scholarly journals QUARK MASS RATIOS AND MASS SPLIT OF π0-π±INChPTWITH THE DIFFERENCE OF QUARK CONDENSATES CONSIDERED

2008 ◽  
Vol 23 (22) ◽  
pp. 3493-3507
Author(s):  
XIAOYA LI ◽  
BIN WANG ◽  
XIAOZHAO CHEN ◽  
XIAOFU LÜ
Keyword(s):  
Chiral Symmetry ◽  
Pseudoscalar Meson ◽  
Quark Mass ◽  
Quark Condensate ◽  
Breaking Effect ◽  
Goldstone Bosons ◽  
Effective Lagrangian ◽  
Pseudoscalar Mesons ◽  
Mass Ratios ◽  
The Difference

The chiral effective Lagrangian for pseudoscalar meson nonet including eight Goldstone bosons and a SU (3) singlet η0is constructed with the breaking effect of chiral symmetry in both quark condensate and quark mass differences taken into account. The [Formula: see text] mixing is discussed. By solving the mass equations of pseudoscalar mesons, the quark mass ratios are obtained and the quark condensate ratios are constrained in ranges. The mass split of π0-π±is discussed.

scholarly journals Alternative Scheme of Spontaneous Chiral Symmetry Breaking

1986 ◽  
Vol 39 (3) ◽  
pp. 347 ◽  
Author(s):  
GA Christos
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Alternative Scheme ◽  
Goldstone Bosons ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Mass Ratios ◽  
Usual Scheme

We develop an alternative scheme of spontaneous chiral symmetry breaking which is characterized by four-quark condensates instead of (7jq),*O. In this scheme the Nambu-Goldstone bosons acquire a mass squared - m~uark' in comparison with mquark in the usual scheme. The quark mass ratios and the parameters of the scheme are determined by an application to the pseudoscalar nonet spectrum (including 'lT0_'Yj_'Yj' mixing). The decays Iji -+('lT0 , 'Yj, 'Yj}y and Iji' -+ 1ji('lT0 , 'Yj) are also considered. The results do not promote the alternative scheme.

scholarly journals HEAVISIDE TRANSFORM WITH RESPECT TO THE MASS IN QCD

1996 ◽  
Vol 11 (12) ◽  
pp. 1001-1009 ◽  
Author(s):  
HIROFUMI YAMADA
Keyword(s):  
Symmetry Breaking ◽  
Momentum Transfer ◽  
Chiral Symmetry ◽  
Quark Mass ◽  
Chiral Symmetry Breaking ◽  
Quark Condensate ◽  
Large Momentum Transfer ◽  
Large Momentum ◽  
Dominant Effect

We propose the use of Heaviside transform with respect to the quark mass to investigate dynamical aspects of QCD. We show that at large momentum transfer the transformed propagator of massive quarks behaves softly and thus the dominant effect of explicit chiral symmetry breaking disappears through Heaviside transform. This suggests that it is more convenient to do massless approximation in the transformed quantity than in the original one. As an example of explicit approximation, we estimate the massless value of the quark condensate.

Quark mass ratios due to goldstone pseudoscalar meson pairs

1979 ◽  
Vol 85 (1) ◽  
pp. 85-86
Author(s):  
Riazuddin ◽  
Fayyazuddin
Keyword(s):  
Pseudoscalar Meson ◽  
Quark Mass ◽  
Mass Ratios

Corrections to the extraction of light quark mass ratios from pseudoscalar meson splittings

1990 ◽  
Vol 234 (1-2) ◽  
pp. 158-162 ◽  
Author(s):  
Kim Maltman ◽  
T. Goldman ◽  
G.L. Stephenson
Keyword(s):  
Pseudoscalar Meson ◽  
Quark Mass ◽  
Light Quark ◽  
Mass Ratios ◽  
Light Quark Mass

scholarly journals Simplified Bethe-Salpeter Description of Basic Pseudoscalar-Meson Features

2018 ◽  
Vol 192 ◽  
pp. 00040
Author(s):  
Wolfgang Lucha
Keyword(s):  
Pseudoscalar Meson ◽  
Goldstone Bosons ◽  
Pseudoscalar Mesons ◽  
Type Relation

We assess a description of pseudoscalar mesons as pseudo-Goldstone bosons by its compatibility with some Gell-Mann-Oakes-Renner-type relation.

scholarly journals Inverse moment of the Bs-meson distribution amplitude from QCD sum rule

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Alexander Khodjamirian ◽  
Rusa Mandal ◽  
Thomas Mannel
Keyword(s):  
Light Cone ◽  
Quark Mass ◽  
Strange Quark ◽  
Quark Condensate ◽  
Distribution Amplitude ◽  
Symmetry Violation ◽  
Sum Rule ◽  
Strange Quark Mass ◽  
The Difference ◽  
Inverse Moment

Abstract We derive a QCD sum rule for the inverse moment of the Bs-meson light-cone distribution amplitude in HQET. Within this method, the SU(3)f l symmetry violation is traced to the strange quark mass and to the difference between strange and nonstrange quark condensate densities. We predict the ratio of inverse moments λBs/λB = 1.19 ± 0.14 which can be used in various applications of these distribution amplitudes to the analyses of Bs-meson decays, provided an accurate value of λB is available from other sources, such as the B → ℓνℓγ decay.

EFFECTIVE LAGRANGIAN FOR PSEUDOSCALAR MESONS FROM LINEAR SU(3)×SU(3) SIGMA MODEL WITH VECTOR AND AXIAL MESONS

1989 ◽  
Vol 04 (19) ◽  
pp. 1815-1825
Author(s):  
I.V. ANDREEV ◽  
M.M. TSYPIN
Keyword(s):  
Fourth Order ◽  
Pseudoscalar Meson ◽  
Sigma Model ◽  
Scalar Meson ◽  
Linear Sigma Model ◽  
Effective Lagrangian ◽  
Pseudoscalar Mesons ◽  
Meson Octet

The effective Lagrangian for pseudoscalar meson octet including terms up to fourth order in momenta and masses is derived from a linear sigma model with vector and axial mesons. The mass of scalar meson nonet 720±75 MeV ensures a good fit of coefficients in effective Lagrangian with values derived from experiment.

scholarly journals Determination of the temperature dependence of the up- and down-quark masses in QCD

2016 ◽  
Vol 31 (36) ◽  
pp. 1630042 ◽  
Author(s):  
C. A. Dominguez ◽  
L. A. Hernandez
Keyword(s):  
Critical Temperature ◽  
Temperature Dependence ◽  
Chiral Symmetry ◽  
Quark Mass ◽  
Pion Mass ◽  
Finite Energy ◽  
Quark Condensate ◽  
Thermal Dependence ◽  
Quark Masses ◽  
Down Quark

The temperature dependence of the sum of the QCD up- and down-quark masses, (mu[Formula: see text]+[Formula: see text]md) and the pion decay constant, f[Formula: see text], are determined from two thermal finite energy QCD sum rules for the pseudoscalar-current correlator. This quark mass remains mostly constant for temperatures well below the critical temperature for deconfinement/chiral-symmetry restoration. As this critical temperature is approached, the quark mass increases sharply with increasing temperature. This increase is far more pronounced if the temperature dependence of the pion mass (determined independently from other methods) is taken into account. The behavior of f[Formula: see text](T) is consistent with the expectation from chiral symmetry, i.e. that it should follow the thermal dependence of the quark condensate, independently of the quark mass.

scholarly journals The low-energy effective theory of axions and ALPs

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Martin Bauer ◽  
Matthias Neubert ◽  
Sophie Renner ◽  
Marvin Schnubel ◽  
Andrea Thamm
Keyword(s):  
High Energy ◽  
New Physics ◽  
Mass Scale ◽  
Low Energy ◽  
Effective Theory ◽  
Loop Order ◽  
Flavor Changing ◽  
Effective Lagrangian ◽  
Anomalous Dimensions ◽  
Pseudoscalar Mesons

Abstract Axions and axion-like particles (ALPs) are well-motivated low-energy relics of high-energy extensions of the Standard Model, which interact with the known particles through higher-dimensional operators suppressed by the mass scale Λ of the new-physics sector. Starting from the most general dimension-5 interactions, we discuss in detail the evolution of the ALP couplings from the new-physics scale to energies at and below the scale of electroweak symmetry breaking. We derive the relevant anomalous dimensions at two-loop order in gauge couplings and one-loop order in Yukawa interactions, carefully considering the treatment of a redundant operator involving an ALP coupling to the Higgs current. We account for one-loop (and partially two-loop) matching contributions at the weak scale, including in particular flavor-changing effects. The relations between different equivalent forms of the effective Lagrangian are discussed in detail. We also construct the effective chiral Lagrangian for an ALP interacting with photons and light pseudoscalar mesons, pointing out important differences with the corresponding Lagrangian for the QCD axion.

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