As China experiences rapid economic growth, the conventional approach to development has given rise to severe ecological and environmental issues. The conflict between achieving high-quality economic development and addressing resource and ecological concerns propels China towards adopting a more environmentally conscious approach. Internationally, there is a widespread recognition that technological innovation plays a crucial role in fostering the harmonious coexistence of economic growth and environmental well-being, promoting resource efficiency and sustainable development. The objective of this research is to evaluate the effectiveness of sustainable development in the Beijing–Tianjin–Hebei area between 2010 and 2020. Slacks-based Measure (SBM) model enhancements, radiality aspect defect corrections, and the incorporation of unexpected output indicators have all contributed to the enhancement of the conventional DEA model. Labour force, energy consumption, gross domestic product, and industrial pollutant emissions are evaluated in order to determine the level of efficiency. Furthermore, the study takes into account the influence of various factors on the development of green economies, including economic development level, scientific research, educational support, environmental regulation, carbon emission reduction, technological innovation, industrial structure, degree of openness, and government financial expenditure. In order to evaluate the high-quality development efficacy of the green economy in the Beijing–Tianjin–Hebei region, this study employs a research methodology that combines quantitative analysis and modelling techniques. The fundamental processes are composed of developing an indicator system, constructing the SBM model, gathering and analysing data, and identifying influencing factors through the correction of radiality aspect flaws and the inclusion of unexpected output indicators to reduce measurement bias. In addition, comprehensively assessing the high-quality development efficacy of the green economy in the Beijing–Tianjin–Hebei region, the methodology combines quantitative analysis, statistical modelling, and data interpretation. The findings enhance comprehension of the variables that impact the efficacy of the green economy and facilitate the development of impactful strategic initiatives. Moreover, expanding upon the DEA model, the SBM model aims to mitigate angular and radial measurement bias by incorporating unexpected output indicators and enhancing the correction for radiality aspect defects. This article focuses on the case study of the Beijing–Tianjin–Hebei region in China, investigating the high-quality development of the green economy in this urban agglomeration. Utilizing the SBM model, we assess the efficiency of the region's green economy development. Additionally, we employ the Tobit regression model to delve into the impact of environmental regulation and carbon emission reduction on the efficiency of high-quality green economy development. Through empirical analysis, we uncover the driving forces behind the region's green economy development and propose optimization measures to enhance China's overall high-quality green economic development. These measures are centered around leveraging environmental regulation and carbon emission reduction as catalysts for sustainable economic growth and efficient resource utilization. [ABSTRACT FROM AUTHOR]