Analytical dispersive construction of eta > 3 pi amplitude: First order in isospin breaking
(2011) In Physical Review D (Particles, Fields, Gravitation and Cosmology) 84(11). Abstract
 Because of their small electromagnetic corrections, the isospinbreaking decays n > 3 pi seem to be good candidates for extracting isospinbreaking parameters similar to(m(d)  m(u)). This task is unfortunately complicated by large chiral corrections and the discrepancy between the experimentally measured values of the Dalitz parameters describing the energy dependence of the amplitudes of these decays and those predicted from chiral perturbation theory. We present two methods based on an analytic dispersive representation that use the information from the NNLO chiral result and the one from the measurement of the charged n > 3 pi decay by KLOE together in a harmonized way in order to determine the value of the quark mass ratio R.... (More)
 Because of their small electromagnetic corrections, the isospinbreaking decays n > 3 pi seem to be good candidates for extracting isospinbreaking parameters similar to(m(d)  m(u)). This task is unfortunately complicated by large chiral corrections and the discrepancy between the experimentally measured values of the Dalitz parameters describing the energy dependence of the amplitudes of these decays and those predicted from chiral perturbation theory. We present two methods based on an analytic dispersive representation that use the information from the NNLO chiral result and the one from the measurement of the charged n > 3 pi decay by KLOE together in a harmonized way in order to determine the value of the quark mass ratio R. Our final result is R = 37.7 +/ 2.2. This value supplemented by values of m(s)/(m) over cap or even (m) over cap and m(s) from other methods (as sumrules or lattice) enables us to obtain further quark mass characteristics. For instance the recent lattice value for m(s)/(m) over cap similar to 27: 5 leads to Q = 23.1 +/ 0.7. We also quote the corresponding values of the current masses m(u) and m(d). (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/2320256
 author
 Kampf, Karol ^{LU} ; Knecht, Marc; Novotny, Jiri and Zdrahal, Martin
 organization
 publishing date
 2011
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Physical Review D (Particles, Fields, Gravitation and Cosmology)
 volume
 84
 issue
 11
 publisher
 American Physical Society
 external identifiers

 wos:000298131100008
 scopus:84855264186
 ISSN
 15502368
 DOI
 10.1103/PhysRevD.84.114015
 language
 English
 LU publication?
 yes
 id
 4043f635ab9741eaa3349f4705b96848 (old id 2320256)
 date added to LUP
 20120206 15:35:38
 date last changed
 20170813 03:08:00
@article{4043f635ab9741eaa3349f4705b96848, abstract = {Because of their small electromagnetic corrections, the isospinbreaking decays n > 3 pi seem to be good candidates for extracting isospinbreaking parameters similar to(m(d)  m(u)). This task is unfortunately complicated by large chiral corrections and the discrepancy between the experimentally measured values of the Dalitz parameters describing the energy dependence of the amplitudes of these decays and those predicted from chiral perturbation theory. We present two methods based on an analytic dispersive representation that use the information from the NNLO chiral result and the one from the measurement of the charged n > 3 pi decay by KLOE together in a harmonized way in order to determine the value of the quark mass ratio R. Our final result is R = 37.7 +/ 2.2. This value supplemented by values of m(s)/(m) over cap or even (m) over cap and m(s) from other methods (as sumrules or lattice) enables us to obtain further quark mass characteristics. For instance the recent lattice value for m(s)/(m) over cap similar to 27: 5 leads to Q = 23.1 +/ 0.7. We also quote the corresponding values of the current masses m(u) and m(d).}, articleno = {114015}, author = {Kampf, Karol and Knecht, Marc and Novotny, Jiri and Zdrahal, Martin}, issn = {15502368}, language = {eng}, number = {11}, publisher = {American Physical Society}, series = {Physical Review D (Particles, Fields, Gravitation and Cosmology)}, title = {Analytical dispersive construction of eta > 3 pi amplitude: First order in isospin breaking}, url = {http://dx.doi.org/10.1103/PhysRevD.84.114015}, volume = {84}, year = {2011}, }