Effective field theories for heavy quarkonium at finite temperature
Antonio Vairo
讨论了有限温度下夸克偶素有效场论的最新进展。
We discuss the recent development of effective field theories for quarkonium at finite temperature.
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Understanding Heavy Quarkonium Systems in Perturbative QCD
本文综述了基于微扰QCD的束缚态理论中重夸克偶素光谱的最新理论进展。得到了重夸克偶素系统的新的微观图象。
Scaling Properties of $S$-wave Level Density for Heavy Quarkonium from QCD Sum Rules
在重夸克偶素的$S$波能级的QCD求和规则的框架下，导出了一个表达式，它将夸克偶素态的能量密度与重夸克偶素物理中的普适特性联系起来，例如重夸克$Q$和介子$(Q\bar q)$的质量之差以及低于$(Q\bar Q) \to (Q\bar q) + (\bar Q q)$衰变阈值的重夸克偶素能级的数目。
Scaling Relations in Phenomenology of QCD Sum Rules for Heavy Quarkonium
在重夸克偶素$S$波能级的QCD求和规则的框架下，导出了轻子常数、夸克偶素态能量密度和重夸克偶素物理中的普适特性（如重夸克$Q$和介子$(Q\bar q)$质量之差以及低于$(Q\bar Q) \to (Q\bar q) + (\bar Q q)$衰变阈值的重夸克偶素能级数）之间的关系式.
Open Problems in Heavy Quarkonium Physics
本文综述了在夸克偶素工作组的活动启发下，重夸克偶素物理（光谱学、衰变和产生）的一些新进展和一些个人选择的开放问题。
Potential models, sum rules, color singlet model versus NREFT in Heavy Quarkonium
我简要回顾了非相对论性有效场论如何解决重夸克偶素物理中的老难题和未解决的问题。
We report on a recent QCD based research on hybrid mesons containing $c\bar c$ or $b\bar b$ quarks. We present results for the spectrum, the decay widths to heavy quarkonium, and the role of mixing with the latter. We point out that mixing with heavy quarkonium provides a potentially large source of spin symmetry breaking. We identify candidates to hybrid mesons among the so called XYZ states in the charmonium and bottomonium spectrum.
The value of quarkonium wave function at the origin is an important quantity while studying many physical problems concerning a heavy quarkonium. This is because that it is widely used to evaluate the production and decay amplitudes of the heavy quarkonium within the effective filed theory framework, e.g., the non-relativistic QCD (NRQCD). In this paper, the value of the Schr${\rm \ddot{o}}$dinger radial wave function or its first nonvanishing derivative at zero quark-antiquark separation, i.e., $|(|c\bar{c})[n]\rangle$-, $|(|b\bar{c})[n]\rangle$-, and $|(b\bar{b})[n]\rangle$-quarkonium, have …
Lambda-bar from QCD sum rules for heavy quarkonium
利用重夸克偶素QCD求和规则的一个特殊方案，在逆重夸克质量的领先近似下，得到了重介子和重夸克质量差的估计值$\bar Λ= 0.59\pm 0.02$ GeV.
A calculation of the melting temperatures of heavy quarkonium states with the holographic potential was introduced in a previous work. In this paper, we consider the holographic potential at sub-leading order, which permits finite coupling corrections to be taken into account. It is found that this correction lowers the dissociation temperatures of heavy quarkonium.
By employing the differential equations, we compute analytically the elliptic sectors of two-loop master integrals appearing in the NNLO QCD corrections to CP-even heavy quarkonium exclusive production and decays, which turns out to be the last and toughest part in the relevant calculation. The integrals are found can be expressed as Goncharov polylogarithms and iterative integrals over elliptic functions. The master integrals may be applied to some other NNLO QCD calculations about heavy quarkonium exclusive production, like $γ^*γ\rightarrow Q\bar{Q}$, $e^+e^-\rightarrow γ+ Q\bar{Q}$,~and~$H/…
QCD Factorization for heavy quarkonium production at collider energies
在这次演讲中，我简要地回顾了在对撞机能量下重夸克偶素产生的几种模型，并讨论了这些产生模型的QCD因子化的现状。
QCD Effective Field Theories for Heavy Quarkonium
QCD非相对论性有效场论（NREFT）是描述重夸克偶素性质的现代最合适的理论框架。在这里，我总结了一些相关的概念和一些有趣的物理应用（频谱，衰变，生产）的NREFT。
Masses of $nS$-wave Heavy Quarkonium Levels from QCD Sum Rules
利用QCD求和规则的一个特定方案，导出了重夸克偶素$nS$能级质量差的一个普适公式。这个关系不依赖于组成夸克偶素的重夸克的味道，并且它与$ψ$ -和$Υ$ -族的实验质量值非常一致。
Heavy Quarkonium Inclusive Decays: Theoretical Status and Perspectives
本文综述了在QCD非相对论有效场论框架下计算重夸克偶素衰变宽度的最新进展和存在的问题。
Heavy Quarkonium and QCD Non Relativistic Effective field Theories
QCD非相对论性有效场论（NREFT）是描述重夸克偶素性质的现代最合适的理论框架。在这次演讲中，我总结了一些相关的概念和一些有趣的物理应用NREFT。
FDCHQHP is a Fortran package to calculate the transverse momentum (p_t) distribution of yield and polarization for heavy quarkonium hadroproduction at next-to-leading-order (NLO) based on non-relativistic QCD(NRQCD) framework. It contains the complete color-singlet and color-octet intermediate states in present theoretical level, and is available to calculate different polarization parameters in different frames. As the LHC running now and in the future, it supplies a very useful tool to obtain theoretical prediction on the heavy quarkonium hadroproduction.
Recent Developments In Heavy Quarkonium Physics
本文综述了重夸克偶素物理的最新进展，包括：（i）非相对论性QCD（NRQCD），（ii）色八重态$(Q\bar{Q})$组分在衰变和物理重夸克偶素态产生中的重要性，（iii）NRQCD因子分解的局限性，（iv）衰变$Υ(3S) \to Υ(1S) ππ$中$ππ$谱的双峰。
The Heavy Quarkonium Spectrum at Order $mα_s^5 \ln α_s$
我们计算了NRQCD的次-首阶修正的完整的首对数项。作为一个副产品，我们得到了重夸克偶素谱中$O(mα_s^5)$处的主要对数。当$Λ_{QCD} \ll mα_s^2$时，这些主要的记录给出了对重夸克偶素谱的完全的$O(mα_s^5 \ln α_s)$修正。
We report on recent theory progress in understanding the production of heavy quarkonium in heavy-ion collisions based on the in-medium heavy-quark potential extracted from lattice QCD simulations. On the one hand, the proper in-medium potential allows us to study the spectral properties of heavy quarkonium in thermal equilibrium, from which we estimate the $ψ^\prime$ to $J/ψ$ ratio in heavy-ion collisions. On the other hand, the potential provides a central ingredient in the description of the real-time evolution of heavy-quarkonium formulated in the open-quantum-systems framework.
Heavy Quarkonium Dynamics
介绍了微扰重夸克偶素物理的最新进展。涵盖了有效的理论NRQCD，pNRQCD和vNRQCD，阈值扩展，重正子的作用，以及底夸克和顶夸克物理的应用。
Heavy quarkonium production in the framework of the nonrelativistic quantum chromodynamics and leading order of the parton Reggeization approach at the Tevatron and LHC Colliders is discussed. The new results, which are reviewed in this report, include the comparison with recent data on chi_{c1,c2} production from ATLAS Collaboration and special discussion of heavy quarkonium polarization issues in the considered framework.
In this paper, we calculate the mass spectra of heavy quarkonium by using matrix Numerov's method to make the predictions of F and G states for further experiments. The method gives a very reasonable result which is in a good agreement with other methods and with recently published theoretical data. From the yielded wave functions we calculate the root mean square radius r_ms and \b{eta} coefficients of heavy quarkonium
Heavy quarkonium decays and transitions in the language of effective field theories
在非相对论有效场论的框架下讨论了重夸克偶素的衰变和跃迁。重点放在匹配过程中的非微扰制度。对磁偶极耦合的一些精确结果进行了讨论。
Based on the factorization formalism of nonrelativistic quantum chromodynamics (NRQCD), we calculate the production cross section for the charmonium and the bottomonium produced by the hard photoproduction processes and fragmentation processes in relativistic heavy ion collisions. It is shown that the existing experimental data on heavy quarkonium production at the Large Hadron Collider (LHC) can be described in the framework of the NRQCD formalism, and the phenomenological values of matrix elements for color-singlet and color-octet components give the main contribution. The numerical results …
Potential Nonrelativistic QCD and Heavy Quarkonium Spectrum in Next-to-Next-to-Next-to-Leading Order
在这个演讲中，我回顾了在非相对论有效理论框架下重夸克偶素谱的三级修正的计算及其在顶夸克阈值产生现象学中的应用。
B_{c} meson and the light-heavy quarkonium spectrum
我们计算的c \bar{b}频谱从第一原理Salpeter方程在前面的文件中获得。为了比较，我们也报道了以前只以图形形式给出的重-轻夸克偶素谱和超精细分离。注意所有结果都是无参数的。
QCD Multipole Expansion and Hadronic Transitions in Heavy Quarkonium Systems
本文综述了QCD多极展开的发展及其在重夸克偶素强子跃迁和某些辐射衰变中的应用。理论预测与更新的实验结果进行了比较。
We explore polarized heavy quarkonium production using the color evaporation model at leading order. We present the polarized to total yield ratio as a function of center of mass energy and rapidity in $p+p$ collisions. At energies far above the $Q \overline Q$ production threshold, we find charmonium and bottomonium production to be longitudinally polarized ($J_z=0$). The quarkonium states are also longitudinally polarized at central rapidity, becoming transversely polarized ($J_z=\pm1$) at the most forward rapidities.
Study of the polarized heavy quarkonium production in recently proposed QCD factorization formalism requires knowledge of a large number of input fragmentation functions (FFs) from a single parton or a heavy quark-antiquark pair to a polarized heavy quarkonium. In this paper, we calculate these FFs at the input scale in terms of nonrelativistic QCD (NRQCD) factorization. We derive all relevant polarized NRQCD long-distance matrix elements based symmetries and propose a self-consistent scheme to define them in arbitrary $d$ dimensions. We then calculate polarized input FFs contributed from all …
Scaling Relation for Leptonic Constants\\ of Higher Excitations in Heavy Quarkonium
利用QCD求和规则的一个特殊方案，导出了不依赖于夸克偶素含量的$nS$波重夸克偶素（即$f^2_{n_1}/f^2_{n_2}= n_2/n_1$）轻子常数的关系式，它与$ψ$ -和$Υ$ -族的常数实验值符合得很好.
Two-loop $O(ε)$ term of $1/(mr^2)$ heavy quarkonium potential
本文应用两圈重夸克偶素哈密顿量计算了 $1/(mr^2)$ 势的两圈 $O(ε)$ 项，发现与先前计算在最大非阿贝尔色因子系数上有微小差异，并进行了仔细核查。
Heavy Quarkonium
我回顾了最近的实验结果的重夸克偶素物理。特别是讨论了自旋单重态、光子和强子跃迁、D-态以及尚未解释的窄X（3872）态的发现等方面的新结果。
Heavy Quarkonium and Nonrelativistic Effective Field Theories
我们研究了势NRQCD（pNRQCD）形式的一些一般方面，这是一种处理重夸克偶素系统中超软自由度的有效场论。特别注意的是，它是在目前的精度水平显示其有效的拉格朗日。
A theoretical review of heavy quarkonium inclusive decays
在这篇简短的综述中，我总结了当前重夸克偶素包含衰变的理论知识，重点是在QCD有效场论框架下取得的最新进展。在附录中，我列出了目前已知的6维和8维NRQCD四费米子算符的匹配系数的虚部。
The nuclear suppression of heavy quarkonium production at low transverse momentum in pA collisions in high energy scatterings is investigated in the small-x factorization formalism. A universal suppression is found in the large Nc limit between the two formalisms to describe the heavy quarkonium production: the non-relativistic QCD (NRQCD) and the color-evaporation model (CEM). This provides an important probe to the saturation momentum at small-x in big nucleus. We also comment on the phenomenological applications of our results.
Model Independent Results for Heavy Quarkonium
本文综述了在控制良好的近似下，由QCD导出的重夸克偶素系统的光谱和包含衰变的一些结果。它们基本上遵循这些系统中的尺度层次，这可以有效地利用非相对论有效场论。特别地，我们讨论了在什么条件下非相对论性势模型成为有效的QCD理论。
In this article, we study the radiative transitions among the vector and scalar heavy quarkonium states with the covariant light-front quark model. In calculations, we observe that the radiative decay widths are sensitive to the constituent quark masses and the shape parameters of the wave-functions, and reproduce the experimental data with suitable parameters.
By employing the method of differential equations, we compute the various types of two-loop master integrals involved in CP-even heavy quarkonium exclusive production and decays. All the integrals presented in this paper can be casted into canonical forms and expressed in terms of Goncharov polylogarithms and Harmonic polylogarithms. These master integrals are frequently used in the calculation of NNLO corrections of the heavy quarkonium production processes, as $γ^*γ\rightarrow Q\bar{Q}$, $e^+e^-\rightarrow γ+ Q\bar{Q}$, and $H/Z^0\rightarrow γ+ Q\bar{Q}$, and decay processes. They are also a…
Order-v^4 Corrections to S-wave Quarkonium Decay
我们计算了^1S_0重夸克偶素衰变为双光子和轻强子以及^3S_1重夸克偶素衰变为轻子对和轻强子的速率的相对阶v^4修正。特别地，我们计算了与重夸克偶素具有相同量子数的衰变算符的系数。我们还证实了以前计算的阶数-v^2修正这些速率。我们发现，对于^1S_0重夸克偶素衰变和^3S_1重夸克偶素衰变为轻子对，v展开收敛得很好。在^3S_1重夸克偶素衰变为轻强子的过程中，出现了较大的v内高阶修正。然而，我们发现，具有^3S_1量子数的算符的系数序列在v^2阶产生较大的修正，在v^4阶产生较小的修正。
Soft-Gluon Resummation in Heavy Quarkonium Physics
在重夸克偶素强子产生的框架内考虑了软胶子的再生成。一些选定的情况下进行了详细研究。相对于具有中心因子分解/重整化尺度选择的次主导阶预测，通常可以观察到截面的相当大的增加。改进的依赖性的截面上的两个尺度，特别是当它们保持相等，也被发现。
Heavy Quarkonium in the dual Ginzburg-Landau theory of QCD
在对偶Ginzburg-Landau（DGL）QCD理论中研究了重夸克偶素的质量和轻子衰变宽度，其中阿贝尔凝聚对色禁闭起着至关重要的作用。胶子传播子中的红外动量截断引入了由轻夸克对产生引起的色屏蔽效应。我们发现色屏蔽效应对于再现重夸克偶素的性质，特别是轻子衰变宽度是很重要的。我们还讨论了DGL理论中重夸克谱的系统学基础。
Non-relativistic bound state theories for QED and QCD have become fairly mature and amenable to a textbook-level understanding and computation. In this talk we give an introductory review of the following subjects related to the recent computation of the heavy quarkonium spectrum using perturbative QCD: (1) Technological developments in higher-order computation, (2) Physics predictions, (3) Challenge towards analytic evaluation of the 3-loop static QCD potential.
In this paper we solved Schrödinger equation with Song-Lin potential by using Asymptotic Iteration Method (AIM). We obtained spin-averaged energy levels of charmonium and bottomonium via AIM. Obtained results agree well with available experimental data and other theoretical studies.
Radiative transitions of heavy quarkonium states
我们研究了重$Q{\bar Q}$态的辐射衰变，无论是$Q=c$和$Q=b$，使用一个有效的拉格朗日方法，利用自旋对称性的状态。我们利用现有的辐射夸克偶素跃迁的数据来预测一些未测量的衰变率。我们还讨论了这些模式如何有助于理解X（3872）的结构。
Resummation of threshold double logarithms in hadroproduction of heavy quarkonium
针对重夸克偶素遍举产生中固定阶微扰理论因大辐射修正导致大横动量截面可能为负的失效问题，通过重整化阈值双对数解决该问题，证实其对描述大横动量下$J/ψ$快产生速率的必要性。
Quarkonium in Heavy Ion Collisions -- high-energy multiple scattering of quark pair in nuclei
重离子碰撞中的夸克偶素抑制是形成夸克-胶子等离子体的一个潜在特征。在对CERN的J/psi结果作了一个非常简短的回顾之后，我们将讨论限制在碰撞核中夸克对的高能多次散射的影响。
Heavy Quarkonium Potential and inclusive decay widths in terms of Wilson loops
我们简要地总结了在非微扰区用势NRQCD得到的一些结果：1）系统地得到了1/m展开的重夸克偶素势（用威尔逊圈的显式表达式，直到O（1/m^2）），2）描述了包含重夸克偶素的轻粒子衰变，以及NRQCD矩阵元（也是八隅体），在原点的波函数和一些胶子场强度调制器方面。
Heavy Quarkonium Effective Theory
我们提出了一种基于QCD的有效理论方法来研究重类夸克系统的$\bar{c} c$和$\bar{b} b$共振态以及$B_c$态。我们将此方法应用于包含衰变，并给出了几个具体的例子。
We present a recent calculation of $J/ψ$ and $Υ$ production in unpolarized $pp$ collision and show that this can be used to probe the unpolarized gluon as well as the linearly polarized gluon transverse momentum dependent parton distributions (TMDs). We use the color evaporation model for the heavy quarkonium production and use a generalized factorized form of the cross section. We compare the results with experimental data.
We propose a systematic, model-independent treatment of electric dipole transitions of heavy quarkonium. Within an effective field theory, concretely potential non-relativistic QCD, the relativistic corrections of relative order $v^2$ to the decay rate are derived. An existing formalism developed for M1 decays will be extended for our purpose. We scrutinize and complement former results from potential model calculations.
Heavy quarkonium production in double Pomeron exchange processes in perturbative QCD
利用双胶子交换模型计算了微扰QCD中双坡密子交换过程中的重夸克偶素产生。对于$P$波$χ_J$产生，我们发现$χ_1$和$χ_2$产生的振幅在前向散射极限处为零.我们还计算了直接$J/ψ(Υ)+γ$生产在相同的方法，这些直接的贡献是远远小于馈下的贡献，从$P$波状态。
Recent Developments in Heavy-Quarkonium Phenomenology
本文综述了非相对论QCD因子分解方法在重夸克偶素现象学中的最新进展。在这项工作中，我们考虑的主要问题包括在费米实验室Tevatron和大的相对论和QCD修正双粲偶素生产在B工厂的即时J/psi的极化。我们还考虑了bottomonia衰变中的包容性魅力产生。
Study of quark distribution amplitudes of 1S and 2S heavy quarkonium states
本文用高斯型波函数研究了1 S和2S重夸克偶素态的夸克分布振幅。对衰减常数公式的横动量$p_\perp$积分进行了解析计算。然后得到夸克分布振幅。此外，还计算了$ξ$ -矩。在确定了夸克分布振幅中出现的有关参数后，绘制了1 S和2S重夸克偶素态的夸克分布振幅曲线。最后，将该方法的数值结果与其他理论预测进行了比较。
Gluon Fragmentation into Heavy Quarkonium
重夸克-反夸克束缚态在极高能过程中的主要产生机制是碎裂，即高能部分子分裂成夸克偶素态和其他部分子。我们证明了描述这些过程的碎裂函数$D(z,μ)$可以用微扰QCD计算。在QCD耦合常数中计算了胶子分裂成S波夸克偶素态的碎裂函数。利用Altarelli-Parisi演化方程，总结了$μ/m_Q$的主要结构，其中$μ$为因子化标度，$m_Q$为重夸克质量.
Heavy-quarkonium creation and annihilation with O(alpha_s^3 ln(alpha_s)) accuracy
我们计算了O（α_s^3 ln（α_s））对重夸克偶素产生和湮灭率的贡献。我们的结果揭示了高阶微扰修正的结构，为高精度的理论分析开辟了新的视角。我们还确定了非相对论矢量和赝标流的三圈反常维数。
Applications of Nonrelativistic Effective Field Theories to quarkonium systems with a small radius
本文综述了非相对论性有效场论对小典型半径r<1/Λ QCD的重夸克-反夸克系统的预言。
Ultrasoft Effects in Heavy-Quarkonium Physics
在非相对论QCD框架下，我们考虑了一类新的辐射修正，它是通过重夸克偶素与超软虚胶子的色电偶极相互作用产生的次-主导级辐射修正。我们提供了分析公式，由此可以计算夸克偶素能级和原点处的波函数的位移。我们讨论了顶反顶和Uppersonal系统的唯象意义，并指出了一些限制描述粲偶素使用库仑势。
Heavy-quarkonium production at next-to-leading order
本文综述了在非相对论量子色动力学因式分解框架下描述2->2次领先过程中重夸克偶素产生的最新进展。具体地说，我们考虑了在双光子碰撞中与强子喷注或瞬发光子相关联的瞬发粲偶素的产生，以及在e^+e^-湮灭中唯一的双粲偶素产生。
Recent Progress in the Theory of Heavy Quark and Quarkonium Production in Hadronic Collisions
本文综述了高能强子碰撞中重夸克和夸克偶素的产生。我们讨论的理论计算和它们的不确定性的状态。然后，我们比较目前的理论结果与最近的测量从tevatron对撞机实验。
Heavy Quarkonium Physics beyond the Next-to-Next-to-Leading Order of NRQCD
本文简要回顾了用有效理论方法计算非相对论重夸克-反夸克系统参数高阶修正的最新进展。
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