Combine different fields for percentile

I have a situation where I have documents with multiple histogram fields. I would sometimes like to get the percentile of combined fields.
Here is a sample mapping

PUT /t1
{
  "settings": {
    "index": {
      "number_of_shards": 1,
      "number_of_replicas": 0
    }
  },
  "mappings": {
    "properties": {
      "myDocId":{"type":"keyword"},
      "field_1": {
        "properties": {
          "histogram": {"type": "histogram"}
        }
      },
      "field_2": {
        "properties": {
          "histogram": {"type": "histogram"}
        }
      }
    }
  }
}

Here we can load a few documents

PUT t1/_doc/1
{
  "myDocId": "md_1",
  "field_1": {
    "histogram": {
      "values": [10,12,15,17,20],
      "counts": [3,7,23,12,6]
    }
  },
  "field_2": {
    "histogram": {
      "values": [21,23],
      "counts": [3,5]
    }
  }
}

PUT t1/_doc/2
{
  "myDocId": "md_2",
  "field_1": {
    "histogram": {
      "values": [21,23,24,26,28],
      "counts": [3,7,23,12,6]
    }
  },
  "field_2": {
    "histogram": {
      "values": [29,32],
      "counts": [3,5]
    }
  }
}

I know I can get the percentile of single doc field by grouping on myDocId or going across multiple documents on the same field like:

GET t1/_search
{
  "size": 0,
  "aggs": {
    "percentile_field1": {
      "percentiles": {
        "field": "field_1.histogram"
      }
    }
  }
}

But what I can't seem to get is combining field_1 and field_2 together to pass into the percentile agg. Any thoughts?
thanks --

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