They also list:

BED TOOK FIRE by MORRISSEY STEVEN, STREET STEPHEN

STRIPTEASE WITH A DIFFERENCE by LANGER CLIVE WILLIAM, MORRISSEY STEVEN

I find it interesting that you guys are not talking about this. Looking at the information in the BMI site, it looks like "Arcana" is a recently registered song, since it lists Mozz's company (Bona Relations) and Marr's (Warner-Tarmelane, the same he currently uses with Electronic). Before The Smiths breakup, there wasn't Bona Relations, obviously.

It is also possible that this is an old recording that got registered recently. In any case, could this be the result from the rumoured Mozz/Marr's sessions in LA last year?

Here's the data found in the BMI site:

Titles with writer and publisher accounts matching "ARCANA " are:
                                 
(Total 1 titles, page 1of 1.)

1. ARCANA BMI Work #5024410
                                          Writers Current Affil. CAE #
                                          MARR JOHNNY PRS 121732510
                                          MORRISSEY STEVEN PRS 121718010
                                          Publishers Current Affil. CAE #
                                          BONA RELATIONS LTD (GB) PRS 161659853
                                          WARNER-TAMERLANE PUBLISHING CO BMI 185314175
                                          Additional Publishers

From the latest Johnny Marr q&a slot:

Johnny,
I was recently browsing the BMI website that lists published songs and the artists. One song I found credited to you and Morrissey is called "Arcana". Is this an error or a song that was recorded but never released or perhaps a working title of another song?
Thanks.

A;I've never heard of it.

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So what is this stuff all about,hm?

Johnny Marr said: "I've never heard of it".
(source: http://www.jmarr.com)