437 research outputs found
Radiative Ke3 decays revisited
Motivated by recent experimental results and ongoing measurements, we review
the chiral perturbation theory prediction for radiative Ke3 decays (neutral
kaons). Special emphasis is given on the stability of the inner
bremsstrahlung-dominated relative branching ratio vs. the Ke3 form factors, and
on the separation of the structure dependent amplitude in differential
distributions over the phase space. For the structure dependent terms, an
assessment of the order p^6 corrections is given. In particular, a full
next-to-leading order calculation of the axial component is performed. The
experimental analysis of the photon energy spectrum is discussed, and other
potentially useful distributions are introduced.Comment: Version published in Eur.Phys.J.C.: 23 pages (LaTeX), 10 figures.
Minor changes in text, typos removed, references updated, Springer style file
use
Scattering in Three Flavour ChPT
We present the scattering lengths for the processes in the three
flavour Chiral Perturbation Theory (ChPT) framework at next-to-next-to-leading
order (NNLO). The calculation has been performed analytically but we only
include analytical results for the dependence on the low-energy constants
(LECs) at NNLO due to the size of the expressions. These results, together with
resonance estimates of the NNLO LECs are used to obtain constraints on the
Zweig rule suppressed LECs at NLO, and . Contrary to
expectations from NLO order calculations we find them to be compatible with
zero. We do a preliminary study of combining the results from
scattering, scattering and the scalar form-factors and find only a
marginal compatibility with all experimental/dispersive input data.Comment: 23 page
An upper bound on the Kaon B-parameter and Re(epsilon_K)
New precise data in B physics and theoretical developments in K physics lead
us to reconsider the weak K^0-\bar{K}^0 transition from a large-N_c viewpoint,
N_c being the number of colors. In this framework, we infer an upper limit on
\hat{B}_K and the Kaon indirect CP violation.Comment: 11 pages, 4 figures. V2 : Minor corrections, final version accepted
for publication in JHE
Resumming QCD vacuum fluctuations in three-flavour Chiral Perturbation Theory
Due to its light mass of order Lambda_QCD, the strange quark can play a
special role in Chiral Symmetry Breaking (ChSB): differences in the pattern of
ChSB in the limits N_f=2 (m_u,m_d->0, m_s physical) and N_f=3 (m_u,m_d,m_s->0)
may arise due to vacuum fluctuations of s-bar s pairs, related to the violation
of the Zweig rule in the scalar sector and encoded in particular in the O(p^4)
low-energy constants L_4 and L_6. In case of large fluctuations, we show that
the customary treatment of SU(3)xSU(3) chiral expansions generate instabilities
upsetting their convergence. We develop a systematic program to cure these
instabilities by resumming nonperturbatively vacuum fluctuations of s-bar s
pairs, in order to extract information about ChSB from experimental
observations even in the presence of large fluctuations. We advocate a Bayesian
framework for treating the uncertainties due to the higher orders. As an
application, we present a three-flavour analysis of the low-energy pi-pi
scattering and show that the recent experimental data imply a lower bound on
the quark mass ratio 2m_s/(m_u+m_d) > 14 at 95 % confidence level. We outline
how additional information may be incorporated to further constrain the pattern
of ChSB in the N_f=3 chiral limit.Comment: 58 pages, 8 figure
Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory
We introduce photons in Partially Quenched Chiral Perturbation Theory and
calculate the resulting electromagnetic loop-corrections at NLO for the charged
meson masses and decay constants. We also present a numerical analysis to
indicate the size of the different corrections. We show that several
phenomenologically relevant quantities can be calculated consistently with
photons which couple only to the valence quarks, allowing the use of gluon
configurations produced without dynamical photons.Comment: 11 page
K -> 3 pi Final State Interactions at NLO in CHPT and Cabibbo's Proposal to Measure a_0-a_2
We present the analytical results for the K -> 3 pi final state interactions
at next-to-leading order (NLO) in CHPT. We also study the recent Cabibbo's
proposal to measure the pi-pi scattering lenghts combination a_0-a_2 from the
cusp effect in the pi^0-pi^0 energy spectrum at threshold for K^+ -> pi^0 pi^0
pi^+ and K_L -> pi^0 pi^0 pi^0$, and give the relevant formulas to describe it
at NLO. For that, we use the NLO CHPT expression to fit the real part of K -> 3
pi to data while the pi-pi scattering lenghts are treated non-perturbatively.
Using them, we make a quantitative estimate of the theoretical uncertaintity of
the a_0-a_2 determination at NLO in our approach and obtain that it is not
smaller than 5 % if added quadratically and 7 % if linearly for K^+ -> pi^0
pi^0 pi^+. One gets similar theoretical uncertainties if the neutral K_L ->
pi^0 pi^0 pi^0 decay data below threshold are used instead. For this decay,
there are very large theoretical uncertainties above threshold due to
cancellations and data above threshold cannot be used to get the scattering
lenghts. All the numbers we present are in the isospin limit apart of two-pion
phase space factors which are physical. We compare our results for the cusp
effect with Cabibbo and Isidori's results and discuss the differences and
agreements.
We also comment on the apperance of the singularity at the K -> 3 pi
pseudo-threshold s=(m_K-m_pi)^2 in the discontinuity that defines the cusp.Comment: 31 pages, 8 figures. v2=v3 Added the full contributions to the cusp
from the real part of the discontinuity. v4 Improved text. Matches published
versio
Radiative corrections to neutral pion-pair production
We calculate the one-photon loop radiative corrections to the neutral
pion-pair photoproduction process . At leading
order this reaction is governed by the chiral pion-pion interaction. Since the
chiral contact-vertex depends only on the final-state
invariant-mass it factors out of all photon-loop diagrams. We give analytical
expressions for the multiplicative correction factor
arising from eight classes of contributing one-photon loop diagrams. An
electromagnetic counterterm has to be included in order to cancel the
ultraviolet divergences generated by the photon-loops. Infrared finiteness of
the virtual radiative corrections is achieved (in the standard way) by
including soft photon radiation below an energy cut-off . The
radiative corrections to the total cross section vary between and
for center-of-mass energies from threshold up to . The finite part of
the electromagnetic counterterm gives an additional constant contribution of
about , however with a large uncertainty.Comment: 10 pages, 6 figures, submitted to Eur. Phys. J.
Pion pole contribution to hadronic light-by-light scattering and muon anomalous magnetic moment
We derive an analytic result for the pion pole contribution to the
light-by-light scattering correction to the anomalous magnetic moment of the
muon, . Using the vector meson dominance model (VMD) for
the pion transition form factor, we obtain .Comment: 4 pages, revte
Soft-photon corrections in multi-body meson decays
The effects due to soft-photon emission (and the related virtual corrections)
in multi-body decays of B, D, and K mesons are analysed. We present analytic
expressions for the universal O(alpha) correction factors which can be applied
to all multi-body decay modes where a tight soft-photon energy cut in the
decaying-particle rest-frame is applied. All-order resummations valid in the
limit of small and large velocities of the final-state particles are also
discussed. The phenomenological implications of these correction factors in the
distortion of Dalitz-plot distributions of K -> 3 pi decays are briefly
analysed.Comment: 8 pages, 2 figures (v2: minor modifications - published version
- âŠ