520 research outputs found
Isospin breaking in the phases of the Ke4 form factors
Isospin breaking in the Kl4 form factors induced by the difference between
charged and neutral pion masses is studied. Starting from suitably subtracted
dispersion representations, the form factors are constructed in an iterative
way up to two loops in the low-energy expansion by implementing analyticity,
crossing, and unitarity due to two-meson intermediate states. Analytical
expressions for the phases of the two-loop form factors of the K\pm -> pi^+
pi^- e^\pm nu_e channel are given, allowing one to connect the difference of
form-factor phase shifts measured experimentally (out of the isospin limit) and
the difference of S- and P-wave pi-pi phase shifts studied theoretically (in
the isospin limit). The isospin-breaking correction consists of the sum of a
universal part, involving only pi-pi rescattering, and a process-dependent
contribution, involving the form factors in the coupled channels. The
dependence on the two S-wave scattering lengths a_0^0 and a_0^2 in the isospin
limit is worked out in a general way, in contrast to previous analyses based on
one-loop chiral perturbation theory. The latter is used only to assess the
subtraction constants involved in the dispersive approach. The two-loop
universal and process-dependent contributions are estimated and cancel
partially to yield an isospin-breaking correction close to the one-loop case.
The recent results on the phases of K^\pm -> pi^+ pi^- e^\pm nu_e form factors
obtained by the NA48/2 collaboration at the CERN SPS are reanalysed including
this isospin-breaking correction to extract values for the scattering lengths
a_0^0 and a_0^2, as well as for low-energy constants and order parameters of
two-flavour ChPT.Comment: 48 pages, 7 figure
Exploring B_{d,s}-> KK decays through flavour symmetries and QCD-factorisation
We present a new analysis of B_{d,s}->KK modes within the SM, relating them
in a controlled way through SU(3)-flavour symmetry and QCD-improved
factorisation. We propose a set of sum rules for B_{d,s}-> K^0{\bar K}^0
observables. We determine B_s-> KK branching ratios and CP-asymmetries as
functions of A_{dir}(B_d-> K^0{\bar K}^0), pointing out a conflict between
BR(B_s-> K+K-) in the SM and data. Finally, we predict the amount of U-spin
breaking between B_d-> pi+pi- and B_s-> K+K-.Comment: 4 pages, 2 figures. Enlarged discussion on 1/mb contribution
PoN-S : a systematic approach for applying the Physics of Notation (PoN)
Visual Modeling Languages (VMLs) are important instruments of communication between modelers and stakeholders. Thus, it is important to provide guidelines for designing VMLs. The most widespread approach for analyzing and designing concrete syntaxes for VMLs is the so-called Physics of Notation (PoN). PoN has been successfully applied in the analysis of several VMLs. However, despite its popularity, the application of PoN principles for designing VMLs has been limited. This paper presents a systematic approach for applying PoN in the design of the concrete syntax of VMLs. We propose here a design process establishing activities to be performed, their connection to PoN principles, as well as criteria for grouping PoN principles that guide this process. Moreover, we present a case study in which a visual notation for representing Ontology Pattern Languages is designed
Integrating out strange quarks in ChPT
We study three flavour chiral perturbation theory in a limit where the
strange quark mass is much larger than the external momenta and the up and down
quark masses, and where the external fields are those of two-flavour chiral
perturbation theory. In this case, the theory reduces to the one of SU(2)_L x
SU(2)_R. Through this reduction, one can work out the strange quark mass
dependence of the LECs in the two-flavour case. We present the pertinent
relations at two-loop order for F,B and l_i.Comment: 14 pages, 3 figures, References added. Due to a typo in a form
program, we missed a finite, scale independent part in l_7. Is now included.
Version to appear in Phys.Lett.
Convergence properties of decays in chiral perturbation theory
Theoretical efforts to describe and explain the decays reach
far back in time. Even today, the convergence of the decay widths and some of
the Dalitz plot parameters seems problematic in low energy QCD. In the
framework of resummed CHPT, we explore the question of compatibility of
experimental data with a reasonable convergence of a carefully defined chiral
series, where NNLO remainders are assumed to be small. By treating the
uncertainties in the higher orders statistically, we numerically generate a
large set of theoretical predictions, which are then confronted with
experimental information. In the case of the decay widths, the experimental
values can be reconstructed for a reasonable range of the free parameters and
thus no tension is observed, in spite of what some of the traditional
calculations suggest. The Dalitz plot parameters and can be described
very well too. When the parameters and are concerned, we find a
mild tension for the whole range of the free parameters, at less than 2
C.L. This can be interpreted in two ways - either some of the higher order
corrections are indeed unexpectedly large or there is a specific configuration
of the remainders, which is, however, not completely improbable. Also, the
distribution of the theoretical uncertainties is found to be significantly
non-gaussian, so the consistency cannot be simply judged by the 1 error
bars.Comment: 57 pages, 5 figure
Nonminimal 331 model for lepton flavor universality violation in b → sll decays
The 331 models constitute an extension of the Standard Model (SM) obtained by enlarging the SM gauge group SU(3)C×SU(2)L×U(1)Y to the group SU(3)C×SU(3)L×U(1)X. We investigate how a nonminimal 331 model may embed lepton flavor universality violating contributions to b→sℓℓ processes without introducing lepton flavor violation, as suggested by the recent LHCb measurements of the ratios RK and RK∗. We discuss the model-independent scenarios of new physics in b→sℓℓ currently favored by the data that could be accommodated by this model and consider a few phenomenological constraints on this model
Two-loop representations of low-energy pion form factors and pi-pi scattering phases in the presence of isospin breaking
Dispersive representations of the pi-pi scattering amplitudes and pion form
factors, valid at two-loop accuracy in the low-energy expansion, are
constructed in the presence of isospin-breaking effects induced by the
difference between the charged and neutral pion masses. Analytical expressions
for the corresponding phases of the scalar and vector pion form factors are
computed. It is shown that each of these phases consists of the sum of a
"universal" part and a form-factor dependent contribution. The first one is
entirely determined in terms of the pi-pi scattering amplitudes alone, and
reduces to the phase satisfying Watson's theorem in the isospin limit. The
second one can be sizeable, although it vanishes in the same limit. The
dependence of these isospin corrections with respect to the parameters of the
subthreshold expansion of the pi-pi amplitude is studied, and an equivalent
representation in terms of the S-wave scattering lengths is also briefly
presented and discussed. In addition, partially analytical expressions for the
two-loop form factors and pi-pi scattering amplitudes in the presence of
isospin breaking are provided.Comment: 57 pages, 12 figure
Implications from clean observables for the binned analysis of B -> K*ll at large recoil
We perform a frequentist analysis of q^2-dependent B-> K*(->Kpi)ll angular
observables at large recoil, aiming at bridging the gap between current
theoretical analyses and the actual experimental measurements. We focus on the
most appropriate set of observables to measure and on the role of the
q^2-binning. We highlight the importance of the observables P_i exhibiting a
limited sensitivity to soft form factors for the search for New Physics
contributions. We compute predictions for these binned observables in the
Standard Model, and we compare them with their experimental determination
extracted from recent LHCb data. Analyzing b->s and b->sll transitions within
four different New Physics scenarios, we identify several New Physics benchmark
points which can be discriminated through the measurement of P_i observables
with a fine q^2-binning. We emphasise the importance (and risks) of using
observables with (un)suppressed dependence on soft form factors for the search
of New Physics, which we illustrate by the different size of hadronic
uncertainties attached to two related observables (P_1 and S_3). We illustrate
how the q^2-dependent angular observables measured in several bins can help to
unravel New Physics contributions to B-> K*(->Kpi)ll, and show the
extraordinary constraining power that the clean observables will have in the
near future. We provide semi-numerical expressions for these observables as
functions of the relevant Wilson coefficients at the low scale.Comment: 50 pages, 21 figures. Improved form factor analysis, conclusions
unchanged. Plots with full resolution. Version published in JHE
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