Low-energy elastic (anti)neutrino−nucleon scattering in covariant baryon chiral perturbation theory

doi:10.1007/s11467-024-1417-4

Frontiers of Physics

2024, Vol. 19

Issue (6): 64202 https://doi.org/10.1007/s11467-024-1417-4

本期目录

Low-energy elastic (anti)neutrino−nucleon scattering in covariant baryon chiral perturbation theory

Jin-Man Chen¹, Ze-Rui Liang¹, De-Liang Yao^1,^2,³(

)

¹. School of Physics and Electronics, Hunan University, Changsha 410082, China
². Hunan Provincial Key Laboratory of High-Energy Scale Physics and Applications, Hunan University, Changsha 410082, China
³. CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

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Abstract：

The low-energy antineutrino- and neutrino−nucleon neutral current elastic scattering is studied within the framework of the relativistic SU(2) baryon chiral perturbation theory up to the order of $O (p 3)$ . We have derived the model-independent hadronic amplitudes and extracted the form factors from them. It is found that differential cross sections $d σ / d Q 2$ for the processes of (anti)neutrino−proton scattering are in good agreement with the existing MiniBooNE data in the $Q 2$ region $[0.13, 0.20]$ GeV², where nuclear effects are expected to be negligible. For $Q 2 ≤ 0.13$ GeV², large deviation is observed, which is mainly owing to the sizeable Pauli blocking effect. Comparisons with the simulation data produced by the NuWro and GENIE Mento Carlo events generators are also discussed. The chiral results obtained in this work can be utilized as inputs in various nuclear models to achieve the goal of precise determination of the strangeness axial vector form factor, in particular when the low-energy MicroBooNE data are available in the near future.

Key words： chiral perturbation theory neutrino−nucleon scattering form factors chiral Lagrangians one-loop amplitude neutral weak current

收稿日期: 2024-03-29 出版日期: 2024-06-19

Corresponding Author(s): De-Liang Yao

引用本文:

. [J]. Frontiers of Physics, 2024, 19(6): 64202.
Jin-Man Chen, Ze-Rui Liang, De-Liang Yao. Low-energy elastic (anti)neutrino−nucleon scattering in covariant baryon chiral perturbation theory. Front. Phys. , 2024, 19(6): 64202.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-024-1417-4
https://academic.hep.com.cn/fop/CN/Y2024/V19/I6/64202

Fig.1

Physical process	$C 3$	$C 0$

$ν + p → ν + p$	1	1
$ν ¯ + p → ν ¯ + p$	1	1
$ν + n → ν + n$	$− 1$	1
$ν ¯ + n → ν ¯ + n$	$− 1$	1

Tab.1

Fig.2

Fig.3

	LEC	Value	Source

$L π N (1)$	$g$	$1.13 ± 0.01$	$G A$ [53]
$L π N (2)$	$c 6$	$1.35 ± 0.04$	$κ p$ and $κ n$ [12, 43]
	$c 7$	$− 2.68 ± 0.08$	$κ p$ and $κ n$ [12, 43]
$L π N (3)$	$d 6$	$0.0 ± 1.0$	−
	$d 7$	$− 0.49$	Electromagnetic radii [26]
	$d 16$	$− 0.83 ± 0.03$	$G A$ [53]
	$d 22$	$0.96 ± 0.03$	$G A$ [53]

Tab.2

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

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