i have a triple boot. windows 10 and arcolinux [based on archlinux] and deepin . deepin is in charge on bootloader. windows 10 boot OK no problem. but arcolinux hang on a black screen. if i choose it from bios . it boot OK. no problem.

sudo update-grub
[sudo] password for samir: 
Verification successful
Generating grub configuration file ...
Found theme: /boot/grub/themes/deepin-fallback/theme.txt
Found background image: /boot/grub/themes/deepin-fallback/background.jpg
Found linux image: /boot/vmlinuz-5.15.45-amd64-desktop
Found initrd image: /boot/initrd.img-5.15.45-amd64-desktop
Found  image: /boot/vmlinuz-5.15.45-amd64-desktop
Found initrd image: /boot/initrd.img-5.15.45-amd64-desktop
Found Windows Boot Manager on /dev/sdb2@/efi/Microsoft/Boot/bootmgfw.efi
Found ArcoLinux (rolling) on /dev/sdb5
Adding boot menu entry for EFI firmware configuration
done

sudo fdisk -l
Disk /dev/sda: 465.8 GiB, 500107862016 bytes, 976773168 sectors
Disk model: ST500DM002-1BD14
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 4096 bytes
I/O size (minimum/optimal): 4096 bytes / 4096 bytes
Disklabel type: gpt
Disk identifier: B1A5F7FF-DCCC-4E19-8B46-F948A5ED46B2

Device         Start       End   Sectors  Size Type
/dev/sda1       2048    616447    614400  300M EFI System
/dev/sda2     616448   3762175   3145728  1.5G Linux filesystem
/dev/sda3    3762176  35219455  31457280   15G Linux filesystem
/dev/sda4   35219456  66676735  31457280   15G Linux filesystem
/dev/sda5   66676736 924344319 857667584  409G Linux filesystem
/dev/sda6  924344320 964190207  39845888   19G Linux filesystem
/dev/sda7  964190208 976773119  12582912    6G Linux swap


Disk /dev/sdb: 232.9 GiB, 250059350016 bytes, 488397168 sectors
Disk model: ST3250310AS   
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 512 bytes
I/O size (minimum/optimal): 512 bytes / 512 bytes
Disklabel type: gpt
Disk identifier: 048FC690-12D4-43BC-BF04-7B3FA5045DB5

Device         Start       End   Sectors   Size Type
/dev/sdb1       2048    923647    921600   450M Windows recovery environment
/dev/sdb2     923648   1128447    204800   100M EFI System
/dev/sdb3    1128448   1161215     32768    16M Microsoft reserved
/dev/sdb4    1161216 282923279 281762064 134.4G Microsoft basic data
/dev/sdb5  282923281 488396799 205473519    98G Linux filesystem