamplitude, applying these models to each experimental data set, and find that the model dependence of the rho-omega mixing correction is significantly larger than the uncertainty induced by experimental errors for any individual model. We also find that, for each such model, the recent data allows one to separate rho-omega mixing and direct omega --> ππcoupling contributions to the amplitude, and hence to obtain a reasonably precise extraction of Pi_{ρω}(m_rho^2), uncontaminated by direct omega --> ππcoupling effects, for use in meson exchange model calculations of charge symmetry breaking in NN scattering.

hep-ph↗

arXiv2009

Status of the Hadronic tau Decay Determination of |V_{us}|

We update the hadronic tau determination of |V_{us}|, showing that current strange branching fractions produce results 2-3 sigma lower than 3-family unitarity expectations. Issues related to the size of theoretical uncertainties and results from an alternate, mixed tau-electroproduction sum rule determination (which, by construction, produces a much smaller theoretical uncertainty), are also considered.

hep-ph↗

arXiv2008

Status of the Hadronic Tau Determination of V_us

We update the extraction of |V_{us}| from hadronic tau decay data in light of recent BaBar and Belle results on the branching fractions of a number of important strange decay modes. A range of sum rule analyses is performed, particular attention being paid to those based on "non-spectral weights", developed previously to bring the slow convergence of the relevant integrated D=2 OPE series under improved control. Results from the various sum rules are shown to be in good agreement with one another, but ~3 sigma below expectations based on 3-family unitarity. Important avenues for future study are briefly discussed.

hep-ph↗

arXiv2007

V_us (and m_s) From Hadronic Tau Decays

We describe how complications encountered in the extraction of V_us from flavor-breaking hadronic tau decay sum rules, in particular those associated with the slower than previously anticipated convergence of the relevant D=2 OPE series, can be successfully dealt with through judicious choices of sum rule weight. Problems with the previously proposed ``(0,0) spectral weight'' version of the analysis, and the much improved situation produced by the use of a number of alternate, non-spectral-weights, are demonstrated. The method is shown to promise a sub-0.0010-accuracy determination of V_us once analysis of the improved strange spectral data from BABAR and BELLE is completed. Connections to the tau versus electroproduction puzzle in the evaluation of the leading order hadronic contribution to (g-2)_mu are also discussed.

hep-ph↗

arXiv2007

Joint Extraction of m_s and V_us from Hadronic Tau Decays

We study the simultaneous determination of m_s and V_us from flavor-breaking hadronic tau decay sum rules using weights designed to bring under better control problems associated with the slow convergence of the relevant D=2 OPE series. Much improved stability and consistency is found as compared to the results of conventional analyses based on the ``(k,0) spectral weights''. Results for m_s are in excellent agreement with those of recent strange scalar and strange pseudoscalar sum rule analyses, as well as recent lattice analyses, while those for V_us agree within errors with the output from recent lattice-based Gamma[K_{mu 2}]/Gamma[pi_{mu 2}] and K_{\ell 3}-based analyses. Very significant error reductions are shown to be expected, especially for V_us, once the improved strange spectral data from the B factory experiments becomes available.

hep-ph↗

arXiv2006

The Joint Extraction of m_s and V_us From Hadronic Tau Decay Data

We discuss the simultaneous determination of m_s and V_us from flavor-breaking hadronic tau decay sum rules, focussing on weight choices designed to better control problems associated with the slow convergence of the relevant integrated D=2 OPE series. The results are found to display improved stability and consistency relative to those of conventional analyses based on the ``(k,0) spectral weights''. The results for m_s agree well with those of recent strange scalar sum rule and strange pseudoscalar sum rule and lattice analyses. Results for V_us agree within errors with those of lattice-input-based K_{ell 3} and Gamma [K_{mu 2}]/Γ[pi_{mu 2}] analyses. Very significant error reductions are shown to be expected, especially for V_us, once improved strange spectral data from the B factory experiments becomes available.

hep-ph↗

arXiv2006

V_us From Hadronic Tau Decays

We study extractions of |V_us| based on finite energy sum rule (FESR) analyses of hadronic tau decay data. We show (i) that the ``(0,0) spectral weight'' implementation (proposed previously in the literature as a favorable version of this analysis) suffers from significant convergence problems, but (ii) that alternate implementations exist which bring these problems under control. Results based on present spectral data are shown to be in agreement with those of other approaches, though with, at present, somewhat larger experimental errors. Sub-1% determinations of |V_us| are also shown to be expected from these alternate analyses once tau data from the B factories becomes available.

hep-ph↗

arXiv2006

V_us From Hadronin Tau Decays

We study the reliability of extractions of |V_{us}| based on flavor-breaking hadronic tau decay sum rules. The ``(0,0) spectral weight'', proposed previously as a favorable candidate for this extraction, is shown to produce results having poor stability with respect to s_0, the upper limit on the relevant spectral integral, suggesting theoretical errors much larger than previously anticipated. We argue that this instability is due to the poor convergence of the integrated D=2 OPE series. Alternate weight choices designed to bring this convergence under better control are shown to produce significantly improved stability, and determinations of |V_{us}| which are both mutually compatible, and consistent, within errors, with values obtained by other methods.

hep-ph↗

arXiv2000

The Strong Isospin-Breaking Correction for the Gluonic Penguin Contribution to epsilon'/epsilon at Next-to-Leading Order in the Chiral Expansion

The strong isospin-breaking correction, Omega_{st}, which appears in estimates of the Standard Model value for the direct CP-violating ratio epsilon'/epsilon, is evaluated to next-to-leading order (NLO) in the chiral expansion using Chiral Perturbation Theory. The relevant linear combinations of the unknown NLO CP-odd weak low-energy constants (LEC's) which, in combination with 1-loop and strong LEC contributions, are required for a complete determination at this order, are estimated using two different models. It is found that, to NLO, Omega_{st}=0.08 +/- 0.05, significantly reduced from the ``standard'' value, 0.25 +/- 0.08, employed in recent analyses. The potentially significant numerical impact of this decrease on Standard Model predictions for epsilon'/epsilon, associated with the decreased cancellation between gluonic penguin and electroweak penguin contributions, is also discussed.

hep-ph↗

arXiv2000

Strong Isospin Breaking in CP-even and CP-odd K -> pi pi Decays

Complete next-to-leading (chiral) order (NLO) expressions for the strong isospin-breaking (IB) contributions in K -> pi pi are used to discuss (1) for CP-even, the impact on the magnitude of the Delta I=1/2 Rule, and (2) for CP-odd, the strong IB correction, Omega_st, for the gluonic penguin contribution to epsilon'/epsilon, with particular emphasis on the strong low-energy constant (LEC) and loop contributions, numerical values for which are model-independent at NLO.

hep-ph↗

arXiv2000

O(m_d-m_u) Effects in CP-even and CP-odd K-->pi pi Decays

Strong isospin-breaking (IB) effects in CP-even and CP-odd K-->pi pi decays are computed to next-to-leading order (NLO) in the chiral expansion. The impact of these corrections on the magnitude of the Delta I=1/2 Rule and on the size of the IB correction, Omega_IB, to the gluonic penguin contribution to epsilon'/epsilon are discussed.

hep-ph↗

arXiv2000

Isospin Breaking in the Extraction of Isovector and Isoscalar Spectral Functions from e^+e^- --> hadrons

A finite energy sum rule (FESR) analysis of the isospin-breaking vector current correlator <0|T(V^3_μV^8_ν)|0> is used to determine the isospin-breaking electromagnetic (EM) decay constants of the low-lying vector mesons. These results are used to evaluate the corrections required to extract the flavor diagonal 33 and 88 resonance contributions from the full resonance EM contributions to the EM spectral function. A large (~15%) correction is found in the case of the omega contribution to the isoscalar spectral function. The implications of these results for sum rules based on the isovector-isoscalar spectral difference are considered.

hep-ph↗

arXiv1996

Electromagnetic Corrections to Pi Pi Scattering: Some Lessons for the Implementation of Meson Exchange Models

The leading non-Coulombic electromagnetic contributions to pi pi s-wave scattering lengths are computed in Chiral Perturbation Theory. It is shown that these corrections are zeroth order in the chiral expansion and associated with electromagnetic contact terms in the effective Lagrangian, i.e. that they do not involve explicit photon fields in the low-energy effective theory. It is pointed out that, if one followed the standard meson-exchange-model ansatz for removing electromagnetic effects, i.e. of subtracting contributions associated with explicit photon exchange and radiative corrections, as determined by the photon coupling vertices of the effective hadronic theory, one would completely miss these contributions and arrive at the erroneous conclusion that the strong interactions exhibited very large isospin breaking in pi pi scattering. Implications for electromagnetic "subtraction" procedures in other hadronic systems and the utility of the effective Lagrangian method for avoiding such errors are obvious.

nucl-th↗

arXiv1996

Some New Results on the H Dibaryon in the Quark Cluster Model

The H dibaryon channel, (I=0,J=0,S=-2), is revisited in the non-relativistic quark cluster model (NRQCM) using a basis extended beyond the usual set of baryon cluster pairs to include an explicit spatially symmetric 6q state, analogous in structure to the MIT bag model H. We find that the binding predicted using the two-baryon basis alone is significantly deepened by the addition of the additional 6q configuration. The NRQCM thus appears, contrary to earlier findings, to be incompatible with the experimental information available for this channel.

nucl-th↗