It sounds to me like you just need a good setup, though I can't say for sure with out seeing the guitar. However, if the string is buzzing when fretted, didelling with the nut is not the only part of the fix (it is probably part of the issue as this is a new guitar), as the nut is not the cause of the problem. An improperly cut nut will only cause buzzing on an open string. Here is a short list of some of the most common reasons for a guitar to buzz (thanks to Frank Ford at
Gryphon in Palo Alto for the list):
1. Low action at nut
2. Low action at saddle
3. Action too high, can’t fret cleanly
4. String too light
5. Nut low, not enough relief, buzz behind fret
6. Backbow neck
7. String interference above nut (tuner posts, etc.)
8. String rattles against sides of nut slot
9. Flat saddle top
10. Poor break angle over saddle
11. Uneven frets
12. Flat frets
13. Frets too low
14. Loose truss rod
15. Loose string ball
16. Loose brace
17. Loose top or back
18. Loose plies on laminated instrument
19. Loose pickguard
20. Loose bridge
21. Loose truss rod cover
22. Loose string winding
23. Loose gear part
24. Operator error = poor technique
25. It just does = string’s natural “noise”
26. They all do = other similar instruments make the same noise
Which is to say, take it to a professional and have it setup right. It will probably cost you about $60 to $90, but it will be right, and much better than you can do yourself. As far as what the problem is, neither I nor anyone else on this or any other board will have any clue until we have looked at it, which means holding it in my hands and taking a few minutes to check it out. Do not expect good advice from anyone who has not actually looked at it.
A couple of other things. First of all, do not expect to get an instrument from a dealer which is setup right. It almost never happens. There are just too many variables. The first thing that should be done with almost any instrument (the only exceptions are really high end hand made instruments, which should be right) is to take it to a good repair shop and get it setup. This will involve adjusting the neck relief with the truss rod, adjusting the nut slots (which should be right from the factory, but never are), adjusting the action (which is not adjusted by the truss rod, BTW), and on electric guitars adjusting the intonation and electronics.
Second, feeler gauges are totally unnecessary and useless when adjusting nuts. I know many very fine Luthiers use them, but as near as I can tell all they do is insure the nut is set improperly. It is a basic concept of woodworking. If you want it as close as you can, measure, but if you want it perfect you never measure. You fit. You take away small amounts of material until it is perfect. The primary "measurement" devices needed for checking a nut are your eyes and ears. You use your eyes if the guitar is strung up, and you fret just in front of the second fret, which creates a straight edge with the string between the second fret and the nut. This straight edge should just about touch the first fret. If it is actually touching the first fret, the nut is probably too low. The other test is, with the string out of the way (off or moved to one side) you use a small, thin straight edge (we use the back of a little "razor" saw or an Exacto saw with it's back removed). You rest this straight edge along the path of the string from the nut towards the bridge. You slide this towards the bridge, and listen to the click when the straight edge leaves the nut slot and clicks against the frets. This will get you a more accurately cut nut than anyone could ever do with a set of feeler gauges.
Paper, superglue, and epoxy will all wear out very quickly. Take the instrument to a good repair person and get the right fix. Also, putting paper in the nut can screw up the intonation by changing the contact point, which is a big deal.
And can I just say that Otis Reading is the best damn singer ever to live. (Can you guess what I have on the shops stereo right now?)
Sorry for the long reply.
Light
"Cowards can never be moral."
M.K. Gandhi