$α_s(M_Z^2)$ in NNLO Analyses of Deep-Inelastic World Data
S. Alekhin, J. Blümlein, H. Böttcher, S. -O. Moch
本文总结了最近在深度非弹性世界数据的非线性QCD分析中对$α_s(M_Z^2)$的测定结果。
We summarize the results of recent determinations of $α_s(M_Z^2)$ in NNLO QCD analyses of the deep-inelastic world data.
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We present analytic results that describe fully-differential NNLO QCD corrections to deep-inelastic scattering processes within the nested soft-collinear subtraction scheme. This is the last building block required for the application of this scheme to computations of NNLO QCD corrections to arbitrary processes at hadron colliders.
Polarized semi-inclusive deep-inelastic scattering at NNLO in QCD
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The 3-, 4-, and 5-flavor NNLO Parton from Deep-Inelastic-Scattering Data and at Hadron Colliders
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Semi-inclusive deep-inelastic scattering at NNLO in QCD
该研究解析计算了半单举深度非弹性散射（SIDIS）系数函数的QCD NNLO修正，并通过与CERN COMPASS实验数据对比展示了其对精确物理研究的数值意义，为核子夸克味结构及夸克碎裂动力学研究提供了更高阶的理论支撑。
NNLO evolution of deep-inelastic structure functions: the singlet case
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We present the second order contributions to the coefficient functions for the parity violating polarized structure functions $g_L$ and $g_4$, thus completing the $\mathcal{O}(α_S^2)$ knowledge on DIS structure functions. We obtain the missing $\mathcal{O}(α_S^2)$ pieces from the known parity conserving unpolarized coefficient functions. We also present a phenomenological analysis for the phase space region the future Electron-Ion Collider is set to explore.
Non--Singlet QCD Analysis of Deep Inelastic World Data at \boldmath $O(α_s^3)$
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NNLO evolution of deep-inelastic structure functions: the non-singlet case
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NNLO QCD corrections to unpolarized and polarized electroweak structure functions in semi-inclusive deep-inelastic scattering
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Polarized Neutral and Charged Current Semi-Inclusive Deep-Inelastic Scattering at NNLO in QCD
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We present details on calculation of next-to-next-to-leading order QCD corrections to massive charged-current coefficient functions in deep-inelastic scattering. Especially we focus on the application to charm-quark production in neutrino scattering on fixed target that can be measured via the dimuon final state. We construct a fast interface to the calculation so for any parton distributions the cross sections can be evaluated within milliseconds by using the pre-generated interpolation grids. We discuss agreements of various theoretical predicitons with the NuTeV and CCFR dimuon data and the…
NNLO QED corrections and inelastic two-photon exchange in elastic lepton-proton scattering with McMule
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Neutral and Charged Current Semi-Inclusive Deep-Inelastic Scattering at NNLO QCD
本文研究了在未来电子离子对撞机（EIC）条件下，中性及带电电流交换对半inclusive深非弹性散射系数函数的NNLO QCD修正，分析其对现象学预测和不确定性的影响。
Hadronic jets in deeply inelastic electron-proton collisions are produced by the scattering of a parton from the proton with the virtual gauge boson mediating the interaction. The HERA experiments have performed precision measurements of inclusive single jet production and di-jet production in the Breit frame, which provide important constraints on the strong coupling constant and on parton distributions in the proton. We describe the calculation of the next-to-next-to-leading order (NNLO) QCD corrections to these processes, and assess their size and impact. A detailed comparison with data fro…
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NNLO phase-space integrals for semi-inclusive deep-inelastic scattering
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Next-to-Next-to-Leading Order QCD Corrections to Polarized Semi-Inclusive Deep-Inelastic Scattering
本文给出了极化半单举深度非弹性散射过程在次次领头阶（NNLO）的完整微扰量子色动力学修正，数值分析表明该修正对未来EIC探测具有重要意义且降低了残余标度依赖性。
NNLO contributions to inclusive-jet production in DIS and determination of α_s
我们提出的第一个计算包容性射流生产深非弹性散射与近似的下一个下一个领导阶（aNNLO）的贡献，从一个统一的阈值重申形式主义。前导系数是解析计算的。我们发现aNNLO的贡献降低了深度非弹性散射中喷流产生的理论预测，改善了最终HERA数据的描述，特别是在高光子虚度Q^2时，并增加了强耦合常数的中心拟合值。
We present a parton-shower matched NNLO QCD calculation for hadronic final state production in Deep Inelastic Scattering. The computation is based on the UNLOPS method and is implemented in the publicly available event generation framework SHERPA. Results are compared to measurements performed by the H1 collaboration.
About QCD coupling constant at NNLO from DIS data
我们简要回顾了我们最近对F2结构函数的深度非弹性散射数据进行的QCD分析，并在非单重态近似下达到了次到次到首阶的精度。具体地说，分析了由BCDMS，SLAC，NMC和BFP合作提供的高统计深度非弹性散射数据。对于耦合常数，发现以下值alpha_s（M_Z^2）= 0.1167，\pm 0.0022。
Strong coupling constant at NNLO from DIS data
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We compute the next-to-next-to-leading order (NNLO) QCD corrections to event shape distributions and their mean values in deep inelastic lepton-nucleon scattering. The magnitude and shape of the corrections varies considerably between different variables. The corrections reduce the renormalization and factorization scale uncertainty of the predictions. Using a dispersive model to describe non-perturbative power corrections, we compare the NNLO QCD predictions with data from the H1 and ZEUS experiments. The newly derived corrections improve the theory description of the distributions and of the…
General-mass treatment for deep inelastic scattering at two-loop accuracy
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High twists and the NNLO QCD corrections in DIS
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$α_s$ determination at NNLO$^\star$+NNLL accuracy from the energy evolution of jet fragmentation functions at low $z$
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Parton distributions from deep-inelastic-scattering data
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Estimating the effect of NNLO contributions on global parton analyses
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Value of alpha_s from deep-inelastic-scattering data
本文报道了用QCD方法分析荷电轻子与质子和氘的深度非弹性散射的现有数据得到的$α_{\rm s}$值，并估计了其理论不确定性，特别注意了高扭曲度对深度非弹性散射结构函数的影响。考虑到主要的不确定性，得到值$α^{\rm NNLO}_{\rm s}(M_{\rm Z})=0.1143 \pm 0.0014({\rm exp.})\pm 0.0013({\rm theor.})$。将LO-NLO-NNLO结果外推到更高阶使得可以估计$α^{\rm N^3LO}_{\rm s}(M_{\rm Z})\sim 0.113$。
Precision NNLO determination of alpha_s(M_Z) using an unbiased global parton set
我们使用NNPDF2.1 NNLO部分子拟合的全局数据集：中性和带电电流深度非弹性散射、Drell-Yan、矢量玻色子产生和包容喷流的数据，确定了微扰QCD中NNLO处的强耦合α s。我们发现alpha_s（M_Z）=0.1173+- 0.0007（stat），其中统计不确定性来自基础数据，分析过程引起的不确定性可以忽略。我们表明，不同的实验在全球拟合的alpha_s值的分布是统计上一致的，而不需要重新调整的不确定性的“公差”的因素。我们表明，如果只使用深度非弹性数据，α_s的最佳拟合值略低，但在一个西格玛内与全球确定一致。我们估计，占主导地位的理论不确定性，从高阶修正，为Δ α_s（pert）~ 0.0009。
Heavy quark mass effects in charged-current deep-inelastic scattering at approximate NNLO in the Aivazis-Collins-Olness-Tung scheme
本文在近似NNLO级别上扩展了SACOT-χ方案，用于电荷电流深度非弹性散射，实现了APFEL++代码中的结构函数，并研究了质量效应在不同实验中的影响。
The contribution of quarks with masses m >> Lambda_QCD is the only part of the structure functions in deep-inelastic scattering (DIS) which is not yet known at the next-to-next-to-leading order (NNLO) of perturbative QCD. We present improved partial NNLO results for the most important structure function F_2(x,Q^2) near the partonic threshold, in the high-energy (small-x) limit and at high scales Q^2 >> m^2; and employ these results to construct approximations for the gluon and quark coefficient functions which cover the full kinematic plane. The approximation uncertainties are carefully invest…
Improved Evaluation of the NNLO QCD Effects in the Tau Decay, $e^{+}e^{-}$ Annihilation into Hadrons and Deep-Inelastic Sum Rules
本文提出了一种系统的方法来分析次首阶QCD预言中重整化方案的不确定性，该方法基于一个条件，该条件消除了在展开系数的特征方案不变组合的表达式中引起大的相消的方案。利用这种方法，我们证明了对τ轻子衰变的QCD修正相对于方案的变化是相当稳定的，只要使用一个改进的公式，其中包括在复能量平面上用积分下的Adler函数数值计算围道积分。给出了τ衰变校正的优化预测。它表明，在QCD修正的情况下，$e^{+}e^{-}$湮没成强子的常规扩展有相当大的方案依赖，即使在大的能量。然而，当QCD修正被表示为围道积分时，获得了相当大的改进，在积分下的Adler函数，以这种方式表示大的$π^{2}$贡献。在极化结构函数的Bjorken求和规则的修正的情况下，发现对于$n_{f}=4$，它们对方案的改变不敏感。然而，$n_{f}=3$的表达被发现是强烈的计划依赖于在较低的能量。
Impact of the three-loop corrections on the QCD analysis of the deep-inelastic-scattering data
在NNLO QCD近似下，对已有的深部非弹性散射数据进行了分析。得到了部分子分布函数和强耦合常数$α_{s}(M_Z)=0.1143\pm0.0013 (exp)$的值。分析了PDF对分裂函数的NNLO修正值的不确定性的敏感性。结果表明，由于这种不确定性的PDF文件的错误一般小于实验的不确定性，通过该区域的$x$跨越现有DIS数据的PDF文件。
Next-to-next-to-leading order QCD analysis of the CCFR data for xF_3 and F_2 structure functions of the deep-inelastic neutrino-nucleon scattering
利用Jacobi多项式展开方法，对中微子和反中微子与核子深度非弹性散射的$xF_3$和$F_2$结构函数的CCFR合作组实验数据进行了次次领头阶（NNLO）非单重态QCD分析.还考虑了目标质量校正。我们证明了NNLO校正的重要性：它们减少了从$xF_3$数据的NLO拟合和从组合$xF_3$和$F_2$ CCFR数据的NLO非单态拟合中提取的$α_s(M_Z)$值之间的差异。获得的$α_s(M_Z)$的NNLO结果为：$α_s(M_Z)=0.109 \pm 0.003(stat) \pm 0.005(syst) \pm 0.003 (theor)$（来自$xF_3$数据）和$α_s(M_Z)=0.111\pm 0.002 (stat) \pm 0.003 (syst) \pm 0.003 (theor)$（来自组合的$xF_3$和$F_2$数据）。我们还估计的值的顺序$O(α_s^2)$ -校正Gottfried总和规则。
Parton distribution functions and benchmark cross sections at NNLO
本文根据深度非弹性散射的世界数据和Drell-Yan过程的固定靶数据，确定了QCD中的部分子分布函数（ABM 11）和次领先阶和次领先阶的强耦合常数α s（NNLO）。对n_f= 3，4，5采用固定味数方案，对α_s和重夸克质量采用MSbar方案。在NNLO下，我们得到值alpha_s（M_Z）= 0.1134 +- 0.0011。拟合结果用于计算强子对撞机的基准截面，达到NNLO精度，并与LHC的数据进行比较。
A first determination of the strong coupling $α_s(m_Z)$ in next-to-next-to-leading order (NNLO) from inclusive jet and dijet production cross sections in deep-inelastic scattering at HERA is presented. Data collected by the H1 experiment in the years 1995 to 2007 covering the range of momentum transfer $5.5<Q^2<15\,000\,{\rm GeV}^2$ and jet transverse momenta $P_T>4.5\,{\rm GeV}$ are explored. The strong coupling is determined in a fit to inclusive jet and dijet data to $α_s(m_Z)=0.1157\,(6)_{\rm exp}\,(^{+31}_{-26})_{\rm theo}$. Further studies on the phenomenological application of the new N…
QCD coupling constant at NNLO from DIS data
在非单重态近似下，分析了各种固定靶实验中F2结构函数的深度非弹性散射数据，其精度达到次-次-首阶。对BCDMS、SLAC、NMC和BFP合作提供的高统计深度非弹性散射数据分别进行了研究，并对BCDMS、SLAC、NMC和BFP合作提供的高统计深度非弹性散射数据进行了综合分析。对于耦合常数，我们得到了如下的值α_s（M_Z^2）= 0.1167 +/- 0.0021（总实验误差）+0.0056/-0.0036（理论值），在这种近似下，它比通常所预期的在次一级得到的值稍小。同样，相对于在次领先阶分析的情况下获得的理论不确定性降低，从而证实了早期的观察结果。
NNLO Time-like Splitting Functions in QCD
本文综述了微扰QCD中碎裂函数演化到次主导阶的类时分裂函数的计算现状。利用类空与类时深度非弹性过程之间的关系，得到了夸克-夸克和胶子-胶子三圈的类时分裂函数。夸克-胶子和胶子-夸克在这个量级上分裂的相应量，除了它们的第二梅林矩外，目前还不知道。
Neutrino deep-inelastic scattering cross sections from 100 GeV to 1000 EeV
该研究利用CTEQ18 NNLO部分子分布函数，计算了100 GeV至1000 EeV能量范围内的中微子-核子散射截面。
NNLO low-energy constants from flavor-breaking chiral sum rules based on hadronic tau-decay data
利用非奇异和奇异强子τ衰变的谱数据，构造了包含味ud和us流-流两点函数的味破开手征求和规则，并用于确定SU（3）NNLO低能常数组合C_{61} ^r，C_{12} ^r + C_{61} ^r + C_{80} ^r和C_{12} ^r-C_{61} ^r+ C_{80} ^r.其中第一个决定更新了Durr和Kambor早期分析的结果，而后两个是新的。C_{12} ^r+ C_{61} ^r+ C_{80} ^r的误差特别小。比较模型估计这些数量。第三个组合的作用，显着改善的非线性光学的低能量常数L_{10} ^r的测定从非线性光学分析的风味UD的V-A相关器也突出显示。
NNLO Calculation of DIS; Precision Determination of the Strong Coupling Constant, Extraction of the Gluon Density, and Comments on "Hidden" Gluinos
讨论了次首阶深度非弹性过程的计算。在$2.5\leq Q^2\leq 230 GeV^2$范围内拟合$ep$实验，得到了耦合$α_s(M_Z^2)=0.1163\pm0.0023$ .我们还得到了胶子密度$xG(x,Q^2\simeq 10 GeV^2)=0.51 x^{-0.44}(1-x)^{8.1}$，以及轻胶子存在的否定证据
NNLO Determination of Polarized Parton Distribution Functions with Higher-Twist and Target-Mass Corrections
该研究基于包容性极化深度非弹性散射数据集，用NNLO QCD分析极化部分子分布函数，得到\texttt{KLS26}集。考虑加性和乘性HT参数化估计不确定性，评估NNLO修正影响，还进行额外拟合，其结果为核子自旋结构精确研究提供更新确定。
Treatment of QED corrections in jet production in deep inelastic scattering at ZEUS
本文讨论 ZEUS 深度非弹性散射喷注产生测量中高阶 QED 效应的处理，以实现与 NNLO QCD + NLO 电弱预测的直接比较。
Analytic and "frozen" QCD coupling constants up to NNLO from DIS data
在非单重态近似下分析了BCDMS、SLAC和NMC合作组提供的F_2结构函数的深度非弹性散射数据，并对强耦合常数进行了解析和“冻结”修正，使其不具有非物理奇异性（朗道极点）。对于最近考虑的α_s的标准微扰定义的情况，我们观察到理论和实验之间一致性的改善，并且发现次-次-首阶中的高扭项的行为证实了以前关于这个问题的研究。
The combined HERA data for the inclusive deep inelastic scattering (DIS) cross sections for the momentum transfer $Q^2 > 1$ GeV$^2$ are fitted within the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) framework at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) accuracy, complemented by a QCD-inspired parameterisation of twist 4 corrections. A modified form of the input parton density functions is also included, motivated by parton saturation mechanism at small Bjorken $x$ and at a low scale. These modifications lead to a significant improvement of the data description…
NNLO QCD corrections to semi-inclusive DIS
本文首次计算了半单举深度非弹性散射的NNLO QCD修正，在领头色下解析得到夸克味非单态过程的完整贡献，数值结果表明该修正显著减小了标度依赖性。
NNLO global parton analysis
我们进行了NNLO（和LO）的全球部分子分析，其中包括新的精确的数据，从HERA和包容性射流生产在Tevatron的深度非弹性散射，以及改进的知识的三个回路分裂函数。与我们最近的非线性光学分析的结果进行了比较。LO拟合一般产生明显更差的结果，但对Tevatron高E_T喷流数据给出了令人惊讶的良好拟合。对于近似NNLO分析，我们注意到整体拟合的质量略有改善，并且发现在Q^2=10 GeV^2$处部分子的变化高达10%，特别是在x<0.01的区域。
Determination of $α_s$ and $m_c$ in deep-inelastic scattering
本文描述了在$\bar{\rm MS}$ -方案中，基于对非极化World深非弹性散射数据的QCD分析，强耦合常数$α_s(M_Z^2)$和粲夸克质量$m_c(m_c)$的确定。在NNLO下，获得$α_s(M_Z^2)=0.1134\pm 0.0011(\text{exp})$和$m_c(m_c)=1.24 \pm 0.03 (\text{exp})\,^{+0.03}_{-0.02} (\text{scale})\,^{+0.00}_{-0.07} (\text{th})$的值，并与其他测定值进行比较，同时澄清差异。
We determine polarized parton distribution functions (PPDFs) and structure functions from recent experimental data of polarized deep inelastic scattering (DIS) on nuleons at next-to-next-to-leading order (NNLO) approximation in perturbative quantum chromodynamic (pQCD). The nucleon polarized structure functions are computed using the Jacobi polynomial approach while target mass corrections (TMCs) are included in our fitting procedure. Having extracted the polarized spin structure functions, we extend our study to describe $^3{\mathrm He}$ and $^3{\mathrm H}$ polarized structure functions, as w…
Heavy flavor operator matrix elements at $O(a_s^3)$
在渐近区$Q^2 \gg m^2$中，深非弹性散射中的重夸克效应可用重味算符矩阵元来描述。目前${\sf NLO}$已知这些对象的完整解析表达式。我们目前的第一个结果固定的时刻在${\sf NNLO}$。这涉及到重新计算相应的${\sf NNLO}$反常尺寸的固定力矩，我们从而确认。
The CT10 NNLO Global Analysis of QCD
我们提出了下一个到下一个到主导顺序（NNLO）的部分子分布函数（PDF）的CTEQ-TEA组。CT 10 NNLO PDF拟合基于CT 10和CT 10 W NLO PDF分析中使用的基本相同的全局数据集。在探索HERA组合数据和Tevatron射流数据的拟合优度后，我们提出了各种预测，在NNLO精度为现有的和即将到来的精确测量从欧洲核子研究中心大型强子对撞机。胶子分布的变化范围内引入相关的系统性影响，包括喷流生产也检查。
A nonsinglet QCD analysis of neutrino-nucleon structure function is performed based on all the data for charged current neutrino-nucleon deep inelastic scattering (DIS) corresponds to NLO and NNLO approximations, with taking into account the nuclear and higher twist corrections. In this analysis, we extract $xu_v(x,Q^2)$ and $xd_v(x,Q^2)$ valence parton distribution functions (PDFs) in a wide range of $x$ and $Q^2$, and determine their parametrization with the correlated errors using the xFitter framework. Our results regarding valence-quark densities with their uncertainties are compared to t…
Effect of the analytic and frozen coupling constants in QCD up to NNLO from DIS data
我们给出了一个简短的回顾我们最近的分析[1]的深非弹性散射数据（由BCDMS，SLAC，NMC提供）的F2结构函数在非单态近似下，高达次至次至首阶精度和分析和冻结修改的强耦合常数没有非物理奇异性（朗道极点）。对于最近在[2]中考虑的强耦合常数的标准微扰定义的情况，观察到理论和实验之间一致性的改进。
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