方法对比

	部分子分布函数（PDF）拟合	重整化群方程	Vegas Monte Carlo
领域	粒子物理学	粒子物理学	粒子物理学
方法族	Process / pipeline	Process / pipeline	Process / pipeline
起源年份	1969	1970	1978
提出者	James Bjorken and collaborators	Curtis Callan and David Gross	Peter Lepage
类型	QCD framework	Scale dependence framework	Adaptive sampling algorithm
开创性文献	Bjorken, J. D. (1969). Asymptotic sum rules at infinite momentum. Physical Review, 179(5), 1547.	Callan, C. G. (1970). Broken scale invariance in scalar field theory. Physical Review D, 2(6), 1541.	Lepage, G. P. (1978). A new algorithm for adaptive multidimensional integration. Journal of Computational Physics, 27(2), 192–203.
别名	PDF, structure function, parton model	RGE, running couplings, beta function evolution	VEGAS algorithm, adaptive importance sampling, multidimensional integration
相关	3	3	3
摘要	Parton Distribution Function (PDF) fitting is the process of determining the probability distributions of quarks and gluons inside hadrons using high-energy collision data. PDFs are fundamental inputs to all hadron collider phenomenology, essential for predicting cross-sections, designing triggers, and interpreting new physics searches at the Large Hadron Collider.	Renormalization Group Equations (RGEs) describe how the coupling constants and masses of a quantum field theory evolve with energy scale. They are fundamental tools for understanding the scale dependence of physics, predicting the behavior of coupling strengths at different energies, and connecting high-energy physics to low-energy precision measurements.	VEGAS is an adaptive Monte Carlo algorithm for numerical integration of multidimensional functions, particularly useful for high-dimensional integrals common in particle physics calculations. By adaptively refining the sampling distribution to concentrate points in high-contribution regions, VEGAS dramatically improves integration efficiency compared to naive Monte Carlo.