A new analysis of 
                
                  
                
                $\pi K$
               scattering from Roy and Steiner type equations

Büttiker, P.; Descotes-Genon, S.; Moussallam, B.

doi:10.1140/epjc/s2004-01591-1

Cited by 258 publications

(387 citation statements)

References 77 publications

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“…Let us now remark that the two-loop leading log contributions, which are numerically dominant at low energies, do not depend on the r i constants, but just on the one-loop l Table I, where we quote the LECs obtained in several works [20][21][22][23]. Let us remark that error bars in the l r 1 ; .…”

Section: B Two-loop Chpt and The Low-energy Constantsmentioning

confidence: 88%

Chiral extrapolation of light resonances from one and two-loop unitarized chiral perturbation theory versus lattice results

2010

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We study the pion mass dependence of the ð770Þ and f 0 ð600Þ masses and widths from one and twoloop unitarized chiral perturbation theory (ChPT). We show the consistency of one-loop calculations with lattice results for the M , f , and the isospin-2 scattering length a 20 . Then, we develop and apply the modified inverse amplitude method formalism for two-loop ChPT. In contrast to the f 0 ð600Þ, the ð770Þ is rather sensitive to the two-loop ChPT parameters-our main source of systematic uncertainty. We thus provide two-loop unitarized fits constrained by lattice information on M , f , by the q " q leading 1=N c behavior of the and by existing estimates of low-energy constants. These fits yield relatively stable predictions up to m ' 300-350 MeV for the coupling and width as well as for all the f 0 ð600Þ parameters. We confirm, to two loops, the weak m dependence of the coupling and the KawarabayashiSuzuki-Riazuddin-Fayyazuddin relation, and the existence of two virtual f 0 ð600Þ poles for sufficiently high m . At two loops one of these poles becomes a bound state when m is somewhat larger than 300 MeV.

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Section: B Two-loop Chpt and The Low-energy Constantsmentioning

confidence: 88%

Chiral extrapolation of light resonances from one and two-loop unitarized chiral perturbation theory versus lattice results

2010

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“…The two-flavour condensate has been measured through ππ rescattering in various low-energy processes, such as K ℓ4 [10][11][12][13][14][15][16] and K → 3π decays [17][18][19][20][21]. But this condensate can be significantly higher than the three-flavour quark condensate in the presence of large contributions from sea-quark ss pairs to the chiral structure of QCD vacuum [22], a scenario supported by several phenomenological analyses (πK scattering [23,24], scalar form factors [25][26][27][28], lattice data [9,29]). …”

Section: Jhep12(2012)080mentioning

confidence: 99%

Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility

Bernard¹,

Descotes-Genon²,

Toucas³

2012

J. High Energ. Phys.

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The first two non-trivial moments of the distribution of the topological charge (or gluonic winding number), i.e., the topological susceptibility and the fourth cumulant, can be computed in lattice QCD simulations and exploited to constrain the pattern of chiral symmetry breaking. We compute these two topological observables at next-to-leading order in three-flavour Chiral Perturbation Theory, and we discuss the role played by the η propagation in these expressions. For hierarchies of light-quark masses close to the physical situation, we show that the fourth cumulant has a much better sensitivity than the topological susceptibility to the three-flavour quark condensate, and thus constitutes a relevant tool to determine the pattern of chiral symmetry breaking in the limit of three massless flavours. We provide the complete formulae for the two topological observables in the isospin limit, and predict their values in the particular setting of the recent analysis of the RBC/UKQCD collaboration. We show that a combination of the topological susceptibility and the fourth cumulant is able to pin down the three flavour condensate in a particularly clean way in the case of three degenerate quarks.

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“…Note that in order to reach the controversial K * 0 (800) or κ−meson pole, whose situation in the RPP is similar to that of the σ meson before 2012, the Roy-Steiner formal-ism should be based on hyperbolic dispersion relations for a larger applicability region. Actually, the best determination so far of the K * 0 (800) meson comes from a solution of Roy-Steiner equations for πK scattering in the elastic region [15] derived from fixed-t dispersion relations and a posteriori analytic extension based on Roy-Steiner equations from hyperbolic relations [16]. Nevertheless the RPP still lists the K * 0 (800) under "needs confirmation", and we have been encouraged to apply to πK a similar approach to that of the Madrid-Krakow group for ππ and the f 0 (500) meson.…”

Section: Dispersive Analyses Of πK Scatteringmentioning

confidence: 99%