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We consider constraints on the momentum fraction of the $K$ and $K^*$ meson carried by the strange quark that follow from exact operator identities, similar to those for the divergence of the quark part of the QCD energy-momentum tensor.…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. M. Braun , A. Lenz

We present a new calculation of the first Gegenbauer moment $a_1^K$ of the kaon light-cone distribution amplitude. This moment is determined by the difference between the average momenta of strange and nonstrange valence quarks in the kaon.…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Khodjamirian , Th. Mannel , M. Melcher

We derive new QCD sum rules for the axial coupling constants by considering two-point correlation functions of the axial-vector currents in a one nucleon state. The QCD sum rules tell us that the axial coupling constants are expressed by…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Nishikawa , S. Saito , Y. Kondo

We use the method of QCD sum rules to investigate the isospin symmetry breaking of K and K* mesons. The electromagnetic effect, difference between up and down current-quark masses and difference between up and down quark condensates are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hua-Xing Chen , Atsushi Hosaka , Shi-Lin Zhu

We use QCD sum rules to determine the difference between moments of the non-singlet structure functions. This combination decouples from the singular behaviour of the structure functions near x=1 as calculated in the quark-gluon basis and…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. Chamoun , G. G. Ross

The difference of vector and axial-vector charged current correlators is analyzed by means of QCD sum rules. The contribution of 10-dimensional 4-quark condensates is calculated and its value is estimated within the framework of…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. N. Zyablyuk

We investigate the $K_1(1270)-K_1(1400)$ mixing caused by the flavor $SU(3)$ symmetry breaking. The mixing angle is expressed by a $K_{1A}\to K_{1B}$ matrix element induced by the operators that breaks flavor $SU(3)$ symmetry. The QCD…

High Energy Physics - Phenomenology · Physics 2023-11-01 Yu-Ji Shi , Jun Zeng , Zhi-Fu Deng

We use QCD sum rules to study the possible existence of $QQ-\bar{u}\bar{d}$ mesons, assumed to be a state with $J^{P}=1^{+}$. For definiteness, we work with a current with an axial heavy diquark and a scalar light antidiquark, at leading…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fernando S. Navarra , Marina Nielsen , Su Houng Lee

Momentum sum rule can be used as an inequality to estimate the lower and upper bounds of the momentum fractions of quarks and gluons in a model of proton valid in a limited \textit{x} range. We compute such bounds in a self-similarity based…

High Energy Physics - Phenomenology · Physics 2013-06-21 Akbari Jahan , D K Choudhury

Due to the SU(3) symmetry breaking effect, the axial-vector kaons $K_1(1270)$ and $K_1(1400)$ are established to be mixtures of two P-wave $K_{1A}\left( {^3{P_1}} \right)$ and $K_{1B}\left( {^1{P_1}} \right)$ states. In QCD sum rules, we…

High Energy Physics - Phenomenology · Physics 2025-01-16 Zheng-Shu Liu , Xu-Liang Chen , Ding-Kun Lian , Ning Li , Wei Chen

We apply the QCD sum rule method to systematically study excited light meson operators and calculate their decay constants. These operators are constructed by explicitly adding one covariant derivative to the quark-antiquark pair. In total,…

High Energy Physics - Phenomenology · Physics 2025-10-07 Wei-Han Tan , Wen-Ying Liu , Hong-Zhou Xi , Hua-Xing Chen

A new technique based on H\"older's integral inequality is applied to QCD sum-rules to provide fundamental constraints on the sum-rule parameters. These constraints must be satisfied if the sum-rules are to consistently describe integrated…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Benmerrouche , G. Orlandini , T. G. Steele

We present a QCD sum-rule determination of the heavy-quark kinetic energy inside a heavy meson, $-\lambda_1/2 m_Q$, which is consistent with the field-theory analog of the virial theorem. We obtain $-\lambda_1\approx (0.10\pm…

High Energy Physics - Phenomenology · Physics 2009-10-28 Matthias Neubert

We present an improved calculation of the $B\to K$ transition form factor with chiral current in the QCD light-cone sum rule (LCSR) approach. Under the present approach, the most uncertain twist-3 contribution is eliminated. And the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xing-Gang Wu , Tao Huang , Zhen-Yun Fang

We study the higher order corrections of quark masses to the Gell-Mann$-$Oakes$-$Renner (GOR) relation by constructing QCD sum rules exclusively for pseudoscalar mesons from the axial-vector correlation function, $i \int d^4x~ e^{ip\cdot x}…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hungchong Kim

We use QCD sum rules to determine directly the leading-twist non-singlet operator matrix elements based on calculations of three-point correlator functions in configuration space. We find a different result from that obtained by integrating…

High Energy Physics - Phenomenology · Physics 2009-10-30 N. Chamoun

We review the status of the leptonic decay constants f_K and f_K^{\parallel,\perp} of the K and K*, respectively, and the SU(3) breaking quantities a_1(K) and a_{1}^{\parallel,\perp}(K*), the first Gegenbauer-moments of the leading-twist…

High Energy Physics - Phenomenology · Physics 2008-11-26 Patricia Ball , Roman Zwicky

We construct the quark-antiquark chiral odd distribution amplitudes including twist-four mass contributions for tensor mesons. We also give quark-antiquark-gluon distribution amplitudes, where we calculate the input parameters with QCD sum…

High Energy Physics - Phenomenology · Physics 2018-07-11 Maximilian Emmerich , Matthias Strohmaier , Andreas Schäfer

Using the framework of QCD sum rules we predict the twist-3 contribution to the second moment of the polarized nucleon structure function $g_2(x)$. As the relevant local operator depends explicitely on the gluon field, we employ a recently…

High Energy Physics - Phenomenology · Physics 2011-08-11 E. Stein , P. Gornicki , L. Mankiewicz , A. Schaefer , W. Greiner

We analyze the higher-twist effects and the SU(3)-flavour symmetry breaking in the correlation functions used to calculate form factors of pseudoscalar mesons in the QCD light-cone sum rule approach. It is shown that the Ward identities for…

High Energy Physics - Phenomenology · Physics 2011-09-13 Johan Bijnens , Alexander Khodjamirian
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