Want. Best practices to solve the sort question with ES

I want to sort some entities(A),each of them is related to another kind of entity(B). Different A has different relation score with B。I want to query A by B and sort them by relation scores。
some samples for A:

{
	"name":"aaa",
	"bEntitys":{
		"b_1": 1,
		"b_2": 3,
		"b_4": 5
	}
}
{
	"name":"ccc",
	"bEntitys":{
		"b_1": 1,
		"b_3": 3,
		"b_5": 5
	}
}
{
	"name":"eee",
	"bEntitys":{
		"b_2": 1,
		"b_3": 3,
		"b_4": 5,
		"b_5": 8,
		"b_6": 0,
		"b_7": 3
	}
}
{
	"name":"fff",
	"bEntitys":{
		"b_1": 1
	}
}

At present, I import the bEntitys field into ES with Object type and indexed them. so,I can search them with the logic of:(search b_1,for example)

  1. Filter: field bEntitys.b_1 is exist.
  2. Sort: get bEntitys.b_1's score for sort.

Question is that, every key of bEntitys will be the field of the current index(json field will be paved). when there is a lot of B,it is going to exceed the maximum limit of index fields.

In addition, may be script can do this,but Its performance is not good.
Is there any other ways?
Thanks.

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