What you're experiencing is fairly typical with most shooters. It's characterized as trying to achieve the perfect shot and in doing so jerking the trigger. Shooting disciplines that require less artificial support magnify this condition. It is a well-known problem in free hand precision pistol shooting and the same principle applies to rifle shooting where there is less artificial support.
Every shooter has an 'area" of movement. The really good shooters have a smaller area of movement, but all have some area of movement. The higher magnification does not increase the area of movement, but it makes it more noticeable and results in the shooter trying to time the trigger pull with the "perfect" sight picture. Thus, this often results in jerking the trigger and creating a poor shot. This is why you are shooting a smaller group with the lower magnification versus the high magnification.
Watch Ryan Cleckner's video on "Acceptable Accuracy,". He explains it better than me and how to correct this common condition. The correction is developing a shooting style that allows the reticle to float within the area of the target defined to be a good shot while at the same time employing good trigger control.
With practice, it can be mastered. I know because I mastered in precision pistol shooting enough to qualify as a Distinguished Expert. Also with a rifle, I shoot off shooting sticks and while somewhat stable, I am a varmint hunter and my "good shot" area is a small vital area. In addition, varmint hunting requires the use of a higher magnification scopes thus I experience the same issue. But I have developed an area aiming / trigger control which mitigates the issue.
As others mentioned, your discipline may require a certain magnification of scope to be competitive so this something you will need to work on, but it can be improved.
Every shooter has an 'area" of movement. The really good shooters have a smaller area of movement, but all have some area of movement. The higher magnification does not increase the area of movement, but it makes it more noticeable and results in the shooter trying to time the trigger pull with the "perfect" sight picture. Thus, this often results in jerking the trigger and creating a poor shot. This is why you are shooting a smaller group with the lower magnification versus the high magnification.
Watch Ryan Cleckner's video on "Acceptable Accuracy,". He explains it better than me and how to correct this common condition. The correction is developing a shooting style that allows the reticle to float within the area of the target defined to be a good shot while at the same time employing good trigger control.
With practice, it can be mastered. I know because I mastered in precision pistol shooting enough to qualify as a Distinguished Expert. Also with a rifle, I shoot off shooting sticks and while somewhat stable, I am a varmint hunter and my "good shot" area is a small vital area. In addition, varmint hunting requires the use of a higher magnification scopes thus I experience the same issue. But I have developed an area aiming / trigger control which mitigates the issue.
As others mentioned, your discipline may require a certain magnification of scope to be competitive so this something you will need to work on, but it can be improved.