(beginner) git rm

[Zabre <427@free.fr>]

Hi,

I am learning git and there is something I don't get : why a file deleted in
a branch gets also deleted in my master?
(For the moment I'm only working locally, no remote repository)

I have a master branch containing 4 text files called a.txt , b.txt , c.txt
, d.txt . (in HEAD)

I create a new branch from there (masters HEAD) and go to this new branch.
$ git branch new
$ git checkout new

I delete one file in the new branch
$ git rm d.txt
$ ls
a.txt b.txt c.txt

Then I go back to the master branch and list the files there
$ git checkout master
$ls
a.txt b.txt c.txt

I have not modified the master branch, why is d.txt deleted there also?

There must be something I did not understand in git behaviour (something to
do with the index?)
Thank you for your help.
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