Determination of pion distribution amplitudes from the electromagnetic form factor with the data-driven dispersion relation

التفاصيل البيبلوغرافية
العنوان: Determination of pion distribution amplitudes from the electromagnetic form factor with the data-driven dispersion relation
المؤلفون: Chai, Jian, Cheng, Shan, Hua, Jun
سنة النشر: 2022
المجموعة: High Energy Physics - Phenomenology
مصطلحات موضوعية: High Energy Physics - Phenomenology
الوصف: We study the pion electromagnetic form factor in the modulus squared dispersion relation, and do the model independent extraction of the most important nonperturbative parameters in pion light-cone distribution amplitude. The motivation of this work is the recent measurement of timelike form factor in the resonant regions, which makes up the piece lacking solid QCD-based calculation. With the perturbative QCD calculation up to next-to-leading-order QCD corrections and twist four level of meson distribution amplitudes, we obtain the chiral mass of pion meson as $m_0^\pi(1 \, {\rm GeV}) = 1.31^{+0.27}_{-0.30} \, {\rm GeV}$. More accuracy measurement of the timelike form factor are desirable to help us to determine the lowest gegenbauer moments in pion distribution amplitudes with the data-driven dispersion relation method developed in this work.
Comment: 9pages, 6 figures, 1 table
نوع الوثيقة: Working Paper
DOI: 10.1140/epjc/s10052-023-11725-2
URL الوصول: http://arxiv.org/abs/2209.13312
رقم الأكسشن: edsarx.2209.13312
قاعدة البيانات: arXiv
الوصف
DOI:10.1140/epjc/s10052-023-11725-2