First try disabling Logitech Smooth scrolling in Chrome  also SmoothScroll add in.

How smooth is it? Pixel smooth. Without Smooth Scrolling, web pages typically scroll in choppy three-line increments. With Smooth Scrolling web pages will glide across your screen in single-pixel increments. It's so smooth you can even read as you scroll.

* Requirements
- Logitech SetPoint software 6.60 and above
- Windows 7 or Windows 8
- Logitech mouse or touchpad. Logitech gaming mice are not supported.

                      

Those of you who have Smooth Scrolling and Zooming problem on ALL LOGITECH MOUSE, here is a fix!!!
SOFTWARE ENGINEERS please fix this issue, rather than telling people to uninstall Logitech Setpoint Plugin on Chrome and on other browser.This guide will turn off CTRL+Mouse Scroll, smooth scroll is in effect, you can still zoom in and out by using CTRL +/-. and still enjoy smooth scrolling. I use this for my M705 Marathon Mouse because it also has Smooth Scrolling Physical Mouse Scroll. (no more redness on my index finger)

1. download Autohotkey, then install it off course. (take note of where you install it)
2. launch it.
3. after launching it you will see the small "H"(autohotkey icon on the lower right of your monitor beside the clock) and "rightclick on it" then choose "edit this script".
4.A notepad will pop-up then add the script below at he BOTTOM of the notepad.

Just copy paste this exactly in the notepad:

#IfWinActive ahk_class Chrome_WidgetWin_1
{
^WheelDown::return
^WheelUp::return
#MaxHotkeysPerInterval 1000
}

5. Close the notepad and save it.

Now we have to make autohotkey launch automatically when windows 8 boots up.
6. Make a shortcut of the "autohotkey.exe" go to the folder where you installed it then
"right click>send to>desktop create a shortcut"
7. Go to the desktop then right click on the shortcut then choose "cut".
8. Now open windows explorer by pressing "Windows key + E" at the same time.
9. Copy and Paste this:

C:\ProgramData\Microsoft\Windows\Start Menu\Programs\Startup

on the "Explorer address bar". then press ENTER.
10. Right click on the folder and "paste". Close the Windows Explorer Folder< then restart.

This autohotkey is a small software will not slow down your PC and it is an Open Source software and free.
and it has no virus not spayware, if you don't know autohotkey, may be you came from the moon.
here is the link (edit out third party link)

Please Logitech look into this PROBLEM so we  customers and you as a company will benefit from it in the long run. Fix this already.

Just want to help Logitech customers like me.